
Time bar (total: 4.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.2s | 6 013× | 1 | valid |
| 140.0ms | 2 243× | 0 | valid |
ival-cos: 318.0ms (29.1% of total)ival-mult!: 308.0ms (28.2% of total)ival-sin: 204.0ms (18.6% of total)adjust: 164.0ms (15% of total)ival-div!: 56.0ms (5.1% of total)ival-add!: 45.0ms (4.1% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 95 |
| 1 | 178 | 93 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b)))) |
#s(approx r #s(hole binary64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos b))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))))) |
#s(approx (+ a b) #s(hole binary64 b)) |
#s(approx (+ a b) #s(hole binary64 (+ a b))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b)))) |
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b r))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos a))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))))) |
#s(approx (sin b) #s(hole binary64 (sin b))) |
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a) |
| 2.0ms | r | @ | inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a) |
| 2.0ms | r | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a) |
| 2.0ms | r | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a) |
| 2.0ms | a | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 925 |
| 0 | 232 | 881 |
| 1 | 1545 | 775 |
| 2 | 7610 | 761 |
| 0 | 8374 | 723 |
| 1 | 20041 | 723 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b)))) |
#s(approx r #s(hole binary64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos b))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))))) |
#s(approx (+ a b) #s(hole binary64 b)) |
#s(approx (+ a b) #s(hole binary64 (+ a b))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b)))) |
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b r))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos a))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))))) |
#s(approx (sin b) #s(hole binary64 (sin b))) |
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))) |
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (fabs.f64 (+.f64 a b)))) |
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (fabs.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (-.f64 (neg.f64 b) a)) |
(-.f64 a (neg.f64 b)) |
(-.f64 b (neg.f64 a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r)) |
#s(approx r r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (*.f64 a r) (*.f64 (tan.f64 b) (tan.f64 b)) (*.f64 (tan.f64 b) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (*.f64 (tan.f64 b) (tan.f64 b)) r (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) (tan.f64 b) (*.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)) r)) a)) a (*.f64 (tan.f64 b) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (tan.f64 b) r (*.f64 (fma.f64 (*.f64 (tan.f64 b) (tan.f64 b)) r (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (-.f64 (*.f64 r (*.f64 (tan.f64 b) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)) r)) (tan.f64 b) (*.f64 (*.f64 (*.f64 (tan.f64 b) (tan.f64 b)) r) #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) r) (tan.f64 b) (*.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)) r))) a)) a))) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))) |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b))) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx a a) |
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (fma.f64 (/.f64 b a) a a)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (fma.f64 (/.f64 b a) a a)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) (tan.f64 a)))) b (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (* r (sin b)) (*.f64 b r)) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) b) b r) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) b #s(literal 1 binary64)) b)) |
#s(approx (cos (+ a b)) (cos.f64 a)) |
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) |
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))) |
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) (cos.f64 a))) |
#s(approx (sin b) (sin.f64 b)) |
#s(approx (+ a b) (fma.f64 (/.f64 a b) b b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (fma.f64 (/.f64 a b) b b)) |
Compiled 732 to 320 computations (56.3% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 23 | 81 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 59 | 23 | 82 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| ▶ | 43.3% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
| 42.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 65.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) | |
| ▶ | 62.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b))) |
| 57.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))) | |
| 58.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) | |
| 59.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 58.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) | |
| 60.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 56.0% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) | |
| 56.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) | |
| 78.9% | (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) | |
| 78.9% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) | |
| 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) (tan.f64 a)))) b (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) b (/.f64 r (cos.f64 a))) b)) | |
| 57.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) b (/.f64 r (cos.f64 a))) b)) | |
| ▶ | 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
| 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| ▶ | 62.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
Compiled 690 to 622 computations (9.9% saved)
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
a |
(cos.f64 b) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
(*.f64 (tan.f64 b) r) |
(tan.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
#s(approx (+ a b) b) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.f64 a b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b) |
(fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(tan.f64 a) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b)))) |
#s(approx r #s(hole binary64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b))))) |
#s(approx (* (tan b) r) #s(hole binary64 (/ (* r (sin b)) (cos b)))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI)))))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a)))) |
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (cos b))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))))) |
#s(approx (cos a) #s(hole binary64 1)) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))) |
#s(approx (+ a b) #s(hole binary64 b)) |
#s(approx (+ a b) #s(hole binary64 (+ a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (+ b (* 1/2 (PI)))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI)))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI))))))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI))))))))))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (+ b (* 1/2 (PI))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (+ a (+ b (* 1/2 (PI)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b r))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* 1/3 (* b r)) (* -1/2 (* b r))))))) (* (pow b 2) r))) (* b r)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* -1/2 r))) (* b r)))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r)))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* 1/3 (pow a 2)))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b)))) |
#s(approx (cos a) #s(hole binary64 (cos a))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b)))) |
#s(approx (sin a) #s(hole binary64 (sin a))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b)))) |
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI))))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
#s(approx (tan a) #s(hole binary64 (/ (sin a) (cos a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))))) |
#s(approx (* (tan b) r) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r)))))) |
#s(approx (* (tan b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r))))))) |
#s(approx (* (tan b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r))))))))) |
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2)))))) |
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2)))))))) |
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2)))))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI))))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (+ a (* 1/2 (PI)))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI)))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI))))))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI))))))))))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (+ a (* 1/2 (PI))))) |
#s(approx (sin b) #s(hole binary64 (sin b))) |
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b)))) |
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | r | @ | inf | ((/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* r (sin b)) r (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (tan b) r) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (sin (+ (* (PI) 1/2) (+ a b))) (+ (* (PI) 1/2) (+ a b)) (PI) 1/2 (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (* (/ r (cos a)) b) (/ r (cos a)) (tan a)) |
| 13.0ms | a | @ | -inf | ((/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* r (sin b)) r (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (tan b) r) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (sin (+ (* (PI) 1/2) (+ a b))) (+ (* (PI) 1/2) (+ a b)) (PI) 1/2 (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (* (/ r (cos a)) b) (/ r (cos a)) (tan a)) |
| 12.0ms | b | @ | 0 | ((/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* r (sin b)) r (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (tan b) r) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (sin (+ (* (PI) 1/2) (+ a b))) (+ (* (PI) 1/2) (+ a b)) (PI) 1/2 (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (* (/ r (cos a)) b) (/ r (cos a)) (tan a)) |
| 8.0ms | r | @ | 0 | ((/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* r (sin b)) r (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (tan b) r) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (sin (+ (* (PI) 1/2) (+ a b))) (+ (* (PI) 1/2) (+ a b)) (PI) 1/2 (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (* (/ r (cos a)) b) (/ r (cos a)) (tan a)) |
| 7.0ms | r | @ | -inf | ((/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* r (sin b)) r (sin b) b (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (tan b) r) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (sin (+ (* (PI) 1/2) (+ a b))) (+ (* (PI) 1/2) (+ a b)) (PI) 1/2 (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (* (/ r (cos a)) b) (/ r (cos a)) (tan a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 751 | 3904 |
| 0 | 792 | 3610 |
| 0 | 5335 | 3374 |
| 1 | 12418 | 3374 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
a |
(cos.f64 b) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
(*.f64 (tan.f64 b) r) |
(tan.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
#s(approx (+ a b) b) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.f64 a b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b) |
(fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(tan.f64 a) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b)))) |
#s(approx r #s(hole binary64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b))))) |
#s(approx (* (tan b) r) #s(hole binary64 (/ (* r (sin b)) (cos b)))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI)))))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a)))) |
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (cos b))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))))) |
#s(approx (cos a) #s(hole binary64 1)) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))) |
#s(approx (+ a b) #s(hole binary64 b)) |
#s(approx (+ a b) #s(hole binary64 (+ a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (+ b (* 1/2 (PI)))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI)))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI))))))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI))))))))))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (+ b (* 1/2 (PI))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (+ a (+ b (* 1/2 (PI)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b r))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* 1/3 (* b r)) (* -1/2 (* b r))))))) (* (pow b 2) r))) (* b r)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* -1/2 r))) (* b r)))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r)))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* 1/3 (pow a 2)))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b)))) |
#s(approx (cos a) #s(hole binary64 (cos a))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b)))) |
#s(approx (sin a) #s(hole binary64 (sin a))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b)))) |
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI))))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
#s(approx (tan a) #s(hole binary64 (/ (sin a) (cos a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r)))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))) |
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))))) |
#s(approx (* (tan b) r) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r)))))) |
#s(approx (* (tan b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r))))))) |
#s(approx (* (tan b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r))))))))) |
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2)))))) |
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2)))))))) |
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2)))))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI))))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (+ a (* 1/2 (PI)))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI)))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI))))))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI))))))))))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (+ a (* 1/2 (PI))))) |
#s(approx (sin b) #s(hole binary64 (sin b))) |
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b)))) |
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b))))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (fabs.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) |
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 a)) |
(cos.f64 (fabs.f64 a)) |
(cos.f64 a) |
a |
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (fabs.f64 b)) |
(cos.f64 (neg.f64 b)) |
(cos.f64 b) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
(*.f64 (tan.f64 b) r) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 r (tan.f64 b)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 b))) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(tan.f64 (+.f64 b (PI.f64))) |
(tan.f64 b) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 #s(approx (+ a b) b))) |
(cos.f64 (fabs.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
#s(approx (+ a b) b) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))) |
(fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (+.f64 a b)))) |
(fma.f64 (sin.f64 a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (cos.f64 a) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (sin.f64 a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (*.f64 (cos.f64 a) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (+.f64 a b))) |
(-.f64 a (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) |
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) |
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 a b)) |
(+.f64 (+.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+.f64 a (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(neg.f64 (-.f64 (neg.f64 b) a)) |
(-.f64 a (neg.f64 b)) |
(+.f64 a (*.f64 #s(literal 1 binary64) b)) |
(+.f64 a (neg.f64 (neg.f64 b))) |
(+.f64 a b) |
(+.f64 b a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a))) b) |
(*.f64 b (fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a)))) |
(fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a))) |
(fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) |
(fma.f64 (/.f64 r (cos.f64 a)) (*.f64 b (tan.f64 a)) (/.f64 r (cos.f64 a))) |
(fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(-.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) (neg.f64 (/.f64 r (cos.f64 a)))) |
(+.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 r (cos.f64 a))) |
(+.f64 (/.f64 r (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(/.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a))) |
(/.f64 r (cos.f64 a)) |
(*.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 (neg.f64 (sin.f64 a)) (neg.f64 (cos.f64 a))) |
(/.f64 (sin.f64 a) (cos.f64 a)) |
(tan.f64 (+.f64 a (PI.f64))) |
(tan.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r)) |
#s(approx r r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (* (tan b) r) (*.f64 (tan.f64 b) r)) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (*.f64 b r) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r)) |
#s(approx (* (/ r (cos a)) b) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (neg.f64 (*.f64 (*.f64 b r) (neg.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (neg.f64 (*.f64 (neg.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r))) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))) |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))) |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b))) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) (sin.f64 b))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a)) |
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) a) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) a)) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))))) a) (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (fma.f64 a (fma.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (fma.f64 (fma.f64 a (fma.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a) #s(literal -1/6 binary64) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) |
#s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r)) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b r) #s(literal 5/6 binary64)) b) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b r) #s(literal 5/6 binary64)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 b r)) a r)) |
#s(approx (* (/ r (cos a)) b) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b r) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b r) (fma.f64 #s(literal 1/48 binary64) (*.f64 b r) (*.f64 (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 a a))) (*.f64 (*.f64 b r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) (*.f64 a a) (*.f64 b r))) |
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) |
#s(approx (/ r (cos a)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 r #s(literal -5/24 binary64)) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) r)) |
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) r (fma.f64 (*.f64 r #s(literal -5/24 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) r))) (*.f64 a a))) (*.f64 r #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) |
#s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b))) |
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (cos a) (cos.f64 a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (sin a) (sin.f64 a)) |
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a) #s(literal 1 binary64)) a)) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
#s(approx (tan a) (tan.f64 a)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a))))) |
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (neg.f64 a)))) |
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (neg.f64 a))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (neg.f64 a)))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) #s(literal 1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))) |
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a))) |
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b)) |
#s(approx (* (tan b) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)) |
#s(approx (* (tan b) r) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)) |
#s(approx (* (tan b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b)) |
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (*.f64 (+.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) r) b) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) b)) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) b) (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b)) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/6 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (*.f64 (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) b))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) b) (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b)) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) b (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (fma.f64 b (fma.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) b) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (fma.f64 (fma.f64 b (fma.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) b) #s(literal -1/6 binary64) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) b (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) |
#s(approx (sin b) (sin.f64 b)) |
#s(approx (tan b) (tan.f64 b)) |
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (PI) 1/2) (+ a b)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) #s(literal 1 binary64)) b)) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) (*.f64 b b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (*.f64 (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) (neg.f64 b))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ a b))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) (neg.f64 b)))) |
#s(approx (+ (* (PI) 1/2) (+ a b)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 r (*.f64 (cos.f64 a) b))) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
Compiled 2 975 to 1 138 computations (61.7% saved)
38 alts after pruning (36 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 22 | 241 |
| Fresh | 4 | 14 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 226 | 38 | 264 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| ▶ | 62.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 60.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (cos.f64 a) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) | |
| 60.8% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (sin.f64 b)))) | |
| 67.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)))) | |
| 58.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 58.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 63.0% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 42.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 43.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) | |
| 42.9% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| 37.1% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) #s(literal 1 binary64)) b)))) | |
| 65.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) | |
| 59.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 58.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) | |
| 60.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 56.7% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) | |
| 56.0% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) | |
| 56.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) | |
| 43.3% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) | |
| 62.0% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) | |
| 78.9% | (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) | |
| ▶ | 78.9% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
| 43.3% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) | |
| 39.5% | #s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) (tan.f64 a)))) b (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) b (/.f64 r (cos.f64 a))) b)) | |
| ✓ | 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
| 38.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (tan.f64 a) (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) b)) | |
| ▶ | 56.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) b)) |
| 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| ✓ | 62.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
| 38.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) | |
| 38.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))) | |
| ▶ | 39.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
Compiled 1 188 to 1 090 computations (8.2% saved)
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
a |
(cos.f64 b) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
#s(approx (+ a b) b) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) b)) |
(*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) b) |
(fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
(*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(tan.f64 a) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
| Outputs |
|---|
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b)))) |
#s(approx r #s(hole binary64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))) |
#s(approx (* b r) #s(hole binary64 (* b r))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (/ r (cos (+ a b))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a)))) |
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (cos b)))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (cos b))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))))) |
#s(approx (cos a) #s(hole binary64 1)) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* 1/3 (* b r)) (* -1/2 (* b r))))))) (* (pow b 2) r))) (* b r)))) |
#s(approx (+ a b) #s(hole binary64 b)) |
#s(approx (+ a b) #s(hole binary64 (+ a b))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (/ r (cos b)))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos b)))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (+ r (* a (* b r))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r)))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* -1/2 r))) (* b r)))))) |
#s(approx (/ 1 (cos a)) #s(hole binary64 (+ 1 (* 1/2 (pow a 2))))) |
#s(approx (/ 1 (cos a)) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2))))))) |
#s(approx (/ 1 (cos a)) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2))))))))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (* a (* b r)))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (* a (+ (* b r) (* (pow a 2) (- (* 1/3 (* b r)) (* -1/2 (* b r)))))))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (* a (+ (* b r) (* (pow a 2) (- (+ (* 1/3 (* b r)) (* (pow a 2) (- (* 2/15 (* b r)) (+ (* -1/2 (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r)))))))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (* a (+ (* b r) (* (pow a 2) (- (+ (* 1/3 (* b r)) (* (pow a 2) (- (+ (* 2/15 (* b r)) (* (pow a 2) (- (* 17/315 (* b r)) (+ (* -1/2 (- (* 2/15 (* b r)) (+ (* -1/2 (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r))))) (+ (* -1/720 (* b r)) (* 1/24 (- (* 1/3 (* b r)) (* -1/2 (* b r))))))))) (+ (* -1/2 (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r)))))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* 1/3 (pow a 2)))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r)))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b)))) |
#s(approx (cos a) #s(hole binary64 (cos a))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b)))) |
#s(approx (sin a) #s(hole binary64 (sin a))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b)))) |
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos (+ a b))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
#s(approx (/ 1 (cos a)) #s(hole binary64 (/ 1 (cos a)))) |
#s(approx (tan a) #s(hole binary64 (/ (sin a) (cos a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (/ r (cos (- b (* -1 a)))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos (- b (* -1 a)))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))) |
#s(approx (sin b) #s(hole binary64 (sin b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (/ r (cos (- a (* -1 b)))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos (- a (* -1 b)))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | r | @ | inf | ((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) b r (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (* b r) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (sin b) (* r (/ 1 (cos (+ a b))))) (* r (/ 1 (cos (+ a b)))) (/ 1 (cos (+ a b))) 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) b) (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (/ 1 (cos a)) (* (tan a) (* (/ r (cos a)) b)) (tan a) (* (/ r (cos a)) b) (/ r (cos a))) |
| 7.0ms | a | @ | -inf | ((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) b r (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (* b r) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (sin b) (* r (/ 1 (cos (+ a b))))) (* r (/ 1 (cos (+ a b)))) (/ 1 (cos (+ a b))) 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) b) (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (/ 1 (cos a)) (* (tan a) (* (/ r (cos a)) b)) (tan a) (* (/ r (cos a)) b) (/ r (cos a))) |
| 6.0ms | r | @ | -inf | ((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) b r (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (* b r) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (sin b) (* r (/ 1 (cos (+ a b))))) (* r (/ 1 (cos (+ a b)))) (/ 1 (cos (+ a b))) 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) b) (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (/ 1 (cos a)) (* (tan a) (* (/ r (cos a)) b)) (tan a) (* (/ r (cos a)) b) (/ r (cos a))) |
| 5.0ms | b | @ | -inf | ((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) b r (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (* b r) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (sin b) (* r (/ 1 (cos (+ a b))))) (* r (/ 1 (cos (+ a b)))) (/ 1 (cos (+ a b))) 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) b) (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (/ 1 (cos a)) (* (tan a) (* (/ r (cos a)) b)) (tan a) (* (/ r (cos a)) b) (/ r (cos a))) |
| 5.0ms | a | @ | inf | ((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) b r (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) a (cos b) (* (sin a) (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (* b r) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (sin b) (* r (/ 1 (cos (+ a b))))) (* r (/ 1 (cos (+ a b)))) (/ 1 (cos (+ a b))) 1 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) b) (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (/ 1 (cos a)) (* (tan a) (* (/ r (cos a)) b)) (tan a) (* (/ r (cos a)) b) (/ r (cos a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 716 | 3717 |
| 0 | 763 | 3349 |
| 1 | 5108 | 3234 |
| 0 | 8849 | 3059 |
| 1 | 18881 | 3059 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
a |
(cos.f64 b) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
#s(approx (+ a b) b) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) b)) |
(*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) b) |
(fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
(*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(tan.f64 a) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b)))) |
#s(approx r #s(hole binary64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))) |
#s(approx (* b r) #s(hole binary64 (* b r))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (/ r (cos (+ a b))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a)))) |
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (cos b)))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (cos b))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))))) |
#s(approx (cos a) #s(hole binary64 1)) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* 1/3 (* b r)) (* -1/2 (* b r))))))) (* (pow b 2) r))) (* b r)))) |
#s(approx (+ a b) #s(hole binary64 b)) |
#s(approx (+ a b) #s(hole binary64 (+ a b))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (/ r (cos b)))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos b)))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (+ r (* a (* b r))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r)))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* -1/2 r))) (* b r)))))) |
#s(approx (/ 1 (cos a)) #s(hole binary64 (+ 1 (* 1/2 (pow a 2))))) |
#s(approx (/ 1 (cos a)) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2))))))) |
#s(approx (/ 1 (cos a)) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2))))))))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (* a (* b r)))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (* a (+ (* b r) (* (pow a 2) (- (* 1/3 (* b r)) (* -1/2 (* b r)))))))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (* a (+ (* b r) (* (pow a 2) (- (+ (* 1/3 (* b r)) (* (pow a 2) (- (* 2/15 (* b r)) (+ (* -1/2 (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r)))))))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) #s(hole binary64 (* a (+ (* b r) (* (pow a 2) (- (+ (* 1/3 (* b r)) (* (pow a 2) (- (+ (* 2/15 (* b r)) (* (pow a 2) (- (* 17/315 (* b r)) (+ (* -1/2 (- (* 2/15 (* b r)) (+ (* -1/2 (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r))))) (+ (* -1/720 (* b r)) (* 1/24 (- (* 1/3 (* b r)) (* -1/2 (* b r))))))))) (+ (* -1/2 (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r)))))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* 1/3 (pow a 2)))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))))) |
#s(approx (tan a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r)))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))))) |
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))))) |
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b)))) |
#s(approx (cos a) #s(hole binary64 (cos a))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b)))) |
#s(approx (sin a) #s(hole binary64 (sin a))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b)))) |
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos (+ a b))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
#s(approx (/ 1 (cos a)) #s(hole binary64 (/ 1 (cos a)))) |
#s(approx (tan a) #s(hole binary64 (/ (sin a) (cos a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (/ r (cos (- b (* -1 a)))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos (- b (* -1 a)))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))))) |
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))) |
#s(approx (sin b) #s(hole binary64 (sin b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1))))) |
#s(approx (* r (/ 1 (cos (+ a b)))) #s(hole binary64 (/ r (cos (- a (* -1 b)))))) |
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos (- a (* -1 b)))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
b |
r |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 (neg.f64 b))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b)))) |
(cos.f64 (neg.f64 (fabs.f64 (+.f64 a b)))) |
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (fabs.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) a)) (cos.f64 (-.f64 (fabs.f64 b) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 b (fabs.f64 a))) (cos.f64 (-.f64 b (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) b)) (cos.f64 (-.f64 (fabs.f64 a) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (fabs.f64 b))) (cos.f64 (-.f64 a (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) |
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))) |
(sin.f64 (+.f64 (fabs.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (fabs.f64 a))) |
(cos.f64 (fabs.f64 (fabs.f64 a))) |
(cos.f64 (neg.f64 (neg.f64 a))) |
(cos.f64 (fabs.f64 a)) |
(cos.f64 (neg.f64 a)) |
(cos.f64 a) |
(+.f64 (*.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
a |
(sin.f64 (+.f64 (fabs.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (fabs.f64 b))) |
(cos.f64 (fabs.f64 (fabs.f64 b))) |
(cos.f64 (neg.f64 (neg.f64 b))) |
(cos.f64 (fabs.f64 b)) |
(cos.f64 (neg.f64 b)) |
(cos.f64 b) |
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) |
(sin.f64 a) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 r b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 r b)) |
(*.f64 r b) |
(*.f64 b r) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 #s(approx (+ a b) b))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 #s(approx (+ a b) b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (+ a b) b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) b)))) |
(cos.f64 (neg.f64 (fabs.f64 #s(approx (+ a b) b)))) |
(cos.f64 (fabs.f64 (fabs.f64 #s(approx (+ a b) b)))) |
(cos.f64 (neg.f64 #s(approx (+ a b) b))) |
(cos.f64 (fabs.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 #s(approx (+ a b) b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (+ a b) b) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) r) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 (neg.f64 b))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b)))) |
(cos.f64 (neg.f64 (fabs.f64 (+.f64 a b)))) |
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (fabs.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(neg.f64 (-.f64 (neg.f64 b) a)) |
(-.f64 a (neg.f64 b)) |
(+.f64 a (*.f64 #s(literal 1 binary64) b)) |
(+.f64 a (neg.f64 (neg.f64 b))) |
(+.f64 a b) |
(+.f64 b a) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a))) b) |
(*.f64 b (fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a)))) |
(fma.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)))) |
(fma.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) b)) |
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 b (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)))) |
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) b)) |
(fma.f64 b (/.f64 r (cos.f64 a)) (*.f64 b (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)))) |
(fma.f64 b (/.f64 r (cos.f64 a)) (*.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) b)) |
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 b (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)))) |
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) b)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)) (cos.f64 a) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 r #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)) (neg.f64 (cos.f64 a)) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (neg.f64 r))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (neg.f64 (cos.f64 a)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)) (cos.f64 a) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) r)) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 a))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 r #s(literal 1 binary64)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (neg.f64 (cos.f64 a)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 r))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (cos.f64 a)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)))) (*.f64 (cos.f64 a) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(/.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (cos.f64 a) (*.f64 (*.f64 (sin.f64 a) r) b))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 r) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)))) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(/.f64 (fma.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (cos.f64 a)) (*.f64 (*.f64 (sin.f64 a) r) b))) (*.f64 (neg.f64 (cos.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) |
(/.f64 (fma.f64 r (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)))) (*.f64 (cos.f64 a) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(/.f64 (neg.f64 (fma.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (cos.f64 a) (*.f64 (*.f64 (sin.f64 a) r) b)))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (cos.f64 a) (*.f64 (*.f64 (sin.f64 a) r) b))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) |
(fma.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) r) (cos.f64 a)) (/.f64 r (cos.f64 a))) |
(fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (cos.f64 a)) (/.f64 b (cos.f64 a)) (/.f64 r (cos.f64 a))) |
(fma.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))) b (/.f64 r (cos.f64 a))) |
(fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a))) |
(fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) |
(fma.f64 (/.f64 r (cos.f64 a)) (*.f64 b (tan.f64 a)) (/.f64 r (cos.f64 a))) |
(fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(fma.f64 b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))) (/.f64 r (cos.f64 a))) |
(-.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) (neg.f64 (/.f64 r (cos.f64 a)))) |
(-.f64 (/.f64 r (cos.f64 a)) (*.f64 (neg.f64 (tan.f64 a)) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(-.f64 (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)))) |
(+.f64 (/.f64 (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 (cos.f64 a) (*.f64 (*.f64 (sin.f64 a) r) b)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 r (cos.f64 a))) |
(+.f64 (/.f64 r (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(pow.f64 (cos.f64 a) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
(*.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) r) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 a) r) (cos.f64 a)) (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))) b) |
(*.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) |
(*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a)) |
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (tan.f64 a))) |
(*.f64 b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 r b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 a)) (*.f64 r b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 a) (neg.f64 (*.f64 r b))) (*.f64 (cos.f64 a) (neg.f64 (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 a) (*.f64 r b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 r b)) (neg.f64 (sin.f64 a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 r b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 a))) |
(/.f64 (*.f64 (*.f64 r b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 a) (neg.f64 (cos.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) |
(*.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 a))) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 (neg.f64 (sin.f64 a)) (neg.f64 (cos.f64 a))) |
(/.f64 (sin.f64 a) (cos.f64 a)) |
(tan.f64 (+.f64 (+.f64 a (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 a (PI.f64))) |
(tan.f64 a) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r b))) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 (neg.f64 (*.f64 r b)) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 a))) |
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 a)) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a))) |
(/.f64 r (cos.f64 a)) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r)) |
#s(approx r r) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (*.f64 r b) (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (* b r) (*.f64 r b)) |
#s(approx (* r (/ 1 (cos (+ a b)))) (/.f64 r (cos.f64 (+.f64 a b)))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r)) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) |
#s(approx (* (/ r (cos a)) b) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (neg.f64 (*.f64 (*.f64 r b) (neg.f64 (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) r))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 r (tan.f64 b))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b)))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 r (tan.f64 b)))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 r (tan.f64 b)))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b))) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) (sin.f64 b))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a)) |
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 r b) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 r b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) b) a (*.f64 #s(literal 1/2 binary64) (*.f64 r b))) a (*.f64 (*.f64 b b) r)) a (*.f64 r b))) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx (* r (/ 1 (cos (+ a b)))) (/.f64 r (cos.f64 b))) |
#s(approx (* r (/ 1 (cos (+ a b)))) (fma.f64 a (*.f64 (tan.f64 b) (/.f64 r (cos.f64 b))) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ 1 (cos (+ a b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) (neg.f64 (*.f64 (tan.f64 b) (/.f64 r (cos.f64 b))))) a (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ 1 (cos (+ a b)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) r))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (sin.f64 b)) (cos.f64 b))) a)) (fma.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (neg.f64 (*.f64 (tan.f64 b) (/.f64 r (cos.f64 b))))) a (/.f64 r (cos.f64 b)))) |
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (/.f64 a (cos.f64 b)) (tan.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) a) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 b)) (tan.f64 b))) a (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (sin.f64 b)) (cos.f64 b)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 b)) (tan.f64 b))) a (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (fma.f64 (*.f64 r b) a r)) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 r b)) a r)) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 r b)) a r)) |
#s(approx (/ 1 (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (/ 1 (cos a)) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (/ 1 (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 a a) #s(literal 5/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (*.f64 r b) a)) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) (*.f64 a a) (*.f64 r b)) a)) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) b) r (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 r b)) (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 r b)))) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) (*.f64 r b))) (*.f64 a a) (*.f64 r b)) a)) |
#s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) b) r (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) b) r (*.f64 (-.f64 (*.f64 #s(literal 17/315 binary64) (*.f64 r b)) (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 r b)) (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 r b)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 r b))))) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 r b)))) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) (*.f64 r b))) (*.f64 a a) (*.f64 r b)) a)) |
#s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (* (/ r (cos a)) b) (fma.f64 (*.f64 (*.f64 (*.f64 a a) b) r) #s(literal 1/2 binary64) (*.f64 r b))) |
#s(approx (* (/ r (cos a)) b) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -5/24 binary64)) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) (*.f64 r b))) (*.f64 a a) (*.f64 r b))) |
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 r b) (fma.f64 #s(literal 1/48 binary64) (*.f64 r b) (*.f64 (*.f64 (*.f64 r b) #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 a a))) (*.f64 (*.f64 r b) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 r b))) (*.f64 a a) (*.f64 r b))) |
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) |
#s(approx (/ r (cos a)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 r #s(literal -5/24 binary64)) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) r)) |
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) r (fma.f64 (*.f64 r #s(literal -5/24 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) r))) (*.f64 a a))) (*.f64 r #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 (+.f64 a b))) |
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (cos a) (cos.f64 a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (sin a) (sin.f64 a)) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a))) b)) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) |
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (fma.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) (/.f64 r (cos.f64 a)))) |
#s(approx (/ 1 (cos a)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
#s(approx (tan a) (tan.f64 a)) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 a) b)))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 (-.f64 (neg.f64 a) b))) |
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))) |
#s(approx (* r (/ 1 (cos (+ a b)))) (/.f64 r (cos.f64 (-.f64 (neg.f64 a) b)))) |
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (neg.f64 a) b)))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) r) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 a))) b) (neg.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) |
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) |
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a))) |
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a))) |
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b)) |
#s(approx (* r (/ 1 (cos (+ a b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (neg.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))))) b (/.f64 r (cos.f64 a)))) |
#s(approx (* r (/ 1 (cos (+ a b)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))) #s(literal -1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) (sin.f64 a)) (cos.f64 a))) b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))))) b (/.f64 r (cos.f64 a)))) |
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) b) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) (tan.f64 a))) b (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) (tan.f64 a))) b (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (sin b) (sin.f64 b)) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (*.f64 b b) (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (fma.f64 (tan.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b))) |
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (*.f64 (fma.f64 (tan.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r (*.f64 (cos.f64 a) b))) b)) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))) |
#s(approx (* r (/ 1 (cos (+ a b)))) (/.f64 r (cos.f64 (+.f64 a b)))) |
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
#s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 r (*.f64 (cos.f64 a) b))) (neg.f64 (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a))))))) |
Compiled 4 290 to 1 812 computations (57.8% saved)
42 alts after pruning (37 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 327 | 17 | 344 |
| Fresh | 11 | 20 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 340 | 42 | 382 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 60.8% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (sin.f64 b)))) | |
| 67.2% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)))) | |
| 58.9% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 58.9% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| ▶ | 63.0% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| ▶ | 42.8% | (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
| ✓ | 62.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
| 56.7% | (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 60.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (cos.f64 a) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) | |
| 42.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 43.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) | |
| 42.9% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| 65.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) | |
| 59.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 58.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) | |
| 60.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 56.0% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) | |
| 56.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 78.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) | |
| 43.3% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) | |
| 62.0% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) | |
| ▶ | 62.0% | (*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
| ▶ | 99.5% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
| 62.0% | (*.f64 (sin.f64 b) (*.f64 r #s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 b))))) | |
| 56.0% | (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) | |
| 43.3% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) | |
| 39.5% | #s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| ✓ | 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
| 38.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (tan.f64 a) (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) b)) | |
| 46.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (*.f64 r b) a))) b)) | |
| 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (neg.f64 (cos.f64 a)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 r))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (cos.f64 a)))) b)) | |
| 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| ✓ | 62.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
| ▶ | 38.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
| 56.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r)) b)) | |
| 38.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) | |
| ✓ | 39.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
Compiled 1 234 to 1 161 computations (5.9% saved)
| Inputs |
|---|
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(sin.f64 b) |
b |
(*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
r |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
#s(literal -1 binary64) |
(-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) |
(fma.f64 (*.f64 b r) a r) |
(*.f64 b r) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 r (cos.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
#s(approx (+ a b) b) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(neg.f64 #s(approx (+ a b) b)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (* -1 (/ (* r (sin b)) (- (* (sin a) (sin b)) (* (cos a) (cos b))))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (* -1 (/ r (- (* (sin a) (sin b)) (* (cos a) (cos b))))))) |
#s(approx r #s(hole binary64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* r (+ 1 (* a b))))) |
#s(approx (* b r) #s(hole binary64 (* b r))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (+ a b))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b)))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* r (- (* -1 (* a b)) 1))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (/ (* r (sin b)) (cos b)))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (/ (* r (sin b)) (cos b))) (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (/ (* r (sin b)) (cos b))) (+ (* a (+ (* -1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ (* r (sin b)) (cos b))) (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (cos b))))) (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (/ r (cos b)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (/ r (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 3)))) (/ (* r (sin b)) (pow (cos b) 2)))) (/ r (cos b))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (/ r (cos b))) (+ (* a (+ (* -1/6 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/2 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ r (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 3)))) (cos b))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 3))))) (/ (* r (sin b)) (pow (cos b) 2)))) (/ r (cos b))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (/ 1 (cos b)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* -1 (cos b)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* a (sin b)) (cos b)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* a (+ (sin b) (* 1/2 (* a (cos b))))) (cos b)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* a (+ (sin b) (* a (- (* -1/6 (* a (sin b))) (* -1/2 (cos b)))))) (cos b)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))))) |
#s(approx (sin a) #s(hole binary64 a)) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))))) |
#s(approx (cos a) #s(hole binary64 1)) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* 1/3 (* b r)) (* -1/2 (* b r))))))) (* (pow b 2) r))) (* b r)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* -1/2 r))) (* b r)))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))))) |
#s(approx (+ a b) #s(hole binary64 b)) |
#s(approx (+ a b) #s(hole binary64 (+ a b))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b))))))))))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b))) |
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (/ -1 (- (* (sin a) (sin b)) (* (cos a) (cos b)))))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* (sin a) (sin b)) (* (cos a) (cos b))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b)))) |
#s(approx (sin a) #s(hole binary64 (sin a))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b)))) |
#s(approx (cos a) #s(hole binary64 (cos a))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (* b r)))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (+ (* b r) (/ r a))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b)))) |
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b))))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a)))))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1)))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a)))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a))))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- b (* -1 a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a))))))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a)))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (/ (* b r) (cos a)))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (* b (+ (* b (+ (* -1 (* b (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/2 (/ (* r (sin a)) (pow (cos a) 2)))))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (/ r (cos a)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (* b (+ (* b (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (* b (+ (* b (+ (* 1/2 (/ r (cos a))) (+ (* b (+ (* -1/6 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/2 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (cos a))))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (/ 1 (cos a)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* -1 (cos a)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* b (sin a)) (cos a)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* b (+ (sin a) (* 1/2 (* b (cos a))))) (cos a)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* b (+ (sin a) (* b (- (* -1/6 (* b (sin a))) (* -1/2 (cos a)))))) (cos a)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a))) |
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a))) |
#s(approx (sin b) #s(hole binary64 (sin b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* b (+ (* a r) (/ r b))))) |
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b))))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b)))))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b))))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- a (* -1 b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b))))))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | b | @ | -inf | ((* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) (sin b) b (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))) (* (sin a) (sin b)) (sin a) a (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (/ (PI) 2) (PI) 2 (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) 1) |
| 10.0ms | b | @ | 0 | ((* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) (sin b) b (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))) (* (sin a) (sin b)) (sin a) a (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (/ (PI) 2) (PI) 2 (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) 1) |
| 9.0ms | r | @ | 0 | ((* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) (sin b) b (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))) (* (sin a) (sin b)) (sin a) a (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (/ (PI) 2) (PI) 2 (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) 1) |
| 8.0ms | r | @ | -inf | ((* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) (sin b) b (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))) (* (sin a) (sin b)) (sin a) a (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (/ (PI) 2) (PI) 2 (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) 1) |
| 8.0ms | a | @ | 0 | ((* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) (sin b) b (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))) (* (sin a) (sin b)) (sin a) a (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (/ (PI) 2) (PI) 2 (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (cos a) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 938 | 5669 |
| 0 | 981 | 4932 |
| 1 | 6874 | 4649 |
| 0 | 8311 | 4429 |
| 1 | 19393 | 4429 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(sin.f64 b) |
b |
(*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
r |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
#s(literal -1 binary64) |
(-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) |
(fma.f64 (*.f64 b r) a r) |
(*.f64 b r) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 r (cos.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
#s(approx (+ a b) b) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(neg.f64 #s(approx (+ a b) b)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (* -1 (/ (* r (sin b)) (- (* (sin a) (sin b)) (* (cos a) (cos b))))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (* -1 (/ r (- (* (sin a) (sin b)) (* (cos a) (cos b))))))) |
#s(approx r #s(hole binary64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* r (+ 1 (* a b))))) |
#s(approx (* b r) #s(hole binary64 (* b r))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (+ a b))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b)))) |
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* r (- (* -1 (* a b)) 1))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (/ (* r (sin b)) (cos b)))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (/ (* r (sin b)) (cos b))) (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (/ (* r (sin b)) (cos b))) (+ (* a (+ (* -1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ (* r (sin b)) (cos b))) (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (cos b))))) (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (/ r (cos b)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (/ r (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 3)))) (/ (* r (sin b)) (pow (cos b) 2)))) (/ r (cos b))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (/ r (cos b))) (+ (* a (+ (* -1/6 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/2 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ r (cos b))) (/ (* r (pow (sin b) 2)) (pow (cos b) 3)))) (cos b))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 3))))) (/ (* r (sin b)) (pow (cos b) 2)))) (/ r (cos b))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (/ 1 (cos b)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* -1 (cos b)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* a (sin b)) (cos b)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* a (+ (sin b) (* 1/2 (* a (cos b))))) (cos b)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* a (+ (sin b) (* a (- (* -1/6 (* a (sin b))) (* -1/2 (cos b)))))) (cos b)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))))) |
#s(approx (sin a) #s(hole binary64 a)) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))) |
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))))) |
#s(approx (cos a) #s(hole binary64 1)) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))))) |
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* 1/3 (* b r)) (* -1/2 (* b r))))))) (* (pow b 2) r))) (* b r)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* 1/3 (* b r)) (* -1/2 (* b r)))) (* -1/2 r))) (* b r)))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))))) |
#s(approx (+ a b) #s(hole binary64 b)) |
#s(approx (+ a b) #s(hole binary64 (+ a b))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b))))))))))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b))) |
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (/ -1 (- (* (sin a) (sin b)) (* (cos a) (cos b)))))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* (sin a) (sin b)) (* (cos a) (cos b))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b)))) |
#s(approx (sin a) #s(hole binary64 (sin a))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b)))) |
#s(approx (cos a) #s(hole binary64 (cos a))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (* b r)))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (+ (* b r) (/ r a))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b)))) |
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b))))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a)))))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1)))) |
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a)))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a))))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- b (* -1 a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a))))))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a)))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (/ (* b r) (cos a)))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (* b (+ (* b (+ (* -1 (* b (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))))) |
#s(approx (* (sin b) (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/2 (/ (* r (sin a)) (pow (cos a) 2)))))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (/ r (cos a)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (* b (+ (* b (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) #s(hole binary64 (+ (* b (+ (* b (+ (* 1/2 (/ r (cos a))) (+ (* b (+ (* -1/6 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/2 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (cos a))))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (/ 1 (cos a)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* -1 (cos a)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* b (sin a)) (cos a)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* b (+ (sin a) (* 1/2 (* b (cos a))))) (cos a)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (- (* b (+ (sin a) (* b (- (* -1/6 (* b (sin a))) (* -1/2 (cos a)))))) (cos a)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a)))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))))) |
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))))) |
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))))) |
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r)))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))) |
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a))) |
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a))) |
#s(approx (sin b) #s(hole binary64 (sin b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* b (+ (* a r) (/ r b))))) |
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b))))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b)))))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))))) |
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b))))))) |
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- a (* -1 b)))))) |
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b))))) |
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b))))))) |
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) r) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
r |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
#s(literal -1 binary64) |
(neg.f64 (cos.f64 (+.f64 a b))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(sin.f64 (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))) |
(sin.f64 (+.f64 (+.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (PI.f64))) |
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (sin.f64 b) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) |
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) |
(-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos.f64 (+.f64 (fabs.f64 (+.f64 a b)) (PI.f64))) |
(cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 a b) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) |
(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) a)) (cos.f64 (-.f64 (fabs.f64 b) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 b (fabs.f64 a))) (cos.f64 (-.f64 b (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) b)) (cos.f64 (-.f64 (fabs.f64 a) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (fabs.f64 b))) (cos.f64 (-.f64 a (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (+.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (+.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (neg.f64 b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (fabs.f64 b))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fabs.f64 a))) (sin.f64 (+.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (sin.f64 (+.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fabs.f64 b))) (sin.f64 (+.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fabs.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (sin.f64 (+.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (neg.f64 a))) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (fabs.f64 a))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (fabs.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) |
(sin.f64 (+.f64 (fabs.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 b) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b)))) |
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 b) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 b) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (sin.f64 b))) |
(cos.f64 (fabs.f64 (neg.f64 b))) |
(cos.f64 (fabs.f64 (fabs.f64 b))) |
(cos.f64 (neg.f64 b)) |
(cos.f64 (fabs.f64 b)) |
(cos.f64 b) |
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b)))) |
(sin.f64 (+.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) |
(fma.f64 (neg.f64 (sin.f64 a)) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 a)))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 a) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 a) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 #s(literal 0 binary64) (sin.f64 a))) |
(cos.f64 (fabs.f64 (neg.f64 a))) |
(cos.f64 (fabs.f64 (fabs.f64 a))) |
(cos.f64 (neg.f64 a)) |
(cos.f64 (fabs.f64 a)) |
(cos.f64 a) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 a)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 r b) a r)) b)) |
(*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 r b) a r)) b) |
(*.f64 b #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 r b) a r))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 r b) a r)) |
(fma.f64 (*.f64 a b) r r) |
(fma.f64 (*.f64 r b) a r) |
(fma.f64 a (*.f64 r b) r) |
(fma.f64 b (*.f64 a r) r) |
(-.f64 (*.f64 (*.f64 a b) r) (neg.f64 r)) |
(-.f64 r (*.f64 (neg.f64 a) (*.f64 r b))) |
(-.f64 r (neg.f64 (*.f64 (*.f64 a b) r))) |
(+.f64 (*.f64 (*.f64 a b) r) r) |
(+.f64 r (*.f64 (*.f64 a b) r)) |
(*.f64 r b) |
(*.f64 b r) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) b))) (sin.f64 b)) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 r (cos.f64 #s(approx (+ a b) b))) |
(sin.f64 (+.f64 (fabs.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 #s(approx (+ a b) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 #s(approx (+ a b) b)))) |
(fma.f64 (sin.f64 #s(approx (+ a b) b)) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) b)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (neg.f64 #s(approx (+ a b) b))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) b)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 #s(approx (+ a b) b))))) |
(-.f64 (*.f64 (sin.f64 (neg.f64 #s(approx (+ a b) b))) (cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 #s(approx (+ a b) b)) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(cos.f64 (fabs.f64 (fabs.f64 #s(approx (+ a b) b)))) |
(cos.f64 (fabs.f64 (neg.f64 #s(approx (+ a b) b)))) |
(cos.f64 (fabs.f64 #s(approx (+ a b) b))) |
(cos.f64 (neg.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) b)) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 #s(approx (+ a b) b))))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 #s(approx (+ a b) b))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) b)) #s(literal 1 binary64))) |
#s(approx (+ a b) b) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) b))) (sin.f64 b)) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 (+.f64 (fabs.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 #s(approx (+ a b) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 #s(approx (+ a b) b)))) |
(fma.f64 (sin.f64 #s(approx (+ a b) b)) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) b)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (neg.f64 #s(approx (+ a b) b))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) b)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 #s(approx (+ a b) b))))) |
(-.f64 (*.f64 (sin.f64 (neg.f64 #s(approx (+ a b) b))) (cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 #s(approx (+ a b) b)) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(cos.f64 (fabs.f64 (fabs.f64 #s(approx (+ a b) b)))) |
(cos.f64 (fabs.f64 (neg.f64 #s(approx (+ a b) b)))) |
(cos.f64 (fabs.f64 #s(approx (+ a b) b))) |
(cos.f64 (neg.f64 #s(approx (+ a b) b))) |
(cos.f64 #s(approx (+ a b) b)) |
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) b)) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 #s(approx (+ a b) b))))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 #s(approx (+ a b) b))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) b)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 #s(approx (+ a b) b))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 #s(approx (+ a b) b))) |
(-.f64 (neg.f64 #s(approx (+ a b) b)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 #s(approx (+ a b) b))) |
(+.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(neg.f64 #s(approx (+ a b) b)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(+.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 a b))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))) |
#s(approx r r) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r)) |
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a b #s(literal 1 binary64)) r)) |
#s(approx (* b r) (*.f64 r b)) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (neg.f64 (*.f64 (*.f64 r b) (neg.f64 (fma.f64 b (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (neg.f64 (*.f64 (neg.f64 (fma.f64 b (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) r))) |
#s(approx (+ (* (* b r) a) r) (neg.f64 (*.f64 (neg.f64 (fma.f64 a b #s(literal 1 binary64))) r))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 r (tan.f64 b))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 r (tan.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) a (*.f64 r (tan.f64 b)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 r (tan.f64 b)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 (*.f64 r (tan.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b)))) a (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) a (*.f64 r (tan.f64 b)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 b))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 a (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) a (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b)))) a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) a (/.f64 r (cos.f64 b)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (fma.f64 a (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) a) (neg.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (neg.f64 (cos.f64 b))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (sin.f64 b) a) (cos.f64 b))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 b) a) #s(literal 1/2 binary64) (sin.f64 b)) a) (cos.f64 b))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (fma.f64 a (fma.f64 (*.f64 (sin.f64 b) a) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 b))) (sin.f64 b)) a) (cos.f64 b))) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (sin.f64 b) (sin.f64 b)) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) (sin.f64 b))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a)) |
#s(approx (sin a) a) |
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)) |
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (* (cos b) (cos a)) (cos.f64 b)) |
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b))) |
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b))) |
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b))) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b)))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 a b) r) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 r b))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) b) a (*.f64 #s(literal 1/2 binary64) (*.f64 r b))) a (*.f64 (*.f64 b b) r)) a (*.f64 r b))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 r b) a r)) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 r b)) a r)) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 r b)) a r)) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) r)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 r (cos.f64 b)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b))) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 r (tan.f64 b))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 r (tan.f64 b) (/.f64 (*.f64 (*.f64 a r) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 b)) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 b)) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 b)) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a) (neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 b)) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 b)) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 b))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (fma.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (cos.f64 b))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (cos.f64 b))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)) |
#s(approx (neg (+ a b)) (neg.f64 b)) |
#s(approx (neg (+ a b)) (-.f64 (neg.f64 b) a)) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (neg.f64 (cos.f64 (+.f64 a b)))) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (sin a) (sin.f64 a)) |
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (cos a) (cos.f64 a)) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b)) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a)))) |
#s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r)) |
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a)) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (+.f64 a b))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a)) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) a)) |
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) r (neg.f64 (/.f64 r a))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 (+.f64 a b)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (+.f64 a b))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)) #s(literal 1 binary64)))) |
#s(approx (neg (+ a b)) (*.f64 (neg.f64 a) (+.f64 (/.f64 b a) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (fma.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (cos.f64 a)))) b (neg.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 a))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) b (/.f64 r (cos.f64 a)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (sin.f64 a)) (cos.f64 a))) b (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) b (/.f64 r (cos.f64 a)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (fma.f64 b (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b) (neg.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (neg.f64 (cos.f64 a))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal 1/2 binary64) (sin.f64 a)) b) (cos.f64 a))) |
#s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (fma.f64 b (fma.f64 (*.f64 (sin.f64 a) b) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 a))) (sin.f64 a)) b) (cos.f64 a))) |
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b)) |
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b)) |
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a))) |
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a))) |
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a))) |
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a)))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (cos.f64 a))) b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b)) |
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r r) b)) |
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) |
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)) r (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 a)) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (neg.f64 (neg.f64 (sin.f64 a))) (cos.f64 a))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 b (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 a))))) (cos.f64 a))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (neg.f64 (neg.f64 (sin.f64 a))) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 a))))) (cos.f64 a))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)) |
#s(approx (neg (+ a b)) (-.f64 (neg.f64 b) a)) |
#s(approx (sin b) (sin.f64 b)) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) (*.f64 b b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) |
#s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 (fma.f64 r (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (*.f64 (fma.f64 r (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) |
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b)) |
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) b)) |
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
#s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 r (*.f64 (cos.f64 a) b))) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))))) |
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) r (neg.f64 (/.f64 r b))))) |
#s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 (+.f64 a b)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (+.f64 a b))) |
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)))) |
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a))) |
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)) #s(literal 1 binary64)))) |
#s(approx (neg (+ a b)) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64)))) |
Compiled 5 277 to 2 007 computations (62% saved)
63 alts after pruning (54 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 27 | 363 |
| Fresh | 5 | 27 | 32 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 342 | 63 | 405 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 60.8% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (sin.f64 b)))) | |
| 67.2% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)))) | |
| 58.9% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 58.9% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 42.7% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 43.4% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| ✓ | 63.0% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 36.6% | (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 42.5% | (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)))) | |
| 42.8% | (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) | |
| 42.7% | (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) | |
| 22.4% | (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a)))) | |
| 78.8% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| ✓ | 62.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
| 60.1% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 a))) | |
| 56.7% | (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 60.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (cos.f64 a) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) | |
| 43.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) | |
| 42.9% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| 65.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) | |
| 59.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 58.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) | |
| 56.0% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) | |
| 56.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) | |
| 43.3% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) | |
| 62.0% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) | |
| 43.5% | (*.f64 (sin.f64 b) (/.f64 r (sin.f64 (+.f64 #s(approx (+ a b) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) | |
| ✓ | 62.0% | (*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
| 58.5% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 59.8% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 62.0% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))) | |
| 99.5% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))) | |
| 99.3% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 a) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))))) | |
| ✓ | 99.5% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
| 67.2% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(approx (sin a) a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 43.3% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (PI.f64)))))) | |
| 42.5% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))))) | |
| 39.8% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (PI.f64)))))) | |
| 39.8% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 a b) (PI.f64)))))) | |
| 58.5% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)))))) | |
| 60.1% | (*.f64 (sin.f64 b) #s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 a)))) | |
| 56.0% | (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) | |
| 56.8% | (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 43.3% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) | |
| 56.7% | #s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 39.5% | #s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| ✓ | 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
| 38.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (tan.f64 a) (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) b)) | |
| 46.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (*.f64 r b) a))) b)) | |
| 56.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (neg.f64 (cos.f64 a)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 r))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (cos.f64 a)))) b)) | |
| ✓ | 62.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
| ✓ | 38.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
| 31.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))) b)) | |
| 31.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b)) | |
| 19.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b)) | |
| 56.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r)) b)) | |
| 38.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) | |
| ✓ | 39.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
Compiled 1 978 to 1 431 computations (27.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (*.f64 r b) a))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (tan.f64 a) (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) b)) |
(*.f64 (sin.f64 b) #s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) |
(*.f64 (sin.f64 b) (*.f64 r #s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) |
(*.f64 (sin.f64 b) (/.f64 r (sin.f64 (+.f64 #s(approx (+ a b) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 a b) (PI.f64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (PI.f64)))))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (PI.f64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) #s(literal 1 binary64)) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(approx (sin a) a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (cos.f64 a) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (neg.f64 (cos.f64 a)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 r))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) b (/.f64 r (cos.f64 a))) b)) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 a) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) (tan.f64 a)))) b (*.f64 (pow.f64 (cos.f64 a) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r)))) b (*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))) b (/.f64 r (cos.f64 a))) b)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
4 calls:
| 24.0ms | a |
| 23.0ms | r |
| 23.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 22.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (*.f64 r b) a))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (tan.f64 a) (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) b)) |
(*.f64 (sin.f64 b) #s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b)))) |
(*.f64 (sin.f64 b) (*.f64 r #s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) |
(*.f64 (sin.f64 b) (/.f64 r (sin.f64 (+.f64 #s(approx (+ a b) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 a b) (PI.f64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (PI.f64)))))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (PI.f64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (* (PI) 1/2) (+ a b)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) #s(literal 1 binary64)) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (- (* (sin a) (sin b)) (* (cos b) (cos a))) (-.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (tan.f64 a) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* r (/ 1 (cos a))) (* (tan a) (* (/ r (cos a)) b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (tan.f64 a) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (tan.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(approx (sin a) a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
4 calls:
| 88.0ms | a |
| 56.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 19.0ms | r |
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 78.9% | 1 | r |
| 78.9% | 1 | a |
| 78.9% | 1 | b |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (*.f64 r b) a))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (tan.f64 a) (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) b)) |
(*.f64 (sin.f64 b) #s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
(*.f64 (sin.f64 b) #s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 #s(approx (+ a b) b)))) |
4 calls:
| 9.0ms | r |
| 6.0ms | b |
| 6.0ms | a |
| 6.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | b |
| 68.2% | 3 | r |
| 65.6% | 3 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 78.9% | 3 | a |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (*.f64 r b) a))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (tan.f64 a) (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) b)) |
(*.f64 (sin.f64 b) #s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
(*.f64 (sin.f64 b) #s(approx (* r (/ -1 (- (* (sin a) (sin b)) (* (cos b) (cos a))))) (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (* (PI) 1/2) (+ a b)))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(approx (* (tan a) (* (/ r (cos a)) b)) (*.f64 (*.f64 r b) a))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (tan.f64 a) (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) b)) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r)) |
4 calls:
| 5.0ms | b |
| 3.0ms | a |
| 3.0ms | r |
| 3.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.0% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 62.0% | 1 | r |
| 62.0% | 1 | a |
| 62.0% | 1 | b |
Compiled 11 to 17 computations (-54.5% saved)
Total -13.5b remaining (-34.9%)
Threshold costs -13.5b (-34.9%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))) b)) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (/ r (cos a)) b) (tan a)) (/ r (cos a))) b) (*.f64 b r))) |
4 calls:
| 2.0ms | a |
| 2.0ms | r |
| 2.0ms | b |
| 2.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.7% | 1 | a |
| 39.7% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 39.7% | 1 | b |
| 39.7% | 1 | r |
Compiled 11 to 17 computations (-54.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 2.5665684814549536e+21 | 2.8174903337397765e+21 |
| 24.0ms | -278792962824.6034 | -0.00018540473265803829 |
| 13.0ms | 99× | 1 | valid |
| 5.0ms | 77× | 0 | valid |
Compiled 329 to 353 computations (-7.3% saved)
ival-cos: 5.0ms (38.6% of total)ival-sin: 3.0ms (23.1% of total)adjust: 2.0ms (15.4% of total)ival-add!: 1.0ms (7.7% of total)ival-div!: 1.0ms (7.7% of total)ival-mult!: 1.0ms (7.7% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5665684814549536e+21 | 2.8174903337397765e+21 |
| 1.0ms | -278792962824.6034 | -0.00018540473265803829 |
Compiled 331 to 355 computations (-7.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 2.8174903337397765e+21 | 2.7003873968313147e+26 |
| 1.0ms | -278792962824.6034 | -0.00018540473265803829 |
| 23.0ms | 138× | 1 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 449 to 489 computations (-8.9% saved)
ival-cos: 10.0ms (50.6% of total)ival-sin: 5.0ms (25.3% of total)adjust: 3.0ms (15.2% of total)ival-add!: 1.0ms (5.1% of total)ival-div!: 1.0ms (5.1% of total)ival-mult!: 1.0ms (5.1% of total)| 1× | fuel |
Compiled 91 to 63 computations (30.8% saved)
(negabs r)
Compiled 395 to 343 computations (13.2% saved)
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