
Time bar (total: 13.3s)
| 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 13 to 9 computations (30.8% saved)
ival-cos: 172.0ms (61.8% of total)ival-sin: 41.0ms (14.7% of total)ival-mult: 33.0ms (11.9% of total)ival-add: 18.0ms (6.5% of total)ival-div: 10.0ms (3.6% of total)const: 2.0ms (0.7% of total)backward-pass: 1.0ms (0.4% of total)| 1.5s | 5930× | 1 | valid |
| 225.0ms | 2326× | 0 | valid |
ival-sin: 489.0ms (37.9% of total)ival-cos: 325.0ms (25.2% of total)ival-mult: 144.0ms (11.2% of total)ival-div: 139.0ms (10.8% of total)ival-add: 104.0ms (8.1% of total)backward-pass: 81.0ms (6.3% of total)const: 8.0ms (0.6% of total)| 2× | egg-herbie |
| 2864× | fnmadd-define |
| 1978× | sum3-define |
| 1230× | fma-define |
| 1078× | fnmsub-define |
| 814× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 95 |
| 1 | 91 | 93 |
| 2 | 182 | 93 |
| 3 | 447 | 93 |
| 4 | 1325 | 93 |
| 5 | 3849 | 93 |
| 6 | 6499 | 93 |
| 0 | 8 | 9 |
| 1 | 12 | 9 |
| 2 | 14 | 9 |
| 3 | 16 | 9 |
| 4 | 17 | 9 |
| 0 | 17 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (cos (+ a b)))) |
| Outputs |
|---|
(* r (/ (sin b) (cos (+ a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
| Inputs |
|---|
(* r (/ (sin b) (cos (+ a b)))) |
(* (neg r) (/ (sin b) (cos (+ a b)))) |
(* r (/ (sin b) (cos (+ (neg a) b)))) |
(* r (/ (sin (neg b)) (cos (+ a (neg b))))) |
(neg (* (neg r) (/ (sin b) (cos (+ a b))))) |
(neg (* r (/ (sin b) (cos (+ (neg a) b))))) |
(neg (* r (/ (sin (neg b)) (cos (+ a (neg b)))))) |
(* a (/ (sin b) (cos (+ r b)))) |
(* b (/ (sin r) (cos (+ a r)))) |
(* r (/ (sin a) (cos (+ b a)))) |
| Outputs |
|---|
(* r (/ (sin b) (cos (+ a b)))) |
(/ (* r (sin b)) (cos (+ b a))) |
(* (neg r) (/ (sin b) (cos (+ a b)))) |
(/ (fnmsub r (sin b) 0) (cos (+ b a))) |
(* r (/ (sin b) (cos (+ (neg a) b)))) |
(/ (* r (sin b)) (cos (- b a))) |
(* r (/ (sin (neg b)) (cos (+ a (neg b))))) |
(/ (fnmsub r (sin b) 0) (cos (- b a))) |
(neg (* (neg r) (/ (sin b) (cos (+ a b))))) |
(/ (* r (sin b)) (cos (+ b a))) |
(neg (* r (/ (sin b) (cos (+ (neg a) b))))) |
(/ (fnmsub r (sin b) 0) (cos (- b a))) |
(neg (* r (/ (sin (neg b)) (cos (+ a (neg b)))))) |
(/ (* r (sin b)) (cos (- b a))) |
(* a (/ (sin b) (cos (+ r b)))) |
(/ (* (sin b) a) (cos (+ r b))) |
(* b (/ (sin r) (cos (+ a r)))) |
(/ (* b (sin r)) (cos (+ r a))) |
(* r (/ (sin a) (cos (+ b a)))) |
(/ (* r (sin a)) (cos (+ b a))) |
(negabs r)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 121 | (1.5117212168478948e-164 -2.836315558664889e+26 8.413611227319819e-241) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 98.0ms | 362× | 1 | valid |
| 14.0ms | 150× | 0 | valid |
Compiled 76 to 26 computations (65.8% saved)
ival-sin: 24.0ms (35.6% of total)ival-cos: 19.0ms (28.2% of total)ival-mult: 7.0ms (10.4% of total)ival-add: 6.0ms (8.9% of total)backward-pass: 6.0ms (8.9% of total)ival-div: 5.0ms (7.4% of total)const: 1.0ms (1.5% of total)Compiled 12 to 8 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
| ▶ | 75.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 24 to 16 computations (33.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 a b)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 6× | *-commutative |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 17 | 53 |
| 2 | 19 | 53 |
| 3 | 20 | 53 |
| 0 | 20 | 53 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* r (/ (sin b) (cos (+ a b)))) |
r |
(/ (sin b) (cos (+ a b))) |
(sin b) |
b |
(cos (+ a b)) |
(+ a b) |
a |
(/ (* r (sin b)) (cos (+ b a))) |
(* r (sin b)) |
r |
(sin b) |
b |
(cos (+ b a)) |
(+ b a) |
a |
| Outputs |
|---|
(* r (/ (sin b) (cos (+ a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
r |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin b) |
(sin.f64 b) |
b |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(+ a b) |
(+.f64 b a) |
a |
(/ (* r (sin b)) (cos (+ b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
r |
(sin b) |
(sin.f64 b) |
b |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
a |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 75.9% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| ✓ | accuracy | 75.9% | (cos.f64 (+.f64 a b)) |
| 75.0ms | 183× | 1 | valid |
| 10.0ms | 73× | 0 | valid |
Compiled 57 to 13 computations (77.2% saved)
ival-cos: 16.0ms (30.2% of total)ival-sin: 12.0ms (22.7% of total)backward-pass: 8.0ms (15.1% of total)ival-mult: 6.0ms (11.3% of total)ival-add: 5.0ms (9.4% of total)ival-div: 5.0ms (9.4% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* r (/ (sin b) (cos (+ a b))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (sin b)> |
#<alt (cos (+ a b))> |
#<alt (/ (* r (sin b)) (cos (+ b a)))> |
#<alt (* r (sin b))> |
#<alt (cos (+ b a))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | (* r (/ (sin b) (cos (+ a b)))) |
| 2.0ms | a | @ | inf | (/ (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | b | @ | 0 | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | a | @ | inf | (* r (/ (sin b) (cos (+ a b)))) |
| 1× | batch-egg-rewrite |
| 3100× | *-lowering-*.f32 |
| 3100× | *-lowering-*.f64 |
| 1706× | /-lowering-/.f32 |
| 1706× | /-lowering-/.f64 |
| 1286× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 65 | 39 |
| 2 | 430 | 39 |
| 3 | 3929 | 39 |
| 0 | 8142 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (cos (+ a b)))) |
(/ (sin b) (cos (+ a b))) |
(sin b) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ b a))) |
(* r (sin b)) |
(cos (+ b a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) r)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(sin.f64 b) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (sin.f64 b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (+.f64 b a))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))) |
(cos.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))) |
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 a b))) (-.f64 a b))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 b a))) (-.f64 b a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
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(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
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(*.f64 (sin.f64 b) (neg.f64 (-.f64 #s(literal 0 binary64) r))) |
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)) |
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (sin.f64 b)) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (+.f64 b a))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))) |
(cos.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))) |
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 a b))) (-.f64 a b))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 b a))) (-.f64 b a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (neg.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (neg.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.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) (+.f64 b a))))) (-.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64))) (-.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
| 1× | egg-herbie |
| 4748× | *-lowering-*.f32 |
| 4748× | *-lowering-*.f64 |
| 3166× | +-lowering-+.f64 |
| 3166× | +-lowering-+.f32 |
| 1354× | neg-lowering-neg.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 2071 |
| 1 | 793 | 1938 |
| 2 | 2750 | 1859 |
| 0 | 8305 | 1859 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* 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)))) |
(* 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)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* 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))) |
(+ (* 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))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* 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)))) |
(* 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)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* 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))) |
(+ (* 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))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)))))))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a))))))))))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))))) (+.f64 (*.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))))))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)))))))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
Compiled 8273 to 811 computations (90.2% saved)
44 alts after pruning (44 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 436 | 44 | 480 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 438 | 44 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| 40.7% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 75.7% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 75.1% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) | |
| 46.6% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) | |
| 46.6% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 76.7% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) | |
| 98.7% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))))) | |
| 75.7% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 57.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 57.2% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) | |
| 47.8% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) | |
| 75.7% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 43.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 b a))))) | |
| 29.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) | |
| 60.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 51.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 47.1% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| 75.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 75.5% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 75.7% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) | |
| 75.6% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) | |
| 75.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| ▶ | 75.8% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
| ▶ | 34.8% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
| 75.6% | (*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 46.7% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))) (cos.f64 (+.f64 a b)))) | |
| 46.6% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) | |
| 46.7% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) | |
| 75.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| ▶ | 60.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
| 51.0% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 47.1% | (*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) | |
| 46.9% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 75.7% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) | |
| ▶ | 46.9% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 47.3% | (*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) | |
| 32.3% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 1714 to 1106 computations (35.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 64 | (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 12928 | (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 12928 | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (sin.f64 b)) |
| ✓ | cost-diff | 256 | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
| ✓ | cost-diff | 0 | (cos.f64 b) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 b)) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 a)) |
| ✓ | cost-diff | 0 | (*.f64 b (/.f64 r (cos.f64 a))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 2376× | fnmadd-define |
| 2016× | fma-define |
| 1416× | sum3-define |
| 1286× | fnmsub-define |
| 1224× | fmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 189 |
| 1 | 59 | 180 |
| 2 | 117 | 180 |
| 3 | 257 | 176 |
| 4 | 595 | 176 |
| 5 | 1056 | 176 |
| 6 | 2808 | 176 |
| 7 | 4891 | 176 |
| 8 | 7091 | 176 |
| 9 | 7889 | 176 |
| 0 | 8003 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))) |
r |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) |
(sin b) |
b |
(- (* (cos a) (cos b)) (* (sin b) (sin a))) |
(* (cos a) (cos b)) |
(cos a) |
a |
(cos b) |
(* (sin b) (sin a)) |
(sin a) |
(* b (/ r (cos a))) |
b |
(/ r (cos a)) |
r |
(cos a) |
a |
(* r (/ (sin b) (cos b))) |
r |
(/ (sin b) (cos b)) |
(sin b) |
b |
(cos b) |
(* (- 0 (sin b)) (* (/ -1 (cos (+ b a))) r)) |
(- 0 (sin b)) |
0 |
(sin b) |
b |
(* (/ -1 (cos (+ b a))) r) |
(/ -1 (cos (+ b a))) |
-1 |
(cos (+ b a)) |
(+ b a) |
a |
r |
(* r (pow (pow (/ (sin b) (cos (+ b a))) 1/2) 2)) |
r |
(pow (pow (/ (sin b) (cos (+ b a))) 1/2) 2) |
(pow (/ (sin b) (cos (+ b a))) 1/2) |
(/ (sin b) (cos (+ b a))) |
(sin b) |
b |
(cos (+ b a)) |
(+ b a) |
a |
1/2 |
2 |
| Outputs |
|---|
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(sin b) |
(sin.f64 b) |
b |
(- (* (cos a) (cos b)) (* (sin b) (sin a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
a |
(cos b) |
(cos.f64 b) |
(* (sin b) (sin a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin a) |
(sin.f64 a) |
(* b (/ r (cos a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
b |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
r |
(cos a) |
(cos.f64 a) |
a |
(* r (/ (sin b) (cos b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
r |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(sin b) |
(sin.f64 b) |
b |
(cos b) |
(cos.f64 b) |
(* (- 0 (sin b)) (* (/ -1 (cos (+ b a))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(- 0 (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
0 |
#s(literal 0 binary64) |
(sin b) |
(sin.f64 b) |
b |
(* (/ -1 (cos (+ b a))) r) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (+ b a))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
-1 |
#s(literal -1 binary64) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
a |
r |
(* r (pow (pow (/ (sin b) (cos (+ b a))) 1/2) 2)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
r |
(pow (pow (/ (sin b) (cos (+ b a))) 1/2) 2) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(pow (/ (sin b) (cos (+ b a))) 1/2) |
(sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/ (sin b) (cos (+ b a))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin b) |
(sin.f64 b) |
b |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
a |
1/2 |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.6% | (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 90.5% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
| ✓ | accuracy | 90.5% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 100.0% | (cos.f64 b) |
| ✓ | accuracy | 99.9% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 b) (cos.f64 b)) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.9% | (*.f64 b (/.f64 r (cos.f64 a))) |
| ✓ | accuracy | 99.9% | (/.f64 r (cos.f64 a)) |
| ✓ | accuracy | 99.9% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
| ✓ | accuracy | 99.9% | (*.f64 (sin.f64 b) (sin.f64 a)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
| 138.0ms | 84× | 1 | valid |
| 83.0ms | 91× | 1 | invalid |
| 16.0ms | 51× | 0 | invalid |
| 12.0ms | 30× | 0 | valid |
Compiled 198 to 31 computations (84.3% saved)
ival-mult: 74.0ms (41.1% of total)ival-cos: 30.0ms (16.6% of total)ival-sin: 28.0ms (15.5% of total)ival-pow: 16.0ms (8.9% of total)ival-div: 13.0ms (7.2% of total)backward-pass: 12.0ms (6.7% of total)ival-sub: 4.0ms (2.2% of total)ival-add: 2.0ms (1.1% of total)const: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))> |
#<alt (sin b)> |
#<alt (- (* (cos a) (cos b)) (* (sin b) (sin a)))> |
#<alt (* b (/ r (cos a)))> |
#<alt (/ r (cos a))> |
#<alt (cos a)> |
#<alt (* r (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (cos b))> |
#<alt (cos b)> |
#<alt (* (- 0 (sin b)) (* (/ -1 (cos (+ b a))) r))> |
#<alt (- 0 (sin b))> |
#<alt (* (/ -1 (cos (+ b a))) r)> |
#<alt (* r (pow (pow (/ (sin b) (cos (+ b a))) 1/2) 2))> |
#<alt (pow (pow (/ (sin b) (cos (+ b a))) 1/2) 2)> |
#<alt (pow (/ (sin b) (cos (+ b a))) 1/2)> |
#<alt (/ (sin b) (cos (+ b a)))> |
#<alt (* (sin b) (sin a))> |
#<alt (cos (+ b a))> |
#<alt (/ -1 (cos (+ b a)))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
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#<alt (/ (* r (sin b)) (cos b))> |
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#<alt (/ (* r (sin b)) (cos b))> |
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#<alt (* -1 b)> |
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#<alt (/ (sin b) (cos (+ a b)))> |
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#<alt (+ (sqrt (/ b (cos a))) (* (pow b 2) (+ (* 1/2 (* (sqrt (* b (cos a))) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (* 1/2 (* (sqrt (/ 1 (* b (pow (cos a) 3)))) (sin a))))))> |
#<alt (+ (sqrt (/ b (cos a))) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* b (pow (cos a) 3)))) (sin a))) (* b (+ (* -1/2 (* (sqrt (* b (cos a))) (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (+ (* 1/6 (/ (sin a) (pow (cos a) 2))) (* 1/4 (/ (pow (sin a) 2) (* b (pow (cos a) 3))))))))) (* 1/2 (* (sqrt (/ (cos a) b)) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))))))))> |
#<alt (sqrt (/ (sin b) (cos (+ a b))))> |
#<alt (sqrt (/ (sin b) (cos (+ a b))))> |
#<alt (sqrt (/ (sin b) (cos (+ a b))))> |
#<alt (sqrt (/ (sin b) (cos (+ a b))))> |
#<alt (sqrt (/ (sin b) (cos (- a (* -1 b)))))> |
#<alt (sqrt (/ (sin b) (cos (- a (* -1 b)))))> |
#<alt (sqrt (/ (sin b) (cos (- a (* -1 b)))))> |
#<alt (sqrt (/ (sin b) (cos (- a (* -1 b)))))> |
#<alt (sqrt (/ (sin b) (cos b)))> |
#<alt (+ (sqrt (/ (sin b) (cos b))) (* 1/2 (* a (sqrt (/ (pow (sin b) 3) (pow (cos b) 3))))))> |
#<alt (+ (sqrt (/ (sin b) (cos b))) (* a (+ (* -1/2 (* (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* 1/4 (/ (pow (sin b) 3) (pow (cos b) 3)))))) (sqrt (/ (cos b) (sin b))))) (* 1/2 (sqrt (/ (pow (sin b) 3) (pow (cos b) 3)))))))> |
#<alt (+ (sqrt (/ (sin b) (cos b))) (* a (+ (* 1/2 (sqrt (/ (pow (sin b) 3) (pow (cos b) 3)))) (* a (+ (* -1/2 (* (sqrt (/ (cos b) (sin b))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* 1/4 (/ (pow (sin b) 3) (pow (cos b) 3))))))) (* -1/2 (* (* a (+ (* -1/2 (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* 1/4 (/ (pow (sin b) 3) (pow (cos b) 3)))))) (cos b))) (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (sqrt (/ (cos b) (sin b))))))))))> |
#<alt (sqrt (/ (sin b) (cos (+ a b))))> |
#<alt (sqrt (/ (sin b) (cos (+ a b))))> |
#<alt (sqrt (/ (sin b) (cos (+ a b))))> |
#<alt (sqrt (/ (sin b) (cos (+ a b))))> |
#<alt (sqrt (/ (sin b) (cos (- b (* -1 a)))))> |
#<alt (sqrt (/ (sin b) (cos (- b (* -1 a)))))> |
#<alt (sqrt (/ (sin b) (cos (- b (* -1 a)))))> |
#<alt (sqrt (/ (sin b) (cos (- b (* -1 a)))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (/ -1 (cos a))> |
#<alt (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))> |
#<alt (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))> |
#<alt (- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (- a (* -1 b))))> |
#<alt (/ -1 (cos (- a (* -1 b))))> |
#<alt (/ -1 (cos (- a (* -1 b))))> |
#<alt (/ -1 (cos (- a (* -1 b))))> |
#<alt (/ -1 (cos b))> |
#<alt (- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b)))> |
#<alt (- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b)))> |
#<alt (- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (- b (* -1 a))))> |
#<alt (/ -1 (cos (- b (* -1 a))))> |
#<alt (/ -1 (cos (- b (* -1 a))))> |
#<alt (/ -1 (cos (- b (* -1 a))))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | b | @ | -inf | (pow (/ (sin b) (cos (+ b a))) 1/2) |
| 5.0ms | a | @ | -inf | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))) |
| 3.0ms | b | @ | -inf | (- (* (cos a) (cos b)) (* (sin b) (sin a))) |
| 2.0ms | r | @ | 0 | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))) |
| 2.0ms | b | @ | inf | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))) |
| 1× | batch-egg-rewrite |
| 3664× | /-lowering-/.f32 |
| 3664× | /-lowering-/.f64 |
| 3084× | *-lowering-*.f32 |
| 3084× | *-lowering-*.f64 |
| 1762× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 108 |
| 1 | 163 | 107 |
| 2 | 1139 | 107 |
| 0 | 8478 | 107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) |
(sin b) |
(- (* (cos a) (cos b)) (* (sin b) (sin a))) |
(* b (/ r (cos a))) |
(/ r (cos a)) |
(cos a) |
(* r (/ (sin b) (cos b))) |
(/ (sin b) (cos b)) |
(cos b) |
(* (- 0 (sin b)) (* (/ -1 (cos (+ b a))) r)) |
(- 0 (sin b)) |
(* (/ -1 (cos (+ b a))) r) |
(* r (pow (pow (/ (sin b) (cos (+ b a))) 1/2) 2)) |
(pow (pow (/ (sin b) (cos (+ b a))) 1/2) 2) |
(pow (/ (sin b) (cos (+ b a))) 1/2) |
(/ (sin b) (cos (+ b a))) |
(* (sin b) (sin a)) |
(cos (+ b a)) |
(/ -1 (cos (+ b a))) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (-.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) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (cos.f64 (+.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (-.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) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (*.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) r)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) r)) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 b)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (sin.f64 b)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.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)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(*.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 1/4 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (-.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
| 1× | egg-herbie |
| 5934× | *-lowering-*.f32 |
| 5934× | *-lowering-*.f64 |
| 2672× | +-lowering-+.f64 |
| 2672× | +-lowering-+.f32 |
| 1746× | sum4-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 6186 |
| 1 | 2033 | 5781 |
| 2 | 7681 | 5781 |
| 0 | 8758 | 5781 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* 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)))) |
(* 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)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* 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))) |
(+ (* 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))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* 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))))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ 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)))) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(* b r) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
b |
(* b (+ 1 (* 1/3 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2)))))) |
(* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2)))))))) |
(/ (sin b) (cos b)) |
(/ (sin b) (cos b)) |
(/ (sin b) (cos b)) |
(/ (sin b) (cos b)) |
(/ (sin b) (cos b)) |
(/ (sin b) (cos b)) |
(/ (sin b) (cos b)) |
(/ (sin b) (cos b)) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* 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)))) |
(* 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)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
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(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* 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))) |
(+ (* 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))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
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(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* 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 (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* 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 (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* 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)))) |
(* 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)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* 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))) |
(+ (* 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))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(sqrt (/ b (cos a))) |
(+ (sqrt (/ b (cos a))) (* 1/2 (* (sqrt (/ (pow b 3) (pow (cos a) 3))) (sin a)))) |
(+ (sqrt (/ b (cos a))) (* (pow b 2) (+ (* 1/2 (* (sqrt (* b (cos a))) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (* 1/2 (* (sqrt (/ 1 (* b (pow (cos a) 3)))) (sin a)))))) |
(+ (sqrt (/ b (cos a))) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* b (pow (cos a) 3)))) (sin a))) (* b (+ (* -1/2 (* (sqrt (* b (cos a))) (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (+ (* 1/6 (/ (sin a) (pow (cos a) 2))) (* 1/4 (/ (pow (sin a) 2) (* b (pow (cos a) 3))))))))) (* 1/2 (* (sqrt (/ (cos a) b)) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))))))))) |
(sqrt (/ (sin b) (cos (+ a b)))) |
(sqrt (/ (sin b) (cos (+ a b)))) |
(sqrt (/ (sin b) (cos (+ a b)))) |
(sqrt (/ (sin b) (cos (+ a b)))) |
(sqrt (/ (sin b) (cos (- a (* -1 b))))) |
(sqrt (/ (sin b) (cos (- a (* -1 b))))) |
(sqrt (/ (sin b) (cos (- a (* -1 b))))) |
(sqrt (/ (sin b) (cos (- a (* -1 b))))) |
(sqrt (/ (sin b) (cos b))) |
(+ (sqrt (/ (sin b) (cos b))) (* 1/2 (* a (sqrt (/ (pow (sin b) 3) (pow (cos b) 3)))))) |
(+ (sqrt (/ (sin b) (cos b))) (* a (+ (* -1/2 (* (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* 1/4 (/ (pow (sin b) 3) (pow (cos b) 3)))))) (sqrt (/ (cos b) (sin b))))) (* 1/2 (sqrt (/ (pow (sin b) 3) (pow (cos b) 3))))))) |
(+ (sqrt (/ (sin b) (cos b))) (* a (+ (* 1/2 (sqrt (/ (pow (sin b) 3) (pow (cos b) 3)))) (* a (+ (* -1/2 (* (sqrt (/ (cos b) (sin b))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* 1/4 (/ (pow (sin b) 3) (pow (cos b) 3))))))) (* -1/2 (* (* a (+ (* -1/2 (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* 1/4 (/ (pow (sin b) 3) (pow (cos b) 3)))))) (cos b))) (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (sqrt (/ (cos b) (sin b)))))))))) |
(sqrt (/ (sin b) (cos (+ a b)))) |
(sqrt (/ (sin b) (cos (+ a b)))) |
(sqrt (/ (sin b) (cos (+ a b)))) |
(sqrt (/ (sin b) (cos (+ a b)))) |
(sqrt (/ (sin b) (cos (- b (* -1 a))))) |
(sqrt (/ (sin b) (cos (- b (* -1 a))))) |
(sqrt (/ (sin b) (cos (- b (* -1 a))))) |
(sqrt (/ (sin b) (cos (- b (* -1 a))))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ -1 (cos a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))))) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (*.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))))) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
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(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
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(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
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(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos b) |
(cos.f64 b) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
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(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(/ (* b r) (cos a)) |
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(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b r) |
(*.f64 r b) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r b)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+.f64 (*.f64 r b) (*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 r b) #s(literal 5/24 binary64))) (*.f64 (*.f64 r b) #s(literal 1/2 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))))) |
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(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
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(/.f64 (*.f64 r b) (cos.f64 a)) |
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(/.f64 (*.f64 r b) (cos.f64 a)) |
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(/.f64 (*.f64 r b) (cos.f64 a)) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) r) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+.f64 r (*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64))) (*.f64 r #s(literal 1/2 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)))) |
(+.f64 r (*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 (+.f64 (*.f64 r #s(literal -5/48 binary64)) (*.f64 r #s(literal 7/360 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 a a))) (*.f64 r #s(literal 5/24 binary64)))) (*.f64 r #s(literal 1/2 binary64))))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
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(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
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(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
b |
(* b (+ 1 (* 1/3 (pow b 2)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64))))) |
(* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64))))))) |
(* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2)))))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64)))))))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
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(/.f64 (sin.f64 b) (cos.f64 b)) |
(/ (sin b) (cos b)) |
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(/ (sin b) (cos b)) |
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(/.f64 (sin.f64 b) (cos.f64 b)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow b 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64))))))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 b (*.f64 b #s(literal -1/720 binary64)))))))) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
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(+.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(+.f64 (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
Compiled 49084 to 4161 computations (91.5% saved)
80 alts after pruning (77 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1905 | 58 | 1963 |
| Fresh | 20 | 19 | 39 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1927 | 80 | 2007 |
| Status | Accuracy | Program |
|---|---|---|
| 41.7% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (sin.f64 b)) | |
| 75.7% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| ▶ | 57.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 29.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) | |
| 60.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 51.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 47.1% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| 46.9% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 75.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 60.5% | (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) | |
| 46.8% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| 60.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) | |
| 60.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) | |
| 75.7% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 60.5% | (*.f64 (/.f64 r (cos.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 60.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 41.7% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.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) (sin.f64 b)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) | |
| 99.4% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) | |
| 98.7% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) r)) | |
| 98.6% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))) r)) | |
| 98.8% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) r)) | |
| 99.4% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)) | |
| 75.7% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) | |
| 51.0% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) r)) | |
| 60.6% | (*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) | |
| 60.7% | (*.f64 (tan.f64 b) r) | |
| 33.6% | (*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| 19.8% | (*.f64 r (pow.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) #s(literal 2 binary64))) | |
| 31.7% | (*.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (neg.f64 (/.f64 (-.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 (+.f64 b a))))))) | |
| 31.0% | (*.f64 r (/.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 b))) | |
| 64.5% | (*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 41.1% | (*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 b))) | |
| 41.8% | (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))) | |
| 41.1% | (*.f64 r (/.f64 (*.f64 (-.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) (sin.f64 b))) (cos.f64 b))) | |
| 46.6% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) | |
| 46.7% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| 98.7% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 75.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))))) | |
| 55.8% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 1 binary64))) (*.f64 (-.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) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 98.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 48.1% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 b (*.f64 b #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 47.9% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 47.3% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (sin.f64 b))) (sin.f64 a))))) | |
| 49.2% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))) (sin.f64 a))))) | |
| ▶ | 50.6% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
| 52.1% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (sin.f64 a))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 57.7% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))))) | |
| 52.3% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 62.0% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| ▶ | 32.2% | (*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
| ✓ | 60.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
| 51.0% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 36.5% | (*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) | |
| 46.9% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 31.7% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))) | |
| 41.1% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 b)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) | |
| 41.1% | (*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b)))) | |
| 31.5% | (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) | |
| 31.5% | (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) | |
| 31.5% | (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) | |
| 43.0% | (*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) | |
| 28.1% | (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))) | |
| ▶ | 32.1% | (*.f64 r b) |
| 30.9% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) | |
| 31.1% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) | |
| 31.2% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) | |
| ✓ | 46.9% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 31.5% | (*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) | |
| 31.6% | (*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) | |
| 46.9% | (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 32.3% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 3480 to 2279 computations (34.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a)))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 6400 | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | cost-diff | 6400 | (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| ✓ | cost-diff | 6400 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| 2714× | fma-lowering-fma.f32 |
| 2714× | fma-lowering-fma.f64 |
| 1910× | fmsub-define |
| 1866× | *-lowering-*.f32 |
| 1866× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 320 |
| 1 | 97 | 302 |
| 2 | 235 | 287 |
| 3 | 670 | 287 |
| 4 | 2175 | 287 |
| 5 | 6261 | 287 |
| 0 | 8592 | 287 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))) |
r |
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(sin b) |
b |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(- 0 (sin b)) |
0 |
(sin a) |
a |
(* (cos a) (cos b)) |
(cos a) |
(cos b) |
(* r b) |
r |
b |
(* r (/ (sin b) (+ 1 (* b (* b -1/2))))) |
r |
(/ (sin b) (+ 1 (* b (* b -1/2)))) |
(sin b) |
b |
(+ 1 (* b (* b -1/2))) |
1 |
(* b (* b -1/2)) |
(* b -1/2) |
-1/2 |
(/ (* r (sin b)) (- (cos b) (* (sin b) a))) |
(* r (sin b)) |
r |
(sin b) |
b |
(- (cos b) (* (sin b) a)) |
(cos b) |
(* (sin b) a) |
a |
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))))) |
r |
(/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)))) |
(sin b) |
b |
(- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))) |
(* (cos a) (cos b)) |
(cos a) |
a |
(cos b) |
(* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)) |
(* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) |
(+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120))))) |
1 |
(* b (* b (+ -1/6 (* (* b b) 1/120)))) |
(* b (+ -1/6 (* (* b b) 1/120))) |
(+ -1/6 (* (* b b) 1/120)) |
-1/6 |
(* (* b b) 1/120) |
(* b b) |
1/120 |
(sin a) |
| Outputs |
|---|
(* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(sin b) |
(sin.f64 b) |
b |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(- 0 (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
0 |
#s(literal 0 binary64) |
(sin a) |
(sin.f64 a) |
a |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
(cos b) |
(cos.f64 b) |
(* r b) |
(*.f64 r b) |
r |
b |
(* r (/ (sin b) (+ 1 (* b (* b -1/2))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
r |
(/ (sin b) (+ 1 (* b (* b -1/2)))) |
(/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(sin b) |
(sin.f64 b) |
b |
(+ 1 (* b (* b -1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) |
1 |
#s(literal 1 binary64) |
(* b (* b -1/2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 b b)) |
(* b -1/2) |
(*.f64 b #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (* r (sin b)) (- (cos b) (* (sin b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
r |
(sin b) |
(sin.f64 b) |
b |
(- (cos b) (* (sin b) a)) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(cos b) |
(cos.f64 b) |
(* (sin b) a) |
(*.f64 (sin.f64 b) a) |
a |
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) #s(literal -1/120 binary64))))) (*.f64 b (sin.f64 a))))) |
r |
(/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)))) |
(/.f64 (sin.f64 b) (+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) #s(literal -1/120 binary64))))) (*.f64 b (sin.f64 a))))) |
(sin b) |
(sin.f64 b) |
b |
(- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) #s(literal -1/120 binary64))))) (*.f64 b (sin.f64 a)))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
a |
(cos b) |
(cos.f64 b) |
(* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) |
(* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) |
(+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120))))) |
(+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* b (* b (+ -1/6 (* (* b b) 1/120)))) |
(*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))) |
(* b (+ -1/6 (* (* b b) 1/120))) |
(*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))) |
(+ -1/6 (* (* b b) 1/120)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* b b) 1/120) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* b b) |
(*.f64 b b) |
1/120 |
#s(literal 1/120 binary64) |
(sin a) |
(sin.f64 a) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 98.4% | (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a)) |
| ✓ | accuracy | 97.6% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
| ✓ | accuracy | 100.0% | (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) a) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 94.5% | (*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 194.0ms | 256× | 0 | valid |
Compiled 331 to 39 computations (88.2% saved)
ival-mult: 32.0ms (35.1% of total)ival-sin: 13.0ms (14.3% of total)ival-cos: 11.0ms (12.1% of total)ival-add: 10.0ms (11% of total)ival-div: 9.0ms (9.9% of total)...c/correct-round.rkt:119:19: 8.0ms (8.8% of total)ival-sub: 5.0ms (5.5% of total)compiled-spec: 4.0ms (4.4% of total)const: 1.0ms (1.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))))> |
#<alt (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))> |
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))> |
#<alt (sin b)> |
#<alt (* r b)> |
#<alt (* r (/ (sin b) (+ 1 (* b (* b -1/2)))))> |
#<alt (/ (sin b) (+ 1 (* b (* b -1/2))))> |
#<alt (+ 1 (* b (* b -1/2)))> |
#<alt (/ (* r (sin b)) (- (cos b) (* (sin b) a)))> |
#<alt (* r (sin b))> |
#<alt (- (cos b) (* (sin b) a))> |
#<alt (* r (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)))> |
#<alt (* (cos a) (cos b))> |
#<alt (* b -1/2)> |
#<alt (* (sin b) a)> |
#<alt (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))> |
#<alt (* b (+ -1/6 (* (* b b) 1/120)))> |
#<alt (* (* b b) 1/120)> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (cos a)> |
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#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* b r)> |
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))> |
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))) (* -1/2 r)))))> |
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (* -1/2 (- (* 1/120 r) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))))) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))) (* -1/2 r)))))> |
#<alt (* -2 (/ (* r (sin b)) (pow b 2)))> |
#<alt (/ (+ (* -4 (/ (* r (sin b)) (pow b 2))) (* -2 (* r (sin b)))) (pow b 2))> |
#<alt (/ (- (+ (* -8 (/ (* r (sin b)) (pow b 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ (* -16 (/ (* r (sin b)) (pow b 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow b 2))) (* 8 (/ (* r (sin b)) (pow b 4))))) (pow b 2))> |
#<alt (* -2 (/ (* r (sin b)) (pow b 2)))> |
#<alt (/ (+ (* -4 (/ (* r (sin b)) (pow b 2))) (* -2 (* r (sin b)))) (pow b 2))> |
#<alt (/ (- (+ (* -8 (/ (* r (sin b)) (pow b 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow b 2)))) (pow b 2))> |
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#<alt (/ (- (+ (* -16 (/ (sin b) (pow b 6))) (* -2 (sin b))) (+ (* 4 (/ (sin b) (pow b 2))) (* 8 (/ (sin b) (pow b 4))))) (pow b 2))> |
#<alt 1> |
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#<alt (* b r)> |
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#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
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#<alt (* r (sin b))> |
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#<alt (* r (sin b))> |
#<alt (* b r)> |
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#<alt (* r (sin b))> |
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#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
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#<alt (* r (sin b))> |
#<alt 1> |
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#<alt (- (cos b) (* a (sin b)))> |
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#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
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#<alt (cos b)> |
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#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
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#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
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#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
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#<alt (/ (* b r) (cos a))> |
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#<alt (* 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))))> |
#<alt (* -120 (/ (* r (sin b)) (* (pow b 5) (sin a))))> |
#<alt (/ (+ (* -2400 (/ (* r (sin b)) (* (pow b 2) (sin a)))) (* -120 (/ (* r (sin b)) (sin a)))) (pow b 5))> |
#<alt (/ (- (+ (* -120 (/ (* r (sin b)) (sin a))) (* -1 (/ (+ (* -14400 (/ (* r (sin b)) (sin a))) (* 48000 (/ (* r (sin b)) (sin a)))) (pow b 4)))) (* 2400 (/ (* r (sin b)) (* (pow b 2) (sin a))))) (pow b 5))> |
#<alt (/ (- (+ (* -14400 (/ (* r (* (cos a) (* (cos b) (sin b)))) (* (pow b 5) (pow (sin a) 2)))) (* -120 (/ (* r (sin b)) (sin a)))) (+ (* -14400 (/ (* r (sin b)) (* (pow b 4) (sin a)))) (+ (* 2400 (/ (* r (sin b)) (* (pow b 2) (sin a)))) (* 48000 (/ (* r (sin b)) (* (pow b 4) (sin a))))))) (pow b 5))> |
#<alt (* -120 (/ (* r (sin b)) (* (pow b 5) (sin a))))> |
#<alt (* -1 (/ (+ (* 120 (/ (* r (sin b)) (sin a))) (* 2400 (/ (* r (sin b)) (* (pow b 2) (sin a))))) (pow b 5)))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -48000 (/ (* r (sin b)) (sin a))) (* 14400 (/ (* r (sin b)) (sin a)))) (pow b 4))) (* 120 (/ (* r (sin b)) (sin a)))) (* -2400 (/ (* r (sin b)) (* (pow b 2) (sin a))))) (pow b 5)))> |
#<alt (* -1 (/ (- (+ (* 120 (/ (* r (sin b)) (sin a))) (* 14400 (/ (* r (* (cos a) (* (cos b) (sin b)))) (* (pow b 5) (pow (sin a) 2))))) (+ (* -48000 (/ (* r (sin b)) (* (pow b 4) (sin a)))) (+ (* -2400 (/ (* r (sin b)) (* (pow b 2) (sin a)))) (* 14400 (/ (* r (sin b)) (* (pow b 4) (sin a))))))) (pow b 5)))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) (/ (* b (* (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) (+ (* -1 (/ (* (pow b 2) (* r (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (cos b)))))) (+ (* -1 (/ (* (pow b 2) (* r (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* -120 (/ (sin b) (* (pow b 5) (sin a))))> |
#<alt (/ (+ (* -2400 (/ (sin b) (* (pow b 2) (sin a)))) (* -120 (/ (sin b) (sin a)))) (pow b 5))> |
#<alt (/ (- (+ (* -120 (/ (sin b) (sin a))) (* -1 (/ (+ (* -14400 (/ (sin b) (sin a))) (* 48000 (/ (sin b) (sin a)))) (pow b 4)))) (* 2400 (/ (sin b) (* (pow b 2) (sin a))))) (pow b 5))> |
#<alt (/ (- (+ (* -14400 (/ (* (cos a) (* (cos b) (sin b))) (* (pow b 5) (pow (sin a) 2)))) (* -120 (/ (sin b) (sin a)))) (+ (* -14400 (/ (sin b) (* (pow b 4) (sin a)))) (+ (* 2400 (/ (sin b) (* (pow b 2) (sin a)))) (* 48000 (/ (sin b) (* (pow b 4) (sin a))))))) (pow b 5))> |
#<alt (* -120 (/ (sin b) (* (pow b 5) (sin a))))> |
#<alt (* -1 (/ (+ (* 120 (/ (sin b) (sin a))) (* 2400 (/ (sin b) (* (pow b 2) (sin a))))) (pow b 5)))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -48000 (/ (sin b) (sin a))) (* 14400 (/ (sin b) (sin a)))) (pow b 4))) (* 120 (/ (sin b) (sin a)))) (* -2400 (/ (sin b) (* (pow b 2) (sin a))))) (pow b 5)))> |
#<alt (* -1 (/ (- (+ (* 120 (/ (sin b) (sin a))) (* 14400 (/ (* (cos a) (* (cos b) (sin b))) (* (pow b 5) (pow (sin a) 2))))) (+ (* -48000 (/ (sin b) (* (pow b 4) (sin a)))) (+ (* -2400 (/ (sin b) (* (pow b 2) (sin a)))) (* 14400 (/ (sin b) (* (pow b 4) (sin a))))))) (pow b 5)))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2))) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (/ (* b (* (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) (+ (* -1 (/ (* (pow b 2) (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2))) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (cos b)))))) (+ (* -1 (/ (* (pow b 2) (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2))) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))> |
#<alt (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (* -1/120 (* (pow b 5) (sin a)))> |
#<alt (* (pow b 5) (- (* 1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a))))> |
#<alt (* (pow b 5) (- (* -1 (/ (sin a) (pow b 4))) (+ (* -1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a)))))> |
#<alt (* (pow b 5) (- (/ (* (cos a) (cos b)) (pow b 5)) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4))))))> |
#<alt (* -1/120 (* (pow b 5) (sin a)))> |
#<alt (* -1 (* (pow b 5) (- (* -1/6 (/ (sin a) (pow b 2))) (* -1/120 (sin a)))))> |
#<alt (* -1 (* (pow b 5) (- (/ (sin a) (pow b 4)) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2)))))))> |
#<alt (* -1 (* (pow b 5) (- (* -1 (/ (* (cos a) (cos b)) (pow b 5))) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2))))))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* a b)> |
#<alt (* b (+ a (* -1/6 (* a (pow b 2)))))> |
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))> |
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* 1/120 (* (pow b 5) (sin a)))> |
#<alt (* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a))))> |
#<alt (* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4)))))> |
#<alt (* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4)))))> |
#<alt (* 1/120 (* (pow b 5) (sin a)))> |
#<alt (* -1 (* (pow b 5) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2))))))> |
#<alt (* -1 (* (pow b 5) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2)))))))> |
#<alt (* -1 (* (pow b 5) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2)))))))> |
#<alt (* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* a (+ (* -1/6 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))> |
#<alt (* a (+ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (* (pow a 2) (+ (* -1/6 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (* 1/120 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))))))> |
#<alt (* a (+ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (* (pow a 2) (+ (* -1/6 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (* 1/120 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))))))> |
#<alt (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))> |
#<alt (* -1/6 b)> |
#<alt (* b (- (* 1/120 (pow b 2)) 1/6))> |
#<alt (* b (- (* 1/120 (pow b 2)) 1/6))> |
#<alt (* b (- (* 1/120 (pow b 2)) 1/6))> |
#<alt (* 1/120 (pow b 3))> |
#<alt (* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* 1/120 (pow b 3))> |
#<alt (* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))> |
#<alt (* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))> |
#<alt (* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* 1/120 (pow b 2))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | b | @ | inf | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))))) |
| 3.0ms | r | @ | inf | (* r b) |
| 2.0ms | b | @ | -inf | (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)))) |
| 2.0ms | r | @ | 0 | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))))) |
| 2.0ms | a | @ | inf | (* r (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))))) |
| 1× | batch-egg-rewrite |
| 3380× | *-lowering-*.f32 |
| 3380× | *-lowering-*.f64 |
| 3186× | /-lowering-/.f32 |
| 3186× | /-lowering-/.f64 |
| 2364× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 219 |
| 1 | 221 | 207 |
| 2 | 1888 | 176 |
| 0 | 9472 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))) |
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(sin b) |
(* r b) |
(* r (/ (sin b) (+ 1 (* b (* b -1/2))))) |
(/ (sin b) (+ 1 (* b (* b -1/2)))) |
(+ 1 (* b (* b -1/2))) |
(/ (* r (sin b)) (- (cos b) (* (sin b) a))) |
(* r (sin b)) |
(- (cos b) (* (sin b) a)) |
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)))) |
(- (* (cos a) (cos b)) (* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a))) |
(* (cos a) (cos b)) |
(* b -1/2) |
(* (sin b) a) |
(* (* b (+ 1 (* b (* b (+ -1/6 (* (* b b) 1/120)))))) (sin a)) |
(* b (+ -1/6 (* (* b b) 1/120))) |
(* (* b b) 1/120) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))) |
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(*.f64 a (sin.f64 b)) |
(+.f64 (*.f64 (sin.f64 a) b) (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))))) |
(+.f64 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) (sin.f64 a))) |
(fma.f64 b (sin.f64 a) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) (sin.f64 a))) |
(fma.f64 (sin.f64 a) b (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 a) b) (*.f64 (sin.f64 a) b)) (-.f64 (*.f64 (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))))) (*.f64 (*.f64 (sin.f64 a) b) (*.f64 (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 b (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b (sin.f64 a)) (*.f64 b (sin.f64 a))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) (sin.f64 a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) (sin.f64 a))) (*.f64 (*.f64 b (sin.f64 a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) (sin.f64 a)))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))))) |
(*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a))) |
(*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))))) (sin.f64 a)) |
(*.f64 (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))))) b) |
(*.f64 (*.f64 (sin.f64 a) b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))))) |
(+.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) (*.f64 b #s(literal -1/6 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64))) (-.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) (-.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) |
(fma.f64 b #s(literal -1/6 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) |
(fma.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))) (*.f64 b #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) b (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 b b) (*.f64 b #s(literal 1/120 binary64)) (*.f64 b #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 b (*.f64 b b)) (*.f64 b #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) b (*.f64 b #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 b #s(literal 1/120 binary64)) (*.f64 b b) (*.f64 b #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/120 binary64) (*.f64 b #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/1728000 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64))) (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) (-.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) |
(/.f64 (*.f64 b (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/1728000 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 b (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/1728000 binary64))) b) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64))) b) (-.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/1728000 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64))) (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (neg.f64 (-.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) |
(/.f64 (neg.f64 (*.f64 b (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/1728000 binary64))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/1728000 binary64))) b)) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64))) b)) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/1728000 binary64)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/216 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) (-.f64 (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64))) (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) (*.f64 b #s(literal -1/6 binary64)))))) |
(*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64)))) b) |
(*.f64 b (*.f64 b #s(literal 1/120 binary64))) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b #s(literal 1/120 binary64)) b) |
| 1× | egg-herbie |
| 6490× | *-lowering-*.f32 |
| 6490× | *-lowering-*.f64 |
| 3620× | +-lowering-+.f64 |
| 3620× | +-lowering-+.f32 |
| 1876× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 763 | 7193 |
| 1 | 2736 | 6500 |
| 0 | 8821 | 6500 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* 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)))) |
(* 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)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* 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))) |
(+ (* 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))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(* b r) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (* -1/2 (- (* 1/120 r) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))))) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))) (* -1/2 r))))) |
(* -2 (/ (* r (sin b)) (pow b 2))) |
(/ (+ (* -4 (/ (* r (sin b)) (pow b 2))) (* -2 (* r (sin b)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* r (sin b)) (pow b 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow b 2)))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* r (sin b)) (pow b 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow b 2))) (* 8 (/ (* r (sin b)) (pow b 4))))) (pow b 2)) |
(* -2 (/ (* r (sin b)) (pow b 2))) |
(/ (+ (* -4 (/ (* r (sin b)) (pow b 2))) (* -2 (* r (sin b)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* r (sin b)) (pow b 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow b 2)))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* r (sin b)) (pow b 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow b 2))) (* 8 (/ (* r (sin b)) (pow b 4))))) (pow b 2)) |
b |
(* b (+ 1 (* 1/3 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (+ 1/3 (* 7/40 (pow b 2)))))) |
(* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 7/40 (* 11/126 (pow b 2)))))))) |
(* -2 (/ (sin b) (pow b 2))) |
(/ (+ (* -4 (/ (sin b) (pow b 2))) (* -2 (sin b))) (pow b 2)) |
(/ (- (+ (* -8 (/ (sin b) (pow b 4))) (* -2 (sin b))) (* 4 (/ (sin b) (pow b 2)))) (pow b 2)) |
(/ (- (+ (* -16 (/ (sin b) (pow b 6))) (* -2 (sin b))) (+ (* 4 (/ (sin b) (pow b 2))) (* 8 (/ (sin b) (pow b 4))))) (pow b 2)) |
(* -2 (/ (sin b) (pow b 2))) |
(/ (+ (* -4 (/ (sin b) (pow b 2))) (* -2 (sin b))) (pow b 2)) |
(/ (- (+ (* -8 (/ (sin b) (pow b 4))) (* -2 (sin b))) (* 4 (/ (sin b) (pow b 2)))) (pow b 2)) |
(/ (- (+ (* -16 (/ (sin b) (pow b 6))) (* -2 (sin b))) (+ (* 4 (/ (sin b) (pow b 2))) (* 8 (/ (sin b) (pow b 4))))) (pow b 2)) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* -1/2 (pow b 2))) |
(* -1/2 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* -1/2 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(* b r) |
(* b (+ r (* a (* b r)))) |
(* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r)))))) |
(* b (+ r (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (* a (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r))))) (+ (* -1/2 (* a r)) (* 1/6 (* a r)))))) (* -1/6 r)) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r)))))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (/ (* a (* r (pow (sin b) 3))) (pow (cos b) 3)) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (/ (* a (* r (pow (sin b) 4))) (pow (cos b) 4)) (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(* -1 (/ r a)) |
(/ (+ (* -1 r) (* -1 (/ (* r (cos b)) (* a (sin b))))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) (/ (* r (cos b)) (* a (sin b)))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (cos b)) (* a (sin b))) (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) a) |
(* -1 (/ r a)) |
(* -1 (/ (+ r (/ (* r (cos b)) (* a (sin b)))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* r (cos b)) (sin b))) a))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* r (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* r (cos b)) (sin b))) a))) a)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (- (* -1/2 b) a))) |
(+ 1 (* b (- (* b (- (* 1/6 (* a b)) 1/2)) a))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* -1 (* a (sin b)))) |
(* -1 (* a (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* -1 (* a (sin b))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* 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)))) |
(* 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)))) |
(* -120 (/ (* r (sin b)) (* (pow b 5) (sin a)))) |
(/ (+ (* -2400 (/ (* r (sin b)) (* (pow b 2) (sin a)))) (* -120 (/ (* r (sin b)) (sin a)))) (pow b 5)) |
(/ (- (+ (* -120 (/ (* r (sin b)) (sin a))) (* -1 (/ (+ (* -14400 (/ (* r (sin b)) (sin a))) (* 48000 (/ (* r (sin b)) (sin a)))) (pow b 4)))) (* 2400 (/ (* r (sin b)) (* (pow b 2) (sin a))))) (pow b 5)) |
(/ (- (+ (* -14400 (/ (* r (* (cos a) (* (cos b) (sin b)))) (* (pow b 5) (pow (sin a) 2)))) (* -120 (/ (* r (sin b)) (sin a)))) (+ (* -14400 (/ (* r (sin b)) (* (pow b 4) (sin a)))) (+ (* 2400 (/ (* r (sin b)) (* (pow b 2) (sin a)))) (* 48000 (/ (* r (sin b)) (* (pow b 4) (sin a))))))) (pow b 5)) |
(* -120 (/ (* r (sin b)) (* (pow b 5) (sin a)))) |
(* -1 (/ (+ (* 120 (/ (* r (sin b)) (sin a))) (* 2400 (/ (* r (sin b)) (* (pow b 2) (sin a))))) (pow b 5))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -48000 (/ (* r (sin b)) (sin a))) (* 14400 (/ (* r (sin b)) (sin a)))) (pow b 4))) (* 120 (/ (* r (sin b)) (sin a)))) (* -2400 (/ (* r (sin b)) (* (pow b 2) (sin a))))) (pow b 5))) |
(* -1 (/ (- (+ (* 120 (/ (* r (sin b)) (sin a))) (* 14400 (/ (* r (* (cos a) (* (cos b) (sin b)))) (* (pow b 5) (pow (sin a) 2))))) (+ (* -48000 (/ (* r (sin b)) (* (pow b 4) (sin a)))) (+ (* -2400 (/ (* r (sin b)) (* (pow b 2) (sin a)))) (* 14400 (/ (* r (sin b)) (* (pow b 4) (sin a))))))) (pow b 5))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) (/ (* b (* (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) (+ (* -1 (/ (* (pow b 2) (* r (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (cos b)))))) (+ (* -1 (/ (* (pow b 2) (* r (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* -120 (/ (sin b) (* (pow b 5) (sin a)))) |
(/ (+ (* -2400 (/ (sin b) (* (pow b 2) (sin a)))) (* -120 (/ (sin b) (sin a)))) (pow b 5)) |
(/ (- (+ (* -120 (/ (sin b) (sin a))) (* -1 (/ (+ (* -14400 (/ (sin b) (sin a))) (* 48000 (/ (sin b) (sin a)))) (pow b 4)))) (* 2400 (/ (sin b) (* (pow b 2) (sin a))))) (pow b 5)) |
(/ (- (+ (* -14400 (/ (* (cos a) (* (cos b) (sin b))) (* (pow b 5) (pow (sin a) 2)))) (* -120 (/ (sin b) (sin a)))) (+ (* -14400 (/ (sin b) (* (pow b 4) (sin a)))) (+ (* 2400 (/ (sin b) (* (pow b 2) (sin a)))) (* 48000 (/ (sin b) (* (pow b 4) (sin a))))))) (pow b 5)) |
(* -120 (/ (sin b) (* (pow b 5) (sin a)))) |
(* -1 (/ (+ (* 120 (/ (sin b) (sin a))) (* 2400 (/ (sin b) (* (pow b 2) (sin a))))) (pow b 5))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -48000 (/ (sin b) (sin a))) (* 14400 (/ (sin b) (sin a)))) (pow b 4))) (* 120 (/ (sin b) (sin a)))) (* -2400 (/ (sin b) (* (pow b 2) (sin a))))) (pow b 5))) |
(* -1 (/ (- (+ (* 120 (/ (sin b) (sin a))) (* 14400 (/ (* (cos a) (* (cos b) (sin b))) (* (pow b 5) (pow (sin a) 2))))) (+ (* -48000 (/ (sin b) (* (pow b 4) (sin a)))) (+ (* -2400 (/ (sin b) (* (pow b 2) (sin a)))) (* 14400 (/ (sin b) (* (pow b 4) (sin a))))))) (pow b 5))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2))) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (/ (* b (* (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) (+ (* -1 (/ (* (pow b 2) (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2))) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (cos b)))))) (+ (* -1 (/ (* (pow b 2) (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2))) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(cos b) |
(+ (cos b) (* -1 (* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(* -1/120 (* (pow b 5) (sin a))) |
(* (pow b 5) (- (* 1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a)))) |
(* (pow b 5) (- (* -1 (/ (sin a) (pow b 4))) (+ (* -1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a))))) |
(* (pow b 5) (- (/ (* (cos a) (cos b)) (pow b 5)) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4)))))) |
(* -1/120 (* (pow b 5) (sin a))) |
(* -1 (* (pow b 5) (- (* -1/6 (/ (sin a) (pow b 2))) (* -1/120 (sin a))))) |
(* -1 (* (pow b 5) (- (/ (sin a) (pow b 4)) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2))))))) |
(* -1 (* (pow b 5) (- (* -1 (/ (* (cos a) (cos b)) (pow b 5))) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2)))))))) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* a b) |
(* b (+ a (* -1/6 (* a (pow b 2))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2))))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a))))))) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* 1/120 (* (pow b 5) (sin a))) |
(* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a)))) |
(* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4))))) |
(* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4))))) |
(* 1/120 (* (pow b 5) (sin a))) |
(* -1 (* (pow b 5) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2)))))) |
(* -1 (* (pow b 5) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2))))))) |
(* -1 (* (pow b 5) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2))))))) |
(* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* a (+ (* -1/6 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(* a (+ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (* (pow a 2) (+ (* -1/6 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (* 1/120 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))))) |
(* a (+ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (* (pow a 2) (+ (* -1/6 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (* 1/120 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(* -1/6 b) |
(* b (- (* 1/120 (pow b 2)) 1/6)) |
(* b (- (* 1/120 (pow b 2)) 1/6)) |
(* b (- (* 1/120 (pow b 2)) 1/6)) |
(* 1/120 (pow b 3)) |
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* 1/120 (pow b 3)) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120))) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120))) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120))) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
(* 1/120 (pow b 2)) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (*.f64 b (-.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (*.f64 (sin.f64 a) (/.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)))))) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (*.f64 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) r) (pow.f64 (cos.f64 b) #s(literal 2 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 a (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (*.f64 b (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (sin.f64 a) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))))) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(cos a) |
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(cos b) |
(cos.f64 b) |
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b |
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(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
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(sin b) |
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(sin b) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))) (* -1/2 r))))) |
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(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (* -1/2 (- (* 1/120 r) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))))) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))) (* -1/2 r))))) |
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(* -2 (/ (* r (sin b)) (pow b 2))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -2 binary64)) (*.f64 b b)) |
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(/.f64 (+.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 r (sin.f64 b))) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ (* -8 (/ (* r (sin b)) (pow b 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 r (sin.f64 b))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 r (sin.f64 b))) (*.f64 b b)))) (*.f64 b b)) |
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(* -2 (/ (* r (sin b)) (pow b 2))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -2 binary64)) (*.f64 b b)) |
(/ (+ (* -4 (/ (* r (sin b)) (pow b 2))) (* -2 (* r (sin b)))) (pow b 2)) |
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(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 r (sin.f64 b))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 r (sin.f64 b))) (*.f64 b b)))) (*.f64 b b)) |
(/ (- (+ (* -16 (/ (* r (sin b)) (pow b 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow b 2))) (* 8 (/ (* r (sin b)) (pow b 4))))) (pow b 2)) |
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b |
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(* -2 (/ (sin b) (pow b 2))) |
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(/ (- (+ (* -8 (/ (sin b) (pow b 4))) (* -2 (sin b))) (* 4 (/ (sin b) (pow b 2)))) (pow b 2)) |
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(/ (- (+ (* -16 (/ (sin b) (pow b 6))) (* -2 (sin b))) (+ (* 4 (/ (sin b) (pow b 2))) (* 8 (/ (sin b) (pow b 4))))) (pow b 2)) |
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(* -2 (/ (sin b) (pow b 2))) |
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(* -120 (/ (sin b) (* (pow b 5) (sin a)))) |
(/.f64 (*.f64 #s(literal -120 binary64) (sin.f64 b)) (*.f64 (sin.f64 a) (pow.f64 b #s(literal 5 binary64)))) |
(* -1 (/ (+ (* 120 (/ (sin b) (sin a))) (* 2400 (/ (sin b) (* (pow b 2) (sin a))))) (pow b 5))) |
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(* -1 (/ (- (+ (* -1 (/ (+ (* -48000 (/ (sin b) (sin a))) (* 14400 (/ (sin b) (sin a)))) (pow b 4))) (* 120 (/ (sin b) (sin a)))) (* -2400 (/ (sin b) (* (pow b 2) (sin a))))) (pow b 5))) |
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(* -1 (/ (- (+ (* 120 (/ (sin b) (sin a))) (* 14400 (/ (* (cos a) (* (cos b) (sin b))) (* (pow b 5) (pow (sin a) 2))))) (+ (* -48000 (/ (sin b) (* (pow b 4) (sin a)))) (+ (* -2400 (/ (sin b) (* (pow b 2) (sin a)))) (* 14400 (/ (sin b) (* (pow b 4) (sin a))))))) (pow b 5))) |
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(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) |
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (/ (* b (* (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) (+ (* -1 (/ (* (pow b 2) (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2))) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (cos b)))))) (+ (* -1 (/ (* (pow b 2) (* (sin b) (pow (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 2))) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
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(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(-.f64 (cos.f64 b) (*.f64 (*.f64 b a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) |
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(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(- (* (cos a) (cos b)) (* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)))) |
(* -1/120 (* (pow b 5) (sin a))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) |
(* (pow b 5) (- (* 1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a)))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (*.f64 b b)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64)))) |
(* (pow b 5) (- (* -1 (/ (sin a) (pow b 4))) (+ (* -1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a))))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (*.f64 b b)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (/.f64 (sin.f64 a) (pow.f64 b #s(literal 4 binary64))))) |
(* (pow b 5) (- (/ (* (cos a) (cos b)) (pow b 5)) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4)))))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 b #s(literal 5 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (*.f64 b b)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (/.f64 (sin.f64 a) (pow.f64 b #s(literal 4 binary64)))))) |
(* -1/120 (* (pow b 5) (sin a))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) |
(* -1 (* (pow b 5) (- (* -1/6 (/ (sin a) (pow b 2))) (* -1/120 (sin a))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (*.f64 (sin.f64 a) #s(literal 1/120 binary64)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/6 binary64)) (*.f64 b b))))) |
(* -1 (* (pow b 5) (- (/ (sin a) (pow b 4)) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2))))))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (*.f64 b b)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (/.f64 (sin.f64 a) (pow.f64 b #s(literal 4 binary64))))) |
(* -1 (* (pow b 5) (- (* -1 (/ (* (cos a) (cos b)) (pow b 5))) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2)))))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64)))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (*.f64 b b)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (/.f64 (sin.f64 a) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+.f64 (cos.f64 b) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (cos.f64 b) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) #s(literal 1/24 binary64))))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+.f64 (cos.f64 a) (*.f64 (*.f64 b b) (*.f64 (cos.f64 a) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) #s(literal -1/2 binary64))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (cos.f64 a) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) #s(literal 1/24 binary64))))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(* a b) |
(*.f64 b a) |
(* b (+ a (* -1/6 (* a (pow b 2))))) |
(*.f64 b (+.f64 a (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) a))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2))))))) |
(*.f64 b (+.f64 a (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 a (*.f64 b b))))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a))))))) |
(*.f64 b (+.f64 a (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a (*.f64 b b))) (*.f64 a #s(literal 1/120 binary64)))))))) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (sin.f64 a))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* 1/120 (* (pow b 5) (sin a))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) |
(* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (* 1/120 (sin a)))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (*.f64 (sin.f64 a) #s(literal 1/120 binary64)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/6 binary64)) (*.f64 b b)))) |
(* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4))))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (/.f64 (sin.f64 a) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 (sin.f64 a) #s(literal 1/120 binary64)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/6 binary64)) (*.f64 b b))))) |
(* (pow b 5) (+ (* -1/6 (/ (sin a) (pow b 2))) (+ (* 1/120 (sin a)) (/ (sin a) (pow b 4))))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (/.f64 (sin.f64 a) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 (sin.f64 a) #s(literal 1/120 binary64)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/6 binary64)) (*.f64 b b))))) |
(* 1/120 (* (pow b 5) (sin a))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) |
(* -1 (* (pow b 5) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (*.f64 b b)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64)))) |
(* -1 (* (pow b 5) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2))))))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (*.f64 b b)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (/.f64 (sin.f64 a) (pow.f64 b #s(literal 4 binary64)))))) |
(* -1 (* (pow b 5) (+ (* -1 (/ (sin a) (pow b 4))) (+ (* -1/120 (sin a)) (* 1/6 (/ (sin a) (pow b 2))))))) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (*.f64 b b)) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (/.f64 (sin.f64 a) (pow.f64 b #s(literal 4 binary64)))))) |
(* a (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 (*.f64 b a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(* a (+ (* -1/6 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) |
(*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(* a (+ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (* (pow a 2) (+ (* -1/6 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (* 1/120 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))))) |
(*.f64 a (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (*.f64 (*.f64 a a) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 a a))))))) |
(* a (+ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (* (pow a 2) (+ (* -1/6 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (* 1/120 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))))))) |
(*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) #s(literal 1/120 binary64))))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* b (* (sin a) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* b (- (* 1/120 (pow b 2)) 1/6)) |
(*.f64 b (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* b (- (* 1/120 (pow b 2)) 1/6)) |
(*.f64 b (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* b (- (* 1/120 (pow b 2)) 1/6)) |
(*.f64 b (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* 1/120 (pow b 3)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) b) (*.f64 b b)) |
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b)))) |
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b)))) |
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b)))) |
(* 1/120 (pow b 3)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) b) (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120))) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal -1/120 binary64)))) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120))) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal -1/120 binary64)))) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120))) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal -1/120 binary64)))) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
Compiled 34737 to 2975 computations (91.4% saved)
90 alts after pruning (84 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1082 | 22 | 1104 |
| Fresh | 10 | 62 | 72 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1094 | 90 | 1184 |
| Status | Accuracy | Program |
|---|---|---|
| 41.7% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (sin.f64 b)) | |
| 75.7% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 50.6% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| ✓ | 57.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 8.6% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a))) | |
| 29.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) | |
| 60.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 51.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 36.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) | |
| 31.2% | (/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 47.1% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| 46.9% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 75.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 60.5% | (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) | |
| 46.8% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| ▶ | 60.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
| 50.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))) | |
| 57.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) | |
| 60.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) | |
| ▶ | 5.4% | (-.f64 #s(literal 0 binary64) (/.f64 r a)) |
| 75.7% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) | |
| 98.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 98.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 60.5% | (*.f64 (/.f64 r (cos.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 60.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 41.7% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.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) (sin.f64 b)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) | |
| 99.4% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) | |
| 98.8% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) r)) | |
| 99.4% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)) | |
| ▶ | 75.7% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
| 51.0% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) r)) | |
| 60.6% | (*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) | |
| 60.7% | (*.f64 (tan.f64 b) r) | |
| 33.6% | (*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| 19.8% | (*.f64 r (pow.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) #s(literal 2 binary64))) | |
| 31.7% | (*.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (neg.f64 (/.f64 (-.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 (+.f64 b a))))))) | |
| 31.0% | (*.f64 r (/.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 b))) | |
| 64.5% | (*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 41.1% | (*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 b))) | |
| 41.8% | (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))) | |
| 41.1% | (*.f64 r (/.f64 (*.f64 (-.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) (sin.f64 b))) (cos.f64 b))) | |
| 46.2% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) | |
| 46.5% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) | |
| 31.0% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) | |
| 46.6% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) | |
| 46.4% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) | |
| 31.2% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) | |
| 46.7% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| 62.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) | |
| 52.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) | |
| 75.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))))) | |
| 98.7% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.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) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 98.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| ▶ | 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 48.1% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 b (*.f64 b #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 47.3% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (sin.f64 b))) (sin.f64 a))))) | |
| 49.2% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))) (sin.f64 a))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 52.3% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 62.0% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 47.8% | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))))) | |
| ✓ | 60.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
| 51.0% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 32.1% | (*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) | |
| 46.9% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 31.7% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))) | |
| 41.1% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 b)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) | |
| 41.1% | (*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b)))) | |
| 98.8% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 31.5% | (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) | |
| 31.5% | (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) | |
| ▶ | 43.0% | (*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
| 28.1% | (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))) | |
| ✓ | 32.1% | (*.f64 r b) |
| 30.9% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) | |
| 31.1% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) | |
| 31.2% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) | |
| ✓ | 46.9% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 31.6% | (*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) | |
| 31.5% | (*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) | |
| 46.9% | (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 29.9% | (*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) | |
| 32.3% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 3991 to 2553 computations (36% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 13440 | (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
| ✓ | cost-diff | 13440 | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
| ✓ | cost-diff | 13440 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r) |
| ✓ | cost-diff | 13696 | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| ✓ | cost-diff | 0 | (*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
| ✓ | cost-diff | 0 | (tan.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
| ✓ | cost-diff | 0 | (/.f64 r a) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (/.f64 r a)) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
| ✓ | cost-diff | 256 | (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | cost-diff | 256 | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 2990× | *-lowering-*.f32 |
| 2990× | *-lowering-*.f64 |
| 1298× | /-lowering-/.f32 |
| 1298× | /-lowering-/.f64 |
| 1006× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 233 |
| 1 | 91 | 226 |
| 2 | 211 | 196 |
| 3 | 746 | 194 |
| 4 | 3268 | 194 |
| 5 | 5871 | 194 |
| 0 | 8262 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a))))) |
r |
(/ (sin b) (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a)))) |
(sin b) |
b |
(- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a))) |
(* (/ 1 (/ 1 (cos a))) (cos b)) |
(/ 1 (/ 1 (cos a))) |
1 |
(/ 1 (cos a)) |
(cos a) |
a |
(cos b) |
(* (sin b) (sin a)) |
(sin a) |
(- 0 (/ r a)) |
0 |
(/ r a) |
r |
a |
(/ 1 (/ (/ 1 (tan b)) r)) |
1 |
(/ (/ 1 (tan b)) r) |
(/ 1 (tan b)) |
(tan b) |
b |
r |
(* r (fabs (/ (sin b) (cos (+ b a))))) |
r |
(fabs (/ (sin b) (cos (+ b a)))) |
(/ (sin b) (cos (+ b a))) |
(sin b) |
b |
(cos (+ b a)) |
(+ b a) |
a |
(* (- 0 (sin b)) (* (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) r)) |
(- 0 (sin b)) |
0 |
(sin b) |
b |
(* (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) r) |
(/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) |
-1 |
(* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b)))) |
(* (cos (- a b)) (cos (+ b a))) |
(cos (- a b)) |
(- a b) |
a |
(cos (+ b a)) |
(+ b a) |
(/ 1 (cos (- a b))) |
1 |
r |
| Outputs |
|---|
(* r (/ (sin b) (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(/ (sin b) (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(sin b) |
(sin.f64 b) |
b |
(- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (/ 1 (/ 1 (cos a))) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(/ 1 (/ 1 (cos a))) |
(cos.f64 a) |
1 |
#s(literal 1 binary64) |
(/ 1 (cos a)) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
(cos a) |
(cos.f64 a) |
a |
(cos b) |
(cos.f64 b) |
(* (sin b) (sin a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin a) |
(sin.f64 a) |
(- 0 (/ r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
0 |
#s(literal 0 binary64) |
(/ r a) |
(/.f64 r a) |
r |
a |
(/ 1 (/ (/ 1 (tan b)) r)) |
(*.f64 r (tan.f64 b)) |
1 |
#s(literal 1 binary64) |
(/ (/ 1 (tan b)) r) |
(/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))) |
(/ 1 (tan b)) |
(/.f64 #s(literal 1 binary64) (tan.f64 b)) |
(tan b) |
(tan.f64 b) |
b |
r |
(* r (fabs (/ (sin b) (cos (+ b a))))) |
(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
r |
(fabs (/ (sin b) (cos (+ b a)))) |
(fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/ (sin b) (cos (+ b a))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin b) |
(sin.f64 b) |
b |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
a |
(* (- 0 (sin b)) (* (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(- 0 (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
0 |
#s(literal 0 binary64) |
(sin b) |
(sin.f64 b) |
b |
(* (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) r) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) |
(/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
-1 |
#s(literal -1 binary64) |
(* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b)))) |
(cos.f64 (+.f64 b a)) |
(* (cos (- a b)) (cos (+ b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(cos (- a b)) |
(cos.f64 (-.f64 a b)) |
(- a b) |
(-.f64 a b) |
a |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
(/ 1 (cos (- a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) |
1 |
#s(literal 1 binary64) |
r |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
| ✓ | accuracy | 99.5% | (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 75.9% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 75.7% | (cos.f64 (-.f64 a b)) |
| ✓ | accuracy | 100.0% | (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
| ✓ | accuracy | 99.7% | (*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 75.9% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (tan.f64 b) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (tan.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
| ✓ | accuracy | 100.0% | (/.f64 r a) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (/.f64 r a)) |
| ✓ | accuracy | 99.7% | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
| ✓ | accuracy | 99.7% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 b) (sin.f64 a)) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
| 275.0ms | 178× | 1 | valid |
| 36.0ms | 78× | 0 | valid |
Compiled 284 to 38 computations (86.6% saved)
ival-cos: 42.0ms (20.9% of total)ival-mult: 39.0ms (19.4% of total)ival-div: 29.0ms (14.4% of total)ival-tan: 26.0ms (12.9% of total)ival-sin: 24.0ms (11.9% of total)ival-sub: 18.0ms (9% of total)backward-pass: 13.0ms (6.5% of total)ival-add: 7.0ms (3.5% of total)ival-fabs: 3.0ms (1.5% of total)const: 1.0ms (0.5% of total)| Inputs |
|---|
#<alt (* r (/ (sin b) (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a)))))> |
#<alt (/ (sin b) (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a))))> |
#<alt (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a)))> |
#<alt (* (/ 1 (/ 1 (cos a))) (cos b))> |
#<alt (- 0 (/ r a))> |
#<alt (/ r a)> |
#<alt (/ 1 (/ (/ 1 (tan b)) r))> |
#<alt (/ (/ 1 (tan b)) r)> |
#<alt (/ 1 (tan b))> |
#<alt (tan b)> |
#<alt (* r (fabs (/ (sin b) (cos (+ b a)))))> |
#<alt (fabs (/ (sin b) (cos (+ b a))))> |
#<alt (/ (sin b) (cos (+ b a)))> |
#<alt (sin b)> |
#<alt (* (- 0 (sin b)) (* (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) r))> |
#<alt (* (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) r)> |
#<alt (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b)))))> |
#<alt (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))> |
#<alt (* (sin b) (sin a))> |
#<alt (cos (+ b a))> |
#<alt (cos (- a b))> |
#<alt (* (cos (- a b)) (cos (+ b a)))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (/ r a)> |
#<alt (* b r)> |
#<alt (* b (+ r (* 1/3 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ 1 (* b r))> |
#<alt (/ (+ (* -1/3 (/ (pow b 2) r)) (/ 1 r)) b)> |
#<alt (/ (+ (* (pow b 2) (- (* -1/45 (/ (pow b 2) r)) (* 1/3 (/ 1 r)))) (/ 1 r)) b)> |
#<alt (/ (+ (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (/ (pow b 2) r)) (* 1/45 (/ 1 r)))) (* 1/3 (/ 1 r)))) (/ 1 r)) b)> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ (cos b) (* r (sin b)))> |
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (* -1/3 (pow b 2))) b)> |
#<alt (/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b)> |
#<alt (/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b)> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt b> |
#<alt (* b (+ 1 (* 1/3 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))> |
#<alt (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (/ (sin b) (cos b))> |
#<alt (/ (sin b) (cos b))> |
#<alt (/ (sin b) (cos b))> |
#<alt (/ (sin b) (cos b))> |
#<alt (/ (sin b) (cos b))> |
#<alt (/ (sin b) (cos b))> |
#<alt (/ (sin b) (cos b))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (- a (* -1 b))))))> |
#<alt (* r (fabs (/ (sin b) (cos (- a (* -1 b))))))> |
#<alt (* r (fabs (/ (sin b) (cos (- a (* -1 b))))))> |
#<alt (* r (fabs (/ (sin b) (cos (- a (* -1 b))))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (+ a b)))))> |
#<alt (* r (fabs (/ (sin b) (cos (- b (* -1 a))))))> |
#<alt (* r (fabs (/ (sin b) (cos (- b (* -1 a))))))> |
#<alt (* r (fabs (/ (sin b) (cos (- b (* -1 a))))))> |
#<alt (* r (fabs (/ (sin b) (cos (- b (* -1 a))))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (- a (* -1 b)))))> |
#<alt (fabs (/ (sin b) (cos (- a (* -1 b)))))> |
#<alt (fabs (/ (sin b) (cos (- a (* -1 b)))))> |
#<alt (fabs (/ (sin b) (cos (- a (* -1 b)))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (+ a b))))> |
#<alt (fabs (/ (sin b) (cos (- b (* -1 a)))))> |
#<alt (fabs (/ (sin b) (cos (- b (* -1 a)))))> |
#<alt (fabs (/ (sin b) (cos (- b (* -1 a)))))> |
#<alt (fabs (/ (sin b) (cos (- b (* -1 a)))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (* -1 (/ r (cos b)))> |
#<alt (+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* 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)))))))))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos a)))> |
#<alt (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* 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)))))))))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (/ -1 (cos b))> |
#<alt (- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b)))> |
#<alt (- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b)))> |
#<alt (- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (- b (* -1 a))))> |
#<alt (/ -1 (cos (- b (* -1 a))))> |
#<alt (/ -1 (cos (- b (* -1 a))))> |
#<alt (/ -1 (cos (- b (* -1 a))))> |
#<alt (/ -1 (cos a))> |
#<alt (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))> |
#<alt (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))> |
#<alt (- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (+ a b)))> |
#<alt (/ -1 (cos (- a (* -1 b))))> |
#<alt (/ -1 (cos (- a (* -1 b))))> |
#<alt (/ -1 (cos (- a (* -1 b))))> |
#<alt (/ -1 (cos (- a (* -1 b))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (neg b))> |
#<alt (+ (cos (neg b)) (* -1 (* a (sin (neg b)))))> |
#<alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))> |
#<alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* b (sin a)))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (+ a (* -1 b)))> |
#<alt (cos (+ a (* -1 b)))> |
#<alt (cos (+ a (* -1 b)))> |
#<alt (cos (+ a (* -1 b)))> |
#<alt (* (cos b) (cos (neg b)))> |
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))> |
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))> |
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))> |
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))> |
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))> |
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))> |
#<alt (pow (cos a) 2)> |
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))> |
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))> |
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | r | @ | inf | (- 0 (/ r a)) |
| 2.0ms | a | @ | inf | (* r (fabs (/ (sin b) (cos (+ b a))))) |
| 1.0ms | b | @ | inf | (/ (/ 1 (tan b)) r) |
| 1.0ms | r | @ | 0 | (/ 1 (/ (/ 1 (tan b)) r)) |
| 1.0ms | a | @ | 0 | (* (cos (- a b)) (cos (+ b a))) |
| 1× | batch-egg-rewrite |
| 4308× | *-lowering-*.f32 |
| 4308× | *-lowering-*.f64 |
| 3486× | /-lowering-/.f32 |
| 3486× | /-lowering-/.f64 |
| 2078× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 144 |
| 1 | 239 | 121 |
| 2 | 1888 | 121 |
| 0 | 9032 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a))))) |
(/ (sin b) (- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a)))) |
(- (* (/ 1 (/ 1 (cos a))) (cos b)) (* (sin b) (sin a))) |
(* (/ 1 (/ 1 (cos a))) (cos b)) |
(- 0 (/ r a)) |
(/ r a) |
(/ 1 (/ (/ 1 (tan b)) r)) |
(/ (/ 1 (tan b)) r) |
(/ 1 (tan b)) |
(tan b) |
(* r (fabs (/ (sin b) (cos (+ b a))))) |
(fabs (/ (sin b) (cos (+ b a)))) |
(/ (sin b) (cos (+ b a))) |
(sin b) |
(* (- 0 (sin b)) (* (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) r)) |
(* (/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) r) |
(/ -1 (* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b))))) |
(* (* (cos (- a b)) (cos (+ b a))) (/ 1 (cos (- a b)))) |
(* (sin b) (sin a)) |
(cos (+ b a)) |
(cos (- a b)) |
(* (cos (- a b)) (cos (+ b a))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal 0 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (*.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (*.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) r)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) r)) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 b)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) (sin.f64 b)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (-.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 (-.f64 a b))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64)) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.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 (+.f64 b a)))) (sin.f64 b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
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(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64)) |
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(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
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(+.f64 #s(literal 0 binary64) (sin.f64 b)) |
(sin.f64 b) |
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(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) |
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(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 #s(literal -1 binary64) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r) |
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(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
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(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
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(cos.f64 (+.f64 b a)) |
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(fma.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 a) (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)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (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)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 b a)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (+.f64 b a)))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 (-.f64 a b)))) |
(fma.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)) (+.f64 (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)) (*.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))) |
(fma.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) |
(fma.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (-.f64 a b)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)) (*.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))) |
(fma.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (cos.f64 (-.f64 a b)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))) |
(fma.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (-.f64 a b)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 a)) (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)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 a)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 b)) (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) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 b)) (cos.f64 a) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 4 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (cos.f64 (-.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)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 b a))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (+.f64 b a))) (cos.f64 (-.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) (pow.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 b)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) |
(*.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 5186× | *-lowering-*.f32 |
| 5186× | *-lowering-*.f64 |
| 2530× | +-lowering-+.f64 |
| 2530× | +-lowering-+.f32 |
| 1522× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 576 | 5880 |
| 1 | 2073 | 5509 |
| 2 | 7474 | 5509 |
| 0 | 8395 | 5509 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* b r) (cos a)) |
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(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (cos b)) |
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(cos a) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos b) |
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(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
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(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* -1 (/ r a)) |
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(* b (+ r (* 1/3 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r))))) |
(* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r))))))) |
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(/ (+ (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (/ (pow b 2) r)) (* 1/45 (/ 1 r)))) (* 1/3 (/ 1 r)))) (/ 1 r)) b) |
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(/ 1 b) |
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b |
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(fabs (/ (sin b) (cos (- b (* -1 a))))) |
(fabs (/ (sin b) (cos (- b (* -1 a))))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (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))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
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(/ (sin b) (cos (+ a b))) |
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(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* 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)))) |
(* 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)))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* 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 (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* 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 (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(/ -1 (cos b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (neg b)) |
(+ (cos (neg b)) (* -1 (* a (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos a) |
(+ (cos a) (* b (sin a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a))))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a))))) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(* (cos b) (cos (neg b))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b)))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b)))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b)))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(pow (cos a) 2) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 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)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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(/ (sin b) (cos (- b (* -1 a)))) |
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(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
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(sin b) |
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(sin b) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
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(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
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(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos a)) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
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(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(+.f64 (*.f64 b (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
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(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) |
(cos b) |
(cos.f64 b) |
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(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
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(cos (+ a b)) |
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(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
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(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (sin.f64 a))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
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(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(*.f64 b (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (sin.f64 a)) (*.f64 (*.f64 (sin.f64 a) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
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(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
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(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(cos a) |
(cos.f64 a) |
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
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(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
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(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
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(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (neg b)) |
(cos.f64 b) |
(+ (cos (neg b)) (* -1 (* a (sin (neg b))))) |
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) |
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (sin.f64 b) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))) |
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) |
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(cos (- a b)) |
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(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* b (sin a))) |
(+.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a))))) |
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(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a))))) |
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(cos (- a b)) |
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(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(* (cos b) (cos (neg b))) |
(pow.f64 (cos.f64 b) #s(literal 2 binary64)) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b)))) |
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(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b)))) |
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(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b)))) |
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(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
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(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 b (-.f64 #s(literal 0 binary64) b))) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
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(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
Compiled 60797 to 6292 computations (89.7% saved)
104 alts after pruning (96 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2004 | 32 | 2036 |
| Fresh | 15 | 64 | 79 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 2022 | 104 | 2126 |
| Status | Accuracy | Program |
|---|---|---|
| 41.7% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (sin.f64 b)) | |
| 75.7% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 1.5% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) | |
| 5.8% | (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) | |
| 43.0% | (/.f64 (*.f64 (fabs.f64 (sin.f64 b)) r) (fabs.f64 (cos.f64 (+.f64 b a)))) | |
| 50.6% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| ✓ | 57.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 29.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) | |
| 60.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 51.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 36.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) | |
| 31.2% | (/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 47.1% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| 46.9% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 60.5% | (/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) | |
| 75.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 60.5% | (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) | |
| 46.8% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| 2.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) | |
| 31.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) | |
| 31.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) | |
| ✓ | 60.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
| 60.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) | |
| 31.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) | |
| 50.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))) | |
| 57.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) | |
| 31.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) | |
| 31.5% | (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 r (tan.f64 b))) #s(literal -1 binary64)))) | |
| 5.4% | (/.f64 #s(literal -1 binary64) (/.f64 a r)) | |
| 2.5% | (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a r)) #s(literal -1 binary64)))) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 60.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 41.7% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.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) (sin.f64 b)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) | |
| 99.4% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) | |
| 98.8% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) r)) | |
| 98.8% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) r)) | |
| 99.4% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)) | |
| 99.2% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) | |
| 61.5% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) | |
| 53.2% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) | |
| 99.2% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) | |
| 60.6% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) r)) | |
| 51.0% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) r)) | |
| 2.2% | (*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) | |
| 60.6% | (*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) | |
| 60.7% | (*.f64 (tan.f64 b) r) | |
| 33.6% | (*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| 19.8% | (*.f64 r (pow.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) #s(literal 2 binary64))) | |
| 31.7% | (*.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (neg.f64 (/.f64 (-.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 (+.f64 b a))))))) | |
| 31.0% | (*.f64 r (/.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 b))) | |
| 64.5% | (*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 41.1% | (*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 b))) | |
| 41.8% | (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))) | |
| 46.2% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) | |
| 46.5% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) | |
| 31.0% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) | |
| 46.6% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) | |
| 46.4% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) | |
| 31.2% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) | |
| 46.7% | (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| 62.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) | |
| 52.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) | |
| 98.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (cos.f64 b))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (cos.f64 b)))))) | |
| 98.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 98.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) | |
| 75.1% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| ✓ | 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 48.1% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 b (*.f64 b #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 47.3% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (sin.f64 b))) (sin.f64 a))))) | |
| 49.2% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))) (sin.f64 a))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 62.0% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 52.3% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 47.8% | (*.f64 r (/.f64 (sin.f64 b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))))) | |
| ✓ | 60.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
| 51.0% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 32.1% | (*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) | |
| 46.9% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 31.7% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))) | |
| 41.1% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 b)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) | |
| 98.8% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 31.5% | (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) | |
| 31.5% | (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) | |
| 5.4% | (*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) | |
| 36.3% | (*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) | |
| 31.3% | (*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) | |
| ✓ | 32.1% | (*.f64 r b) |
| 30.9% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) | |
| 31.1% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) | |
| 31.2% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) | |
| ✓ | 46.9% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 31.6% | (*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) | |
| 46.9% | (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 29.9% | (*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) | |
| 5.4% | (neg.f64 (/.f64 r a)) | |
| 32.3% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 5371 to 2101 computations (60.9% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) |
(/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a r)) #s(literal -1 binary64)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 r (cos.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) |
(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) |
(*.f64 r (pow.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) #s(literal 2 binary64))) |
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))) |
(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 r (tan.f64 b))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 b))) |
(*.f64 r (/.f64 (*.f64 (-.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) (sin.f64 b))) (cos.f64 b))) |
(*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))) |
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 b)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) |
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (sin.f64 b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.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) (sin.f64 b)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
(/.f64 (*.f64 (fabs.f64 (sin.f64 b)) r) (fabs.f64 (cos.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(*.f64 r (/.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (sin.f64 a))))) |
(*.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (neg.f64 (/.f64 (-.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 (+.f64 b a))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 b (*.f64 b #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) |
(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) |
(*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (cos.f64 b))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (cos.f64 b)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) r)) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (sin.f64 b))) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 1 binary64))) (*.f64 (-.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) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.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) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
5 calls:
| 54.0ms | b |
| 51.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 50.0ms | r |
| 46.0ms | a |
| 46.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
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(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
5 calls:
| 76.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 56.0ms | r |
| 51.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 49.0ms | b |
| 39.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) |
(/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a r)) #s(literal -1 binary64)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 r (cos.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) |
(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) |
(*.f64 r (pow.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) #s(literal 2 binary64))) |
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64)))) |
(*.f64 r (fabs.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 r (tan.f64 b))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 b))) |
(*.f64 r (/.f64 (*.f64 (-.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) (sin.f64 b))) (cos.f64 b))) |
(*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))) |
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 b)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) |
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (sin.f64 b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.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) (sin.f64 b)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
(/.f64 (*.f64 (fabs.f64 (sin.f64 b)) r) (fabs.f64 (cos.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 b (sin.f64 a))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(*.f64 r (/.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (sin.f64 a))))) |
(*.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (neg.f64 (/.f64 (-.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 (+.f64 b a))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b #s(literal 1/120 binary64))))))) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 b (*.f64 b #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) |
(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
5 calls:
| 43.0ms | r |
| 39.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 38.0ms | a |
| 37.0ms | b |
| 37.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 1 | r |
| 75.8% | 1 | a |
| 75.8% | 1 | b |
| 75.8% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 75.8% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) |
(/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 90.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 23.0ms | a |
| 23.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 17.0ms | r |
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 1 | r |
| 75.8% | 1 | a |
| 75.8% | 1 | b |
| 75.8% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 75.8% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) |
(/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) |
(*.f64 (tan.f64 b) r) |
3 calls:
| 18.0ms | r |
| 16.0ms | a |
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 3 | b |
| 60.7% | 1 | r |
| 75.3% | 3 | a |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) |
(/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (tan.f64 b) r) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) |
(/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(*.f64 r (/.f64 (sin.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (tan.f64 b) r) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) |
(/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
| Outputs |
|---|
(*.f64 (tan.f64 b) r) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (tan.f64 b) r) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) |
(/.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
| Outputs |
|---|
(*.f64 (tan.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (tan.f64 b) r) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (tan.f64 b) r) |
| Outputs |
|---|
(*.f64 (tan.f64 b) r) |
3 calls:
| 9.0ms | b |
| 9.0ms | r |
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 1 | r |
| 60.7% | 1 | a |
| 60.7% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/3 binary64))) b) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b #s(literal 2/15 binary64)))))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal -1/45 binary64))))) b) r)) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a #s(literal -1/720 binary64)))))))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 #s(literal -1 binary64) (/.f64 a r))))) |
(*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 b b) #s(literal -2/945 binary64)))))))) b) r)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (*.f64 (/.f64 r a) (/.f64 (/.f64 r a) (/.f64 a r))))) (*.f64 (/.f64 (/.f64 r a) (/.f64 a r)) (/.f64 (/.f64 r a) (/.f64 a r)))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64))))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64)))))) (+.f64 (*.f64 r #s(literal 1/24 binary64)) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))) |
| Outputs |
|---|
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
3 calls:
| 10.0ms | b |
| 8.0ms | a |
| 8.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.1% | 1 | a |
| 32.1% | 1 | b |
| 32.1% | 1 | r |
Compiled 12 to 9 computations (25% saved)
Total -18.7b remaining (-43.1%)
Threshold costs -18.7b (-43.1%)
| Inputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r a)) |
(-.f64 #s(literal 0 binary64) (/.f64 r a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a r)) |
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) r)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (+.f64 r (*.f64 r (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/3 binary64)))))) |
| Outputs |
|---|
(*.f64 r b) |
3 calls:
| 4.0ms | b |
| 4.0ms | r |
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.1% | 1 | r |
| 32.1% | 1 | a |
| 32.1% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.046238676860642e-6 | 1734.9380484565418 |
| 8.0ms | -0.07248667189862248 | -0.06019340808468073 |
| 21.0ms | 100× | 1 | valid |
| 6.0ms | 76× | 0 | valid |
Compiled 400 to 283 computations (29.3% saved)
ival-cos: 6.0ms (32.1% of total)ival-div: 4.0ms (21.4% of total)ival-sin: 3.0ms (16% of total)ival-add: 2.0ms (10.7% of total)ival-mult: 2.0ms (10.7% of total)backward-pass: 1.0ms (5.3% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 2.046238676860642e-6 | 1734.9380484565418 |
| 5.0ms | -0.07248667189862248 | -0.06019340808468073 |
| 21.0ms | 89× | 1 | valid |
| 6.0ms | 87× | 0 | valid |
Compiled 334 to 239 computations (28.4% saved)
ival-div: 7.0ms (36.2% of total)ival-cos: 5.0ms (25.9% of total)ival-sin: 3.0ms (15.5% of total)ival-add: 2.0ms (10.3% of total)ival-mult: 2.0ms (10.3% of total)backward-pass: 1.0ms (5.2% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 2.046238676860642e-6 | 1734.9380484565418 |
| 5.0ms | -0.07248667189862248 | -0.06019340808468073 |
| 15.0ms | 85× | 1 | valid |
| 7.0ms | 91× | 0 | valid |
Compiled 246 to 173 computations (29.7% saved)
ival-cos: 4.0ms (28.6% of total)ival-sin: 3.0ms (21.5% of total)ival-add: 2.0ms (14.3% of total)ival-mult: 2.0ms (14.3% of total)ival-div: 1.0ms (7.2% of total)backward-pass: 1.0ms (7.2% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.046238676860642e-6 | 1734.9380484565418 |
| 5.0ms | -0.07248667189862248 | -0.06019340808468073 |
| 16.0ms | 80× | 1 | valid |
| 7.0ms | 96× | 0 | valid |
Compiled 238 to 167 computations (29.8% saved)
ival-cos: 5.0ms (33.3% of total)ival-add: 3.0ms (20% of total)ival-sin: 3.0ms (20% of total)ival-mult: 2.0ms (13.3% of total)ival-div: 1.0ms (6.7% of total)backward-pass: 1.0ms (6.7% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.046238676860642e-6 | 1734.9380484565418 |
| 5.0ms | -0.07248667189862248 | -0.06019340808468073 |
| 14.0ms | 77× | 1 | valid |
| 10.0ms | 99× | 0 | valid |
Compiled 216 to 156 computations (27.8% saved)
ival-sin: 5.0ms (31.8% of total)ival-cos: 4.0ms (25.5% of total)ival-add: 2.0ms (12.7% of total)ival-div: 2.0ms (12.7% of total)ival-mult: 2.0ms (12.7% of total)backward-pass: 1.0ms (6.4% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 48× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-mul-1_binary64 |
| 4× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 214 |
| 1 | 121 | 214 |
| 2 | 132 | 214 |
| 3 | 137 | 214 |
| 4 | 140 | 214 |
| 5 | 141 | 214 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 5188146770730811/144115188075855872 binary64)) (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 1498797955988901/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 700976274800963/73786976294838206464 binary64)) (*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5902958103587057/147573952589676412928 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r))) |
(*.f64 (tan.f64 b) r) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 r b) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 5188146770730811/144115188075855872 binary64)) (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 a b)))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 5188146770730811/144115188075855872 binary64)) (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) (cos.f64 (+.f64 b a)))) (*.f64 r (tan.f64 b)))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 1498797955988901/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 a b)))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 1498797955988901/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (cos.f64 (+.f64 b a)))) (*.f64 r (tan.f64 b)))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))) (if (<=.f64 b #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) (*.f64 r (tan.f64 b)))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 700976274800963/73786976294838206464 binary64)) (*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 700976274800963/73786976294838206464 binary64)) (*.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) (*.f64 r (tan.f64 b)))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5902958103587057/147573952589676412928 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r))) |
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 5902958103587057/147573952589676412928 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b)))) |
(*.f64 (tan.f64 b) r) |
(*.f64 r (tan.f64 b)) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 r b) |
| 6490× | *-lowering-*.f32 |
| 6490× | *-lowering-*.f64 |
| 5934× | *-lowering-*.f32 |
| 5934× | *-lowering-*.f64 |
| 4748× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 763 | 7193 |
| 1 | 2736 | 6500 |
| 0 | 8821 | 6500 |
| 0 | 573 | 6186 |
| 1 | 2033 | 5781 |
| 2 | 7681 | 5781 |
| 0 | 8758 | 5781 |
| 0 | 233 | 2071 |
| 1 | 793 | 1938 |
| 2 | 2750 | 1859 |
| 0 | 8305 | 1859 |
| 0 | 30 | 108 |
| 1 | 163 | 107 |
| 2 | 1139 | 107 |
| 0 | 8478 | 107 |
| 0 | 12 | 39 |
| 1 | 65 | 39 |
| 2 | 430 | 39 |
| 3 | 3929 | 39 |
| 0 | 8142 | 39 |
| 0 | 37 | 144 |
| 1 | 239 | 121 |
| 2 | 1888 | 121 |
| 0 | 9032 | 121 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 621 to 352 computations (43.3% saved)
(negabs r)
Compiled 632 to 276 computations (56.3% saved)
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