
Time bar (total: 14.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.3s | 5 810× | 1 | valid |
| 171.0ms | 2 446× | 0 | valid |
ival-cos: 564.0ms (49.6% of total)ival-sin: 192.0ms (16.9% of total)adjust: 105.0ms (9.2% of total)ival-add: 100.0ms (8.8% of total)ival-mult: 100.0ms (8.8% of total)ival-div: 67.0ms (5.9% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 658× | times-frac |
| 528× | associate-*r* |
| 518× | unsub-neg |
| 474× | associate-*l* |
| 466× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 95 |
| 1 | 91 | 93 |
| 2 | 180 | 93 |
| 3 | 433 | 93 |
| 4 | 1081 | 93 |
| 5 | 2510 | 93 |
| 6 | 3273 | 93 |
| 7 | 3669 | 93 |
| 8 | 4249 | 93 |
| 9 | 4625 | 93 |
| 10 | 4637 | 93 |
| 11 | 4641 | 93 |
| 12 | 4641 | 93 |
| 13 | 4681 | 93 |
| 14 | 4697 | 93 |
| 15 | 4697 | 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× | saturated |
| 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)))) |
(/ (* r (neg (sin b))) (cos (+ b a))) |
(* r (/ (sin b) (cos (+ (neg a) b)))) |
(/ (* r (sin b)) (cos (- b a))) |
(* r (/ (sin (neg b)) (cos (+ a (neg b))))) |
(/ (* r (neg (sin b))) (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))))) |
(/ (* r (neg (sin b))) (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 |
|---|---|---|---|---|---|
| 77 | 110 | (7.881306085189475e-160 -6.988125454824097e+78 -2.792876516120122e-306) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 187 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 77 | 0 |
| - | 110 | 69 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 77 | 0 | 0 |
| - | 110 | 0 | 69 |
| number | freq |
|---|---|
| 0 | 69 |
| 1 | 187 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 134.0ms | 348× | 1 | valid |
| 14.0ms | 164× | 0 | valid |
Compiled 84 to 36 computations (57.1% saved)
ival-cos: 95.0ms (75.6% of total)ival-sin: 11.0ms (8.8% of total)adjust: 6.0ms (4.8% of total)ival-add: 5.0ms (4% of total)ival-mult: 5.0ms (4% of total)ival-div: 4.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.1% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | 8 | 28 |
| 1 | 12 | 28 |
| 2 | 14 | 28 |
| 3 | 16 | 28 |
| 4 | 17 | 28 |
| 0 | 17 | 28 |
| 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 |
| 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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| ✓ | accuracy | 74.1% | (cos.f64 (+.f64 a b)) |
| 39.0ms | 174× | 1 | valid |
| 6.0ms | 82× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-add: 11.0ms (33.3% of total)ival-cos: 9.0ms (27.2% of total)ival-sin: 5.0ms (15.1% of total)adjust: 3.0ms (9.1% of total)ival-mult: 3.0ms (9.1% of total)ival-div: 2.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 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))> |
| 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)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | (/ (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | b | @ | inf | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | b | @ | 0 | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | r | @ | inf | (* r (/ (sin b) (cos (+ a b)))) |
| 1× | batch-egg-rewrite |
| 6 400× | *-lowering-*.f32 |
| 6 400× | *-lowering-*.f64 |
| 4 812× | /-lowering-/.f32 |
| 4 812× | /-lowering-/.f64 |
| 3 770× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 39 | 22 |
| 2 | 229 | 22 |
| 3 | 1984 | 22 |
| 0 | 10215 | 22 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (cos (+ a b)))) |
(/ (sin b) (cos (+ a b))) |
(sin b) |
(cos (+ a b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) r)) |
(neg.f64 (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (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 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 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 r (sin.f64 b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal -1 binary64) r) (/.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)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.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 0 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))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #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) (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (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)))) |
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(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
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(-.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)))) |
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
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(/.f64 (fma.f64 (neg.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 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 (neg.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 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (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) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (*.f64 (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) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (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) (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)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.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 (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 1/2 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) (-.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (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) (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) (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) (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 |
| 9 408× | accelerator-lowering-fma.f32 |
| 9 408× | accelerator-lowering-fma.f64 |
| 5 356× | *-lowering-*.f32 |
| 5 356× | *-lowering-*.f64 |
| 2 876× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2069 | 1116 |
| 3 | 7705 | 1116 |
| 0 | 8285 | 1075 |
| 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))) |
| 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 (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* 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 (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 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)))) (/.f64 r (cos.f64 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)))) |
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.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 #s(literal 0 binary64) b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 r (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))) |
(fma.f64 (sin.f64 b) (/.f64 r (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))) |
(fma.f64 r (/.f64 (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))) |
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a (fma.f64 (sin.f64 b) (/.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)))) (cos.f64 b)) (*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 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)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* 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 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* 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 (fma.f64 b (fma.f64 b (fma.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)))) (/.f64 #s(literal 1 binary64) (cos.f64 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)))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (fma.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 (fma.f64 (fma.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 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 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))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* 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))) |
(fma.f64 a (fma.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)))))) (/.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))) |
(fma.f64 a (fma.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 (sin.f64 b) (/.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))) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (fma.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))))))) (/.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 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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)))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)) |
(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)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 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 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)) |
Compiled 4 890 to 753 computations (84.6% saved)
37 alts after pruning (37 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 37 | 256 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 37 | 257 |
| Status | Accuracy | Program |
|---|---|---|
| 74.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 74.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| ▶ | 74.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
| ▶ | 74.1% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 73.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) | |
| 73.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 74.0% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 74.1% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) | |
| 39.0% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 73.8% | (*.f64 r (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) | |
| 51.1% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) | |
| 50.9% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) | |
| 50.7% | (*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (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))))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))) | |
| 52.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) | |
| 52.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) | |
| 53.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) | |
| 55.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) | |
| 56.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))) | |
| 98.7% | (*.f64 r (/.f64 (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))) (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 (-.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))))))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 74.0% | (*.f64 r (/.f64 (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)))))) | |
| ▶ | 48.4% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
| 59.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) | |
| 54.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 51.3% | (*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) | |
| 51.2% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 74.1% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) | |
| 74.0% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) | |
| 74.1% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| 51.1% | (*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) | |
| 51.2% | (*.f64 b (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) | |
| ▶ | 51.2% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 36.4% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 1 388 to 876 computations (36.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) |
| ✓ | cost-diff | 13824 | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 0 binary64) (-.f64 a b)) |
| ✓ | cost-diff | 192 | (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))) |
| ✓ | cost-diff | 1280 | (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | -64 | (*.f64 b (/.f64 r (cos.f64 a))) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 a)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (sin.f64 b)) |
| ✓ | cost-diff | 0 | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 5 658× | accelerator-lowering-fma.f32 |
| 5 658× | accelerator-lowering-fma.f64 |
| 2 516× | *-lowering-*.f32 |
| 2 516× | *-lowering-*.f64 |
| 2 340× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 225 |
| 1 | 70 | 225 |
| 2 | 169 | 207 |
| 3 | 416 | 204 |
| 4 | 805 | 204 |
| 5 | 2613 | 204 |
| 6 | 5439 | 204 |
| 0 | 8459 | 204 |
| 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) |
(* b (/ r (cos a))) |
b |
(/ r (cos a)) |
r |
(cos a) |
a |
(* (/ r (cos (+ b a))) (sin b)) |
(/ r (cos (+ b a))) |
r |
(cos (+ b a)) |
(+ b a) |
b |
a |
(sin b) |
(* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))) |
r |
(/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))) |
(sin b) |
b |
(cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))) |
(/ (* (+ b a) (- a b)) (- 0 (- a b))) |
(* (+ b a) (- a b)) |
(+ b a) |
a |
(- a b) |
(- 0 (- a b)) |
0 |
(* (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) (cos (- a b))) |
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) |
(* r (sin b)) |
r |
(sin b) |
b |
(* (cos (- a b)) (cos (+ b a))) |
(cos (- a b)) |
(- a b) |
a |
(cos (+ b a)) |
(+ b a) |
| Outputs |
|---|
(* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))) |
(fma.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
r |
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64)))) |
(sin b) |
(sin.f64 b) |
b |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64))) |
(- 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)) |
(fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) |
(cos a) |
(cos.f64 a) |
(cos b) |
(cos.f64 b) |
(* b (/ r (cos a))) |
(/.f64 (fma.f64 r b #s(literal 0 binary64)) (cos.f64 a)) |
b |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
r |
(cos a) |
(cos.f64 a) |
a |
(* (/ r (cos (+ b a))) (sin b)) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 0 binary64)) |
(/ r (cos (+ b a))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
b |
a |
(sin b) |
(sin.f64 b) |
(* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 0 binary64)) |
r |
(/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin b) |
(sin.f64 b) |
b |
(cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))) |
(cos.f64 (+.f64 b a)) |
(/ (* (+ b a) (- a b)) (- 0 (- a b))) |
(-.f64 #s(literal 0 binary64) (+.f64 b a)) |
(* (+ b a) (- a b)) |
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64)) |
(+ b a) |
(+.f64 b a) |
a |
(- a b) |
(-.f64 a b) |
(- 0 (- a b)) |
(-.f64 b a) |
0 |
#s(literal 0 binary64) |
(* (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) (cos (- a b))) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 0 binary64)) |
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) |
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) |
(* r (sin b)) |
(fma.f64 r (sin.f64 b) #s(literal 0 binary64)) |
r |
(sin b) |
(sin.f64 b) |
b |
(* (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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) |
| ✓ | accuracy | 99.5% | (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 74.1% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 74.0% | (cos.f64 (-.f64 a b)) |
| ✓ | accuracy | 99.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))) |
| ✓ | accuracy | 74.1% | (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))) |
| ✓ | accuracy | 51.8% | (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| ✓ | accuracy | 74.1% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.9% | (/.f64 r (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 b (/.f64 r (cos.f64 a))) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (*.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 | 99.8% | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 142.0ms | 181× | 1 | valid |
| 19.0ms | 75× | 0 | valid |
Compiled 261 to 34 computations (87% saved)
ival-cos: 40.0ms (31.1% of total)ival-mult: 27.0ms (21% of total)ival-sin: 18.0ms (14% of total)ival-sub: 15.0ms (11.7% of total)ival-div: 14.0ms (10.9% of total)adjust: 11.0ms (8.6% of total)ival-add: 4.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))> |
#<alt (sin b)> |
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))> |
#<alt (- 0 (sin b))> |
#<alt (/ r (cos a))> |
#<alt (cos a)> |
#<alt (* b (/ r (cos a)))> |
#<alt (/ r (cos (+ b a)))> |
#<alt (cos (+ b a))> |
#<alt (+ b a)> |
#<alt (/ (* (+ b a) (- a b)) (- 0 (- a b)))> |
#<alt (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))> |
#<alt (- 0 (- a b))> |
#<alt (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))> |
#<alt (* (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) (cos (- a b)))> |
#<alt (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))> |
#<alt (* (cos (- a b)) (cos (+ b a)))> |
#<alt (* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (/ r (cos (+ b a))) (sin b))> |
#<alt (* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))))> |
#<alt (cos (- a b))> |
| Outputs |
|---|
#<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 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 a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<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 (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 (* -1 b)> |
#<alt (* b (- (* 1/6 (pow b 2)) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt r> |
#<alt (+ r (* 1/2 (* (pow a 2) r)))> |
#<alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))> |
#<alt (+ 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))))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))> |
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b r)> |
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))> |
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))> |
#<alt (+ (* 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)))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
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#<alt (cos (+ a (* -1 b)))> |
#<alt (cos (+ a (* -1 b)))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | r | @ | inf | (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) |
| 5.0ms | a | @ | inf | (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
| 4.0ms | r | @ | 0 | (/ r (cos a)) |
| 4.0ms | b | @ | 0 | (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))) |
| 2.0ms | b | @ | inf | (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
| 1× | batch-egg-rewrite |
| 5 134× | /-lowering-/.f32 |
| 5 134× | /-lowering-/.f64 |
| 4 932× | *-lowering-*.f32 |
| 4 932× | *-lowering-*.f64 |
| 4 374× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 210 |
| 1 | 181 | 137 |
| 2 | 1624 | 137 |
| 0 | 9145 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)) |
(/ r (cos a)) |
(cos a) |
(* b (/ r (cos a))) |
(/ r (cos (+ b a))) |
(cos (+ b a)) |
(+ b a) |
(/ (* (+ b a) (- a b)) (- 0 (- a b))) |
(cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))) |
(- 0 (- a b)) |
(/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))) |
(* (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) (cos (- a b))) |
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) |
(* (cos (- a b)) (cos (+ b a))) |
(* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))) |
(* (cos a) (cos b)) |
(* (/ r (cos (+ b a))) (sin b)) |
(* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))) |
(cos (- a b)) |
| Outputs |
|---|
(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 (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 b b))))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (pow.f64 (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 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 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 b b)))))) (/.f64 (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 b b))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))) |
(neg.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (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 b b)))))) |
(/.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 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64))) (neg.f64 (*.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 b b))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 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 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (-.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (neg.f64 (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)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (neg.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (-.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 b 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 b b))))))) (/.f64 #s(literal 1 binary64) (/.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 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(+.f64 (sin.f64 b) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sin.f64 b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))) |
(sin.f64 b) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) #s(literal 0 binary64))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) |
(+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.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)))) |
(+.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 (neg.f64 (+.f64 b a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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 b 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 #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 b b))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (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 b b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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) (sin.f64 a)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (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 b b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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) (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 b b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.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))))) |
(fma.f64 (/.f64 (sin.f64 a) (sin.f64 b)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(/.f64 (+.f64 (neg.f64 (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))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)) (cos.f64 (-.f64 a b))))) |
(/.f64 (+.f64 (neg.f64 (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))) (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 b b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 0 binary64) (sin.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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)) (cos.f64 (-.f64 a b)))) (+.f64 (neg.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b)))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b)))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) |
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(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) |
(fma.f64 (cos.f64 b) (cos.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) (sin.f64 a))) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 b a)))) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 a b)))) |
(fma.f64 (cos.f64 (+.f64 #s(literal 0 binary64) a)) (cos.f64 b) (*.f64 (sin.f64 (+.f64 #s(literal 0 binary64) a)) (sin.f64 b))) |
(fma.f64 (cos.f64 (-.f64 #s(literal 0 binary64) a)) (cos.f64 b) (*.f64 (sin.f64 (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (cos.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 (sin.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (sin.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (+.f64 b a))) (cos.f64 (/.f64 (*.f64 b b) (+.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (+.f64 b a))) (sin.f64 (/.f64 (*.f64 b b) (+.f64 b a))))) |
(fma.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (sin.f64 (-.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (-.f64 a b))) (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (-.f64 a b))) (sin.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))) (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 b b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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) (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 b b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (fma.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 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.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 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 a) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))))) (*.f64 #s(literal 2 binary64) (sin.f64 b))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) (sin.f64 a)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)))) (*.f64 #s(literal 2 binary64) (sin.f64 b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (sin.f64 a) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (sin.f64 b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (sin.f64 b))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 a) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (sin.f64 b)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))))) (*.f64 #s(literal -2 binary64) (sin.f64 b))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (sin.f64 b)) (*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (sin.f64 b))) |
(/.f64 (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 b b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.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 (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 b b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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) (sin.f64 a))))))) |
(/.f64 (+.f64 (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))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
| 1× | egg-herbie |
| 9 406× | accelerator-lowering-fma.f32 |
| 9 406× | accelerator-lowering-fma.f64 |
| 7 282× | *-lowering-*.f32 |
| 7 282× | *-lowering-*.f64 |
| 4 474× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 873 | 8792 |
| 1 | 2991 | 7858 |
| 0 | 9055 | 7620 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)))) |
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 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))) |
(* -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)) |
(/ 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) |
(/ (* 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 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)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (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))) |
(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))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 a) |
(+ (* -1 a) (* b (- (* -1 (/ (+ a (* -1 a)) a)) 1))) |
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1))) |
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (+ (/ 1 a) (/ (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) a)) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1))) |
(* -1 b) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 a) |
(* a (- (* -1 (/ (+ b (* -1 b)) a)) (+ 1 (/ b a)))) |
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (/ (pow b 2) (pow a 2))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a))))) |
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (+ (/ (* b (- (pow b 2) (* -1 (* b (- (* -1 (+ b (* -1 b))) b))))) (pow a 3)) (/ (pow b 2) (pow a 2)))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a))))) |
(* -1 a) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* -1 (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(+ (cos (* -1 a)) (* b (- (* b (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(+ (cos (* -1 a)) (* b (- (* b (- (+ (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* b (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2)))))))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
b |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 a) |
(- b a) |
(- b a) |
(- b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
b |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(/ b (cos (* -1 a))) |
(* b (+ (/ 1 (cos (* -1 a))) (/ (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2)))) |
(* b (+ (* b (- (* b (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* b (- (/ (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a))))))))) (cos (* -1 a)))) (+ (* -1 (/ (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (cos (* -1 a)))) (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))))) (pow (cos (* -1 a)) 3)))))) (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2))) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a))))) |
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (sin b) (cos (* -1 (- a (* -1 b))))) |
(/ (sin b) (cos (* -1 (- a (* -1 b))))) |
(/ (sin b) (cos (* -1 (- a (* -1 b))))) |
(/ (sin b) (cos (* -1 (- a (* -1 b))))) |
(/ (sin b) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b)))) |
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (sin b) (cos (* -1 (- b (* -1 a))))) |
(/ (sin b) (cos (* -1 (- b (* -1 a))))) |
(/ (sin b) (cos (* -1 (- b (* -1 a))))) |
(/ (sin b) (cos (* -1 (- 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))) |
(/ (* 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)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* b r) (pow (cos a) 2)) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))))) (pow (cos a) 4))) (/ r (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (pow (cos a) 2))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (/ (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 4)))) (/ r (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2))))) (pow (cos a) 6))) (+ (/ (* r (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a))))))) (pow (cos a) 4)) (/ (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (- (* -1/6 (/ r (pow (cos a) 2))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (pow (cos a) 2)))))) (* -1/6 (/ r (pow (cos a) 2)))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (/ (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 4)))) (/ r (pow (cos a) 2)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos b) (cos (neg b)))) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (* (cos b) (cos (neg b))))) (/ (* r (* (sin b) (+ (* 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)))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(* (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)))) |
(/ (* 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)))) |
(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)) |
(/ (* 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)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (/ r (cos (* -1 a))) (/ (* b (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))) (pow (cos (* -1 a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2)))))) (cos (* -1 a)))) (+ (/ (* r (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))))) (pow (cos (* -1 a)) 3)) (/ (* r (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))))) (pow (cos (* -1 a)) 2)))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a))))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- 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))) |
| Outputs |
|---|
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* 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 (fma.f64 b (fma.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)))) (/.f64 #s(literal 1 binary64) (cos.f64 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)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.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))))) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) 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)))) (/.f64 #s(literal 1 binary64) (cos.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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (sin b) (cos b)) |
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(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(fma.f64 a (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 a (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b))) |
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(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 (*.f64 b (sin.f64 a)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 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 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)))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 b)) a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)) |
(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)) |
a |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
b |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) b) |
b |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
a |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(+ (* -1 a) (* b (- (* -1 (/ (+ a (* -1 a)) a)) 1))) |
(fma.f64 b (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1))) |
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a)) |
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (+ (/ 1 a) (/ (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) a)) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1))) |
(fma.f64 b (+.f64 (/.f64 #s(literal 0 binary64) a) (fma.f64 b (fma.f64 b (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a)) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* b (- (* -1 (/ a b)) 1)) |
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 a b) b)) |
(* b (- (* -1 (/ a b)) 1)) |
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 a b) b)) |
(* b (- (* -1 (/ a b)) 1)) |
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 a b) b)) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (/ a b)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 a b) b)) |
(* -1 (* b (+ 1 (/ a b)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 a b) b)) |
(* -1 (* b (+ 1 (/ a b)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 a b) b)) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(+ (* -1 a) (* -1 b)) |
(-.f64 (-.f64 #s(literal 0 binary64) b) a) |
(+ (* -1 a) (* -1 b)) |
(-.f64 (-.f64 #s(literal 0 binary64) b) a) |
(+ (* -1 a) (* -1 b)) |
(-.f64 (-.f64 #s(literal 0 binary64) b) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* a (- (* -1 (/ (+ b (* -1 b)) a)) (+ 1 (/ b a)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 b a) a)) |
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (/ (pow b 2) (pow a 2))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a))))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (+ (/ (* b (- (pow b 2) (* -1 (* b (- (* -1 (+ b (* -1 b))) b))))) (pow a 3)) (/ (pow b 2) (pow a 2)))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a))))) |
(*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 (* a (+ 1 (/ b a)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 b a) a)) |
(* -1 (* a (+ 1 (/ b a)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 b a) a)) |
(* -1 (* a (+ 1 (/ b a)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 a)) |
(cos.f64 a) |
(+ (cos (* -1 a)) (* -1 (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(fma.f64 b (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* b (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a)))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* b (- (+ (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* b (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2)))))))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (*.f64 a a)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a))))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (cos.f64 a)) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos.f64 (+.f64 b a)) |
(cos (* -1 (- a (* -1 b)))) |
(cos.f64 (+.f64 b a)) |
(cos (* -1 (- a (* -1 b)))) |
(cos.f64 (+.f64 b a)) |
(cos (* -1 (- a (* -1 b)))) |
(cos.f64 (+.f64 b a)) |
(cos (* -1 b)) |
(cos.f64 b) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal -1/6 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos.f64 (+.f64 b a)) |
(cos (* -1 (- b (* -1 a)))) |
(cos.f64 (+.f64 b a)) |
(cos (* -1 (- b (* -1 a)))) |
(cos.f64 (+.f64 b a)) |
(cos (* -1 (- b (* -1 a)))) |
(cos.f64 (+.f64 b a)) |
b |
(+ b (* -1 a)) |
(-.f64 b a) |
(+ b (* -1 a)) |
(-.f64 b a) |
(+ b (* -1 a)) |
(-.f64 b a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* a (- (/ b a) 1)) |
(*.f64 a (+.f64 (/.f64 b a) #s(literal -1 binary64))) |
(* a (- (/ b a) 1)) |
(*.f64 a (+.f64 (/.f64 b a) #s(literal -1 binary64))) |
(* a (- (/ b a) 1)) |
(*.f64 a (+.f64 (/.f64 b a) #s(literal -1 binary64))) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a)))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a)))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 b a)))) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(- b a) |
(-.f64 b a) |
(- b a) |
(-.f64 b a) |
(- b a) |
(-.f64 b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b))) |
(* b (+ 1 (* -1 (/ a b)))) |
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b))) |
(* b (+ 1 (* -1 (/ a b)))) |
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b))) |
b |
(* -1 (* b (- (/ a b) 1))) |
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b))) |
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(cos.f64 (-.f64 a b)) |
(cos (- a b)) |
(cos.f64 (-.f64 a b)) |
(cos (- a b)) |
(cos.f64 (-.f64 a b)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 a b)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 a b)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 a b)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 a b)) |
Compiled 53 358 to 4 582 computations (91.4% saved)
84 alts after pruning (83 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 892 | 68 | 1 960 |
| Fresh | 17 | 15 | 32 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 913 | 84 | 1 997 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 74.1% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) | |
| 59.2% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 74.0% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 74.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 51.1% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 50.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) | |
| 60.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 98.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 56.7% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) (cos.f64 (-.f64 a b))) | |
| 66.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b))) | |
| 59.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b)) | |
| 54.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 a)) | |
| 54.6% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) | |
| 98.9% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (/.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)))))) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 52.5% | (*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) | |
| ▶ | 53.0% | (*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) |
| 56.4% | (*.f64 (/.f64 r (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 61.3% | (*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b)) | |
| 61.0% | (*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) | |
| 66.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b)) | |
| 38.0% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) | |
| 37.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b)))) | |
| 50.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) | |
| 51.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) | |
| 29.7% | (*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) | |
| 74.4% | (*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) | |
| 59.2% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| 54.6% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 73.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) | |
| 73.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 73.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| ▶ | 74.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
| 51.2% | (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 45.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 39.0% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 62.2% | (*.f64 r (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 38.0% | (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))) | |
| 52.3% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 52.3% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 51.1% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) | |
| 50.9% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) | |
| 98.9% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 98.9% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 52.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) | |
| 60.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) | |
| 56.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) | |
| 64.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 55.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 56.1% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 56.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| 52.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) | |
| 53.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) | |
| 98.8% | (*.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 b 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) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (*.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))))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 34.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a))))) | |
| 35.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b)))) | |
| 27.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))))) | |
| 74.4% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a)))))) | |
| 67.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) | |
| 36.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) | |
| 31.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) | |
| 18.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))) | |
| 59.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) | |
| 54.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 39.2% | (*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) | |
| 51.2% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 74.1% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) | |
| 37.9% | (*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))) | |
| 98.9% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 51.1% | (*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) | |
| ▶ | 51.2% | (*.f64 b (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
| 34.6% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.5% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.7% | (*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) | |
| ✓ | 51.2% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 51.2% | (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) | |
| ▶ | 36.0% | (*.f64 b r) |
| 36.4% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 3 677 to 2 256 computations (38.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
| ✓ | cost-diff | 6464 | (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 a) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (sin.f64 a)) |
| ✓ | cost-diff | 0 | (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
| ✓ | cost-diff | -64 | (*.f64 b r) |
| ✓ | cost-diff | 0 | (sin.f64 a) |
| ✓ | cost-diff | 0 | (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 29 428× | accelerator-lowering-fma.f32 |
| 29 428× | accelerator-lowering-fma.f64 |
| 3 752× | *-lowering-*.f32 |
| 3 752× | *-lowering-*.f64 |
| 2 136× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 213 |
| 1 | 75 | 206 |
| 2 | 150 | 203 |
| 3 | 374 | 199 |
| 4 | 821 | 199 |
| 5 | 1112 | 199 |
| 6 | 1498 | 199 |
| 7 | 1872 | 199 |
| 8 | 3324 | 199 |
| 9 | 4972 | 199 |
| 10 | 6733 | 199 |
| 11 | 7222 | 199 |
| 12 | 7315 | 199 |
| 13 | 7339 | 199 |
| 14 | 7446 | 199 |
| 15 | 7762 | 199 |
| 16 | 7857 | 199 |
| 17 | 7865 | 199 |
| 18 | 7867 | 199 |
| 19 | 7871 | 199 |
| 20 | 7871 | 199 |
| 0 | 8647 | 197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))) |
r |
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) |
(sin b) |
b |
(+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))) |
(neg (sin b)) |
(sin a) |
a |
(* (cos a) (cos b)) |
(cos a) |
(cos b) |
(* b r) |
b |
r |
(* (* (/ 1 (cos (+ b a))) r) (sin b)) |
(* (/ 1 (cos (+ b a))) r) |
(/ 1 (cos (+ b a))) |
1 |
(cos (+ b a)) |
(+ b a) |
b |
a |
r |
(sin b) |
(* (/ r (+ (* b (- 0 (sin a))) (cos a))) (sin b)) |
(/ r (+ (* b (- 0 (sin a))) (cos a))) |
r |
(+ (* b (- 0 (sin a))) (cos a)) |
b |
(- 0 (sin a)) |
0 |
(sin a) |
a |
(cos a) |
(sin b) |
(* b (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))) |
b |
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a))) |
r |
(/ (* b (sin a)) (pow (cos a) 2)) |
(* b (sin a)) |
(sin a) |
a |
(pow (cos a) 2) |
(cos a) |
2 |
(/ r (cos a)) |
| Outputs |
|---|
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))) |
(fma.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))))) #s(literal 0 binary64)) |
r |
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))))) |
(sin b) |
(sin.f64 b) |
b |
(+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64)))) |
(neg (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
(sin a) |
(sin.f64 a) |
a |
(* (cos a) (cos b)) |
(fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) |
(cos a) |
(cos.f64 a) |
(cos b) |
(cos.f64 b) |
(* b r) |
(fma.f64 r b #s(literal 0 binary64)) |
b |
r |
(* (* (/ 1 (cos (+ b a))) r) (sin b)) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 0 binary64)) |
(* (/ 1 (cos (+ b a))) r) |
(/.f64 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) |
b |
a |
r |
(sin b) |
(sin.f64 b) |
(* (/ r (+ (* b (- 0 (sin a))) (cos a))) (sin b)) |
(fma.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) #s(literal 0 binary64)) |
(/ r (+ (* b (- 0 (sin a))) (cos a))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
r |
(+ (* b (- 0 (sin a))) (cos a)) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
b |
(- 0 (sin a)) |
(-.f64 #s(literal 0 binary64) (sin.f64 a)) |
0 |
#s(literal 0 binary64) |
(sin a) |
(sin.f64 a) |
a |
(cos a) |
(cos.f64 a) |
(sin b) |
(sin.f64 b) |
(* b (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))) |
(fma.f64 (fma.f64 r b #s(literal 0 binary64)) (/.f64 (fma.f64 (sin.f64 a) (/.f64 b (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) #s(literal 0 binary64)) |
b |
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a))) |
(fma.f64 r (/.f64 (fma.f64 (sin.f64 a) (/.f64 b (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) #s(literal 0 binary64)) |
r |
(/ (* b (sin a)) (pow (cos a) 2)) |
(fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* b (sin a)) |
(fma.f64 b (sin.f64 a) #s(literal 0 binary64)) |
(sin a) |
(sin.f64 a) |
a |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos a) |
(cos.f64 a) |
2 |
#s(literal 2 binary64) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 r (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 b (sin.f64 a)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.9% | (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) |
| ✓ | accuracy | 99.8% | (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
| ✓ | accuracy | 74.1% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 b r) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| ✓ | accuracy | 99.8% | (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 131.0ms | 173× | 1 | valid |
| 20.0ms | 83× | 0 | valid |
Compiled 211 to 36 computations (82.9% saved)
ival-cos: 28.0ms (24% of total)ival-mult: 24.0ms (20.5% of total)adjust: 22.0ms (18.8% of total)ival-sin: 17.0ms (14.6% of total)ival-div: 12.0ms (10.3% of total)ival-add: 7.0ms (6% of total)ival-pow2: 4.0ms (3.4% of total)ival-sub: 2.0ms (1.7% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))> |
#<alt (sin b)> |
#<alt (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))> |
#<alt (sin a)> |
#<alt (* b r)> |
#<alt (* (/ 1 (cos (+ b a))) r)> |
#<alt (/ 1 (cos (+ b a)))> |
#<alt (cos (+ b a))> |
#<alt (+ b a)> |
#<alt (/ r (+ (* b (- 0 (sin a))) (cos a)))> |
#<alt (+ (* b (- 0 (sin a))) (cos a))> |
#<alt (- 0 (sin a))> |
#<alt (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))> |
#<alt (/ (* b (sin a)) (pow (cos a) 2))> |
#<alt (pow (cos a) 2)> |
#<alt (* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (* (/ 1 (cos (+ b a))) r) (sin b))> |
#<alt (* (/ r (+ (* b (- 0 (sin a))) (cos a))) (sin b))> |
#<alt (cos a)> |
#<alt (* b (sin a))> |
#<alt (/ r (cos a))> |
| Outputs |
|---|
#<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 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 a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<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 (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 a> |
#<alt (* a (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))> |
#<alt (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<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 (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ 1 (cos a))> |
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))> |
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))> |
#<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 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))> |
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))> |
#<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 (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))))> |
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#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<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 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* -1 (/ (* r (sin b)) (* b (sin a))))> |
#<alt (/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b)> |
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)> |
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b)> |
#<alt (* -1 (/ (* r (sin b)) (* b (sin a))))> |
#<alt (* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))> |
#<alt (* r (sin b))> |
#<alt (+ (* a (* b (* r (sin b)))) (* r (sin b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))> |
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* a b)> |
#<alt (* a (+ b (* -1/6 (* (pow a 2) b))))> |
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))> |
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (* b (sin a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt r> |
#<alt (+ r (* 1/2 (* (pow a 2) r)))> |
#<alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))> |
#<alt (+ 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))))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
#<alt (/ r (cos a))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | b | @ | -inf | (* b (sin a)) |
| 5.0ms | a | @ | 0 | (/ r (+ (* b (- 0 (sin a))) (cos a))) |
| 1.0ms | a | @ | inf | (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a))) |
| 1.0ms | a | @ | -inf | (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a))) |
| 1.0ms | r | @ | 0 | (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a))) |
| 1× | batch-egg-rewrite |
| 4 880× | /-lowering-/.f32 |
| 4 880× | /-lowering-/.f64 |
| 4 032× | *-lowering-*.f32 |
| 4 032× | *-lowering-*.f64 |
| 3 930× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 175 |
| 1 | 174 | 133 |
| 2 | 1376 | 129 |
| 0 | 8202 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) |
(sin b) |
(+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))) |
(sin a) |
(* b r) |
(* (/ 1 (cos (+ b a))) r) |
(/ 1 (cos (+ b a))) |
(cos (+ b a)) |
(+ b a) |
(/ r (+ (* b (- 0 (sin a))) (cos a))) |
(+ (* b (- 0 (sin a))) (cos a)) |
(- 0 (sin a)) |
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a))) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(pow (cos a) 2) |
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))) |
(* (cos a) (cos b)) |
(* (* (/ 1 (cos (+ b a))) r) (sin b)) |
(* (/ r (+ (* b (- 0 (sin a))) (cos a))) (sin b)) |
(cos a) |
(* b (sin a)) |
(/ r (cos a)) |
| Outputs |
|---|
(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 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (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 (-.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 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 (sin.f64 b) #s(literal 1 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 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (fma.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (-.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)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (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 #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))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a 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 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.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 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(sin.f64 b) |
(+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.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 (*.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))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.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)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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 a 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 a 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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.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 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))) |
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
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(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))))) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.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 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(+.f64 (sin.f64 a) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sin.f64 a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))) (sin.f64 a))) |
(sin.f64 a) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 0 binary64))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) |
(*.f64 b r) |
(*.f64 r b) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 r #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.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 #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.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 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a 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 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))))) |
(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) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) |
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (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 (/.f64 #s(literal 1 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 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a 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 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.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 (*.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))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.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)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))) |
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(/.f64 (/.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) (cos.f64 a)) |
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(*.f64 (/.f64 (tan.f64 a) (cos.f64 a)) b) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) r) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (*.f64 (-.f64 #s(literal 0 binary64) r) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) r)) |
(/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) r)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) r))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) r))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (sin.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))) |
(pow.f64 (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 b (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (fma.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (-.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) (cos.f64 a))) |
(*.f64 (/.f64 r (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 b (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (-.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))))))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) (cos.f64 a))))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 b (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (-.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) (cos.f64 a))))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(exp.f64 (log.f64 (cos.f64 a))) |
(cos.f64 a) |
(pow.f64 (cos.f64 a) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (cos.f64 a)) (sqrt.f64 (cos.f64 a))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 1 binary64))) |
(*.f64 b (sin.f64 a)) |
(*.f64 (sin.f64 a) b) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a))) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(neg.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 a))) |
(/.f64 r (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 a) r)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 a) r))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 a))))) |
(pow.f64 (/.f64 (cos.f64 a) r) #s(literal -1 binary64)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 a))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a)))) |
| 1× | egg-herbie |
| 9 976× | accelerator-lowering-fma.f32 |
| 9 976× | accelerator-lowering-fma.f64 |
| 7 390× | *-lowering-*.f32 |
| 7 390× | *-lowering-*.f64 |
| 3 658× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 733 | 6640 |
| 1 | 2374 | 6284 |
| 2 | 7759 | 6256 |
| 0 | 8139 | 6017 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)))) |
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 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))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(* 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 (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ 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))) |
(/ 1 (cos a)) |
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) |
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(/ 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 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(/ 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)))) |
(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))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (/ (* b (* r (pow (sin a) 2))) (pow (cos a) 3)) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (/ (* b (* r (pow (sin a) 3))) (pow (cos a) 4)) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(* -1 (/ r (* b (sin a)))) |
(/ (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (cos a)) (* b (pow (sin a) 2))))) b) |
(/ (- (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (cos a)) (* b (pow (sin a) 2)))) b) |
(/ (- (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (pow (cos a) 3)) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (cos a)) (* b (pow (sin a) 2))) (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3))))) b) |
(* -1 (/ r (* b (sin a)))) |
(* -1 (/ (+ (/ r (sin a)) (/ (* r (cos a)) (* b (pow (sin a) 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (pow (cos a) 2)) (* b (pow (sin a) 3)))) (/ (* r (cos a)) (pow (sin a) 2))) b)) (/ r (sin a))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos a) 3)) (* b (pow (sin a) 4))) (* -1 (/ (* r (pow (cos a) 2)) (pow (sin a) 3)))) b)) (/ (* r (cos a)) (pow (sin a) 2))) b)) (/ r (sin a))) b)) |
r |
(+ r (* a (* b r))) |
(+ r (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1/2 r)))) (* -1 (* b r))))) |
(+ r (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b r)) (+ (* 1/6 (* b r)) (* b (+ (* -1 (* (pow b 2) r)) (* -1/2 r))))))) (+ (* -1 (* (pow b 2) r)) (* -1/2 r)))) (* -1 (* b r))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(* -1 (* b (sin a))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(* -1 a) |
(* a (- (* 1/6 (pow a 2)) 1)) |
(* a (- (* (pow a 2) (+ 1/6 (* -1/120 (pow a 2)))) 1)) |
(* a (- (* (pow a 2) (+ 1/6 (* (pow a 2) (- (* 1/5040 (pow a 2)) 1/120)))) 1)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(/ (* b (* r (sin a))) (pow (cos a) 2)) |
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(/ (* b (* r (sin a))) (pow (cos a) 2)) |
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) |
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) |
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) |
r |
(+ r (* a (* b r))) |
(+ r (* a (+ (* 1/2 (* a r)) (* b r)))) |
(+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r)))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(* a b) |
(* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1 b))))) |
(* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b))))) (* -1 b))))) |
(* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (+ (* 1/120 b) (* (pow a 2) (- (* -1/5040 b) (+ (* -1 (- (* 1/120 b) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b)))) (+ (* -2/45 b) (* 1/3 (- (* -1/6 b) (* -1 b)))))))) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b))))) (* -1 b))))) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/ (* b (sin a)) (pow (cos a) 2)) |
1 |
(+ 1 (* -1 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(/ (* 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)))) |
(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)) |
(/ (* 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)) (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) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* 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 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b) |
(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b)) |
(* r (sin b)) |
(+ (* a (* b (* r (sin b)))) (* r (sin b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin 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) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* a b) |
(* a (+ b (* -1/6 (* (pow a 2) b)))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b)))))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b))))))) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin 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)) |
| Outputs |
|---|
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* 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 (fma.f64 b (fma.f64 b (-.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 1/6 binary64) (cos.f64 a))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 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)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (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 #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 1/6 binary64) (cos.f64 a)))) (cos.f64 a))) (-.f64 #s(literal 0 binary64) b) (-.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 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* 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))) |
(fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 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))) |
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (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 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (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)))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
(/ (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 a) (sin.f64 b)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(*.f64 a (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(* b r) |
(*.f64 b r) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 b (fma.f64 b (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(fma.f64 a (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
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(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
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(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ 1 (cos a)) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
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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))) |
(/ 1 (cos b)) |
(/.f64 #s(literal 1 binary64) (cos.f64 b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
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(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
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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 (- 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))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 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 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 a (sin.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)) |
(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)) |
a |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
b |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) b) |
b |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
a |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) a)) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) a)) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) a)) a) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (/ (* b (* r (pow (sin a) 2))) (pow (cos a) 3)) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 b (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 r (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* b (- (/ (* b (* r (pow (sin a) 3))) (pow (cos a) 4)) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(* -1 (/ r (* b (sin a)))) |
(-.f64 #s(literal 0 binary64) (/.f64 r (*.f64 b (sin.f64 a)))) |
(/ (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (cos a)) (* b (pow (sin a) 2))))) b) |
(/.f64 (fma.f64 (cos.f64 a) (/.f64 r (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 r (sin.f64 a))) (-.f64 #s(literal 0 binary64) b)) |
(/ (- (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (cos a)) (* b (pow (sin a) 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 r (sin.f64 a))) (*.f64 r (+.f64 (/.f64 (cos.f64 a) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 b (*.f64 b (pow.f64 (sin.f64 a) #s(literal 3 binary64)))))))) b) |
(/ (- (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (pow (cos a) 3)) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (cos a)) (* b (pow (sin a) 2))) (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3))))) b) |
(/.f64 (-.f64 (neg.f64 (fma.f64 r (/.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (*.f64 (*.f64 b b) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 4 binary64))))) (/.f64 r (sin.f64 a)))) (*.f64 r (+.f64 (/.f64 (cos.f64 a) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 b (*.f64 b (pow.f64 (sin.f64 a) #s(literal 3 binary64)))))))) b) |
(* -1 (/ r (* b (sin a)))) |
(-.f64 #s(literal 0 binary64) (/.f64 r (*.f64 b (sin.f64 a)))) |
(* -1 (/ (+ (/ r (sin a)) (/ (* r (cos a)) (* b (pow (sin a) 2)))) b)) |
(/.f64 (fma.f64 (cos.f64 a) (/.f64 r (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 r (sin.f64 a))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (pow (cos a) 2)) (* b (pow (sin a) 3)))) (/ (* r (cos a)) (pow (sin a) 2))) b)) (/ r (sin a))) b)) |
(/.f64 (-.f64 (/.f64 r (sin.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r (+.f64 (/.f64 (cos.f64 a) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 b (*.f64 b (pow.f64 (sin.f64 a) #s(literal 3 binary64))))))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos a) 3)) (* b (pow (sin a) 4))) (* -1 (/ (* r (pow (cos a) 2)) (pow (sin a) 3)))) b)) (/ (* r (cos a)) (pow (sin a) 2))) b)) (/ r (sin a))) b)) |
(/.f64 (-.f64 (/.f64 r (sin.f64 a)) (-.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) r) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 4 binary64)))))) (*.f64 b b)) (/.f64 (*.f64 (cos.f64 a) r) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
r |
(+ r (* a (* b r))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) r) |
(+ r (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1/2 r)))) (* -1 (* b r))))) |
(fma.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b r)) r) |
(+ r (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b r)) (+ (* 1/6 (* b r)) (* b (+ (* -1 (* (pow b 2) r)) (* -1/2 r))))))) (+ (* -1 (* (pow b 2) r)) (* -1/2 r)))) (* -1 (* b r))))) |
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(/ r (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(cos.f64 a) |
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(* -1 (* b (sin a))) |
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(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) b) #s(literal 1 binary64)) |
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(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
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(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
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(* a (- (* 1/6 (pow a 2)) 1)) |
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(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
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(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
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(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
(*.f64 (fma.f64 (-.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))) (neg.f64 r)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
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(/ (* b (* r (sin a))) (pow (cos a) 2)) |
(/.f64 (*.f64 b (*.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
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(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
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(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
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(/ (* b (* r (sin a))) (pow (cos a) 2)) |
(/.f64 (*.f64 b (*.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) |
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(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) |
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (*.f64 b (cos.f64 a))))) |
r |
(+ r (* a (* b r))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) r) |
(+ r (* a (+ (* 1/2 (* a r)) (* b r)))) |
(fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r) |
(+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r)))) |
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 a (*.f64 b r)) #s(literal 5/6 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 b r)) r) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
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(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
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(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
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(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
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(/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
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(/ (* b (sin a)) (pow (cos a) 2)) |
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(/ (* b (sin a)) (pow (cos a) 2)) |
(/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/ (* b (sin a)) (pow (cos a) 2)) |
(/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* a b) |
(*.f64 b a) |
(* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1 b))))) |
(*.f64 a (fma.f64 a (*.f64 a (*.f64 b #s(literal 5/6 binary64))) b)) |
(* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b))))) (* -1 b))))) |
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(* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (+ (* 1/120 b) (* (pow a 2) (- (* -1/5040 b) (+ (* -1 (- (* 1/120 b) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b)))) (+ (* -2/45 b) (* 1/3 (- (* -1/6 b) (* -1 b)))))))) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b))))) (* -1 b))))) |
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(/ (* b (sin a)) (pow (cos a) 2)) |
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(/ (* b (sin a)) (pow (cos a) 2)) |
(/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow a 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 a a)) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.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 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a))) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b) |
(/.f64 (*.f64 r (fma.f64 (cos.f64 a) (/.f64 (sin.f64 b) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 0 binary64) b)) |
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) r) (sin.f64 a)) (*.f64 r (fma.f64 (sin.f64 b) (/.f64 (cos.f64 a) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (sin.f64 b)) (*.f64 b (*.f64 b (pow.f64 (sin.f64 a) #s(literal 3 binary64)))))))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b) |
(/.f64 (-.f64 (neg.f64 (*.f64 r (+.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (sin.f64 b)) (*.f64 (*.f64 b b) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 4 binary64)))))))) (*.f64 r (fma.f64 (sin.f64 b) (/.f64 (cos.f64 a) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (sin.f64 b)) (*.f64 b (*.f64 b (pow.f64 (sin.f64 a) #s(literal 3 binary64)))))))) b) |
(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)) |
(/.f64 (*.f64 r (fma.f64 (cos.f64 a) (/.f64 (sin.f64 b) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b)) |
(/.f64 (-.f64 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 r (fma.f64 (sin.f64 b) (/.f64 (cos.f64 a) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (sin.f64 b)) (*.f64 b (*.f64 b (pow.f64 (sin.f64 a) #s(literal 3 binary64))))))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b)) |
(/.f64 (-.f64 (*.f64 (sin.f64 b) (/.f64 r (sin.f64 a))) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) r) (/.f64 (sin.f64 b) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (sin.f64 b)) (/.f64 r (pow.f64 (sin.f64 a) #s(literal 3 binary64)))))) (*.f64 b b)) (/.f64 (*.f64 (cos.f64 a) (*.f64 (sin.f64 b) r)) (*.f64 b (pow.f64 (sin.f64 a) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(+ (* a (* b (* r (sin b)))) (* r (sin b))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(fma.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 (sin.f64 b) r) (fma.f64 (-.f64 #s(literal 0 binary64) b) b #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (*.f64 b r))) (*.f64 (sin.f64 b) r)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(fma.f64 a (fma.f64 b (*.f64 (sin.f64 b) r) (*.f64 a (neg.f64 (fma.f64 a (fma.f64 b (*.f64 (*.f64 (sin.f64 b) r) (fma.f64 (-.f64 #s(literal 0 binary64) b) b #s(literal -1/2 binary64))) (*.f64 (*.f64 (sin.f64 b) (*.f64 b r)) #s(literal -1/3 binary64))) (*.f64 (*.f64 (sin.f64 b) r) (fma.f64 (-.f64 #s(literal 0 binary64) b) b #s(literal -1/2 binary64))))))) (*.f64 (sin.f64 b) r)) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* a b) |
(*.f64 b a) |
(* a (+ b (* -1/6 (* (pow a 2) b)))) |
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) b)) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b)))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 a (*.f64 a #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) b)) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b))))))) |
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (*.f64 b (fma.f64 a (*.f64 a #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 b #s(literal -1/6 binary64))) b)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.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 (fma.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)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) 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)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (fma.f64 r #s(literal -5/48 binary64) (*.f64 r #s(literal 7/360 binary64))) (*.f64 r #s(literal 5/24 binary64))) (*.f64 #s(literal 1/2 binary64) r)) r) |
(/ 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)) |
Compiled 32 644 to 3 325 computations (89.8% saved)
83 alts after pruning (80 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 351 | 26 | 1 377 |
| Fresh | 24 | 54 | 78 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 378 | 83 | 1 461 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.0% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 10.2% | (/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))) | |
| 74.1% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) | |
| 59.2% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 74.0% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 74.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 51.1% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 50.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) | |
| 60.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 56.7% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) (cos.f64 (-.f64 a b))) | |
| 66.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b))) | |
| 59.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b)) | |
| 54.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 a)) | |
| 98.9% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (/.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)))))) | |
| ▶ | 99.5% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
| 52.5% | (*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) | |
| 54.3% | (*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b) | |
| 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 36.2% | (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) | |
| 61.0% | (*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) | |
| 66.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b)) | |
| 38.0% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) | |
| 37.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b)))) | |
| 50.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) | |
| 51.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) | |
| 29.7% | (*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) | |
| 74.4% | (*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) | |
| ▶ | 59.2% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
| 54.6% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 73.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 35.3% | (*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) | |
| 53.6% | (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r) (sin.f64 b)) | |
| 53.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) r) (sin.f64 b)) | |
| 99.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b)) | |
| 56.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) r) (sin.f64 b)) | |
| 50.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 59.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b)) | |
| 54.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b)) | |
| 51.2% | (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 39.5% | (*.f64 (sin.f64 b) r) | |
| 38.0% | (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))) | |
| 52.3% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 51.1% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) | |
| 50.9% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) | |
| 52.3% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 98.9% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 55.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 56.1% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 56.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 53.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| ▶ | 52.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
| 79.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/2 binary64)) (cos.f64 b))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| 60.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) | |
| 56.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) | |
| 64.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 52.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.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))))) | |
| 56.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) | |
| 34.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a))))) | |
| 35.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b)))) | |
| 74.4% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a)))))) | |
| 36.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) | |
| 31.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) | |
| 18.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))) | |
| 59.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) | |
| 54.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 51.2% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 37.9% | (*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))) | |
| 51.1% | (*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) | |
| 29.3% | (*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) | |
| 34.6% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.5% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.7% | (*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) | |
| ✓ | 51.2% | (*.f64 b (/.f64 r (cos.f64 a))) |
| ▶ | 34.0% | (*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
| ✓ | 36.0% | (*.f64 b r) |
| 36.4% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 3 204 to 2 060 computations (35.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 a) |
| ✓ | cost-diff | 0 | (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (sin.f64 a)) |
| ✓ | cost-diff | 0 | (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
| ✓ | cost-diff | -64 | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (cos.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 b)) |
| ✓ | cost-diff | -64 | (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) |
| ✓ | cost-diff | -64 | (*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
| ✓ | cost-diff | 0 | (fma.f64 b a #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (cos.f64 b) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
| ✓ | cost-diff | 0 | (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
| 2 776× | accelerator-lowering-fma.f32 |
| 2 776× | accelerator-lowering-fma.f64 |
| 1 816× | *-lowering-*.f32 |
| 1 816× | *-lowering-*.f64 |
| 690× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 237 |
| 1 | 74 | 231 |
| 2 | 143 | 229 |
| 3 | 302 | 229 |
| 4 | 560 | 229 |
| 5 | 846 | 229 |
| 6 | 1411 | 229 |
| 7 | 1988 | 229 |
| 8 | 2416 | 229 |
| 9 | 3031 | 229 |
| 10 | 3680 | 229 |
| 11 | 4106 | 229 |
| 12 | 4207 | 229 |
| 13 | 4215 | 229 |
| 14 | 4221 | 229 |
| 15 | 4473 | 229 |
| 16 | 4637 | 229 |
| 17 | 4645 | 229 |
| 18 | 4669 | 229 |
| 19 | 4689 | 229 |
| 20 | 4695 | 229 |
| 21 | 4695 | 229 |
| 22 | 4695 | 229 |
| 23 | 4695 | 229 |
| 24 | 4695 | 229 |
| 25 | 4699 | 229 |
| 0 | 4699 | 221 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) (sin b)) |
(/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) |
r |
(+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b)))) |
(cos b) |
b |
(cos a) |
a |
(* (sin a) (- 0 (sin b))) |
(sin a) |
(- 0 (sin b)) |
0 |
(sin b) |
(* b (* (+ (* b a) 1) r)) |
b |
(* (+ (* b a) 1) r) |
(+ (* b a) 1) |
a |
1 |
r |
(* (/ r (cos b)) (sin b)) |
(/ r (cos b)) |
r |
(cos b) |
b |
(sin b) |
(/ (* (sin b) r) (+ (* b (- 0 (sin a))) (cos a))) |
(* (sin b) r) |
(sin b) |
b |
r |
(+ (* b (- 0 (sin a))) (cos a)) |
(- 0 (sin a)) |
0 |
(sin a) |
a |
(cos a) |
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))) |
r |
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
(sin b) |
b |
(+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))) |
(neg (sin b)) |
(sin a) |
a |
(* (+ (* -1/2 (* b b)) 1) (cos a)) |
(+ (* -1/2 (* b b)) 1) |
-1/2 |
(* b b) |
1 |
(cos a) |
| Outputs |
|---|
(* (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) (sin b)) |
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64)))) |
(/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) |
(/.f64 r (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64)))) |
r |
(+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b)))) |
(-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64))) |
(cos b) |
(cos.f64 b) |
b |
(cos a) |
(cos.f64 a) |
a |
(* (sin a) (- 0 (sin b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64)) |
(sin a) |
(sin.f64 a) |
(- 0 (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
0 |
#s(literal 0 binary64) |
(sin b) |
(sin.f64 b) |
(* b (* (+ (* b a) 1) r)) |
(fma.f64 (fma.f64 b a #s(literal 1 binary64)) (fma.f64 r b #s(literal 0 binary64)) #s(literal 0 binary64)) |
b |
(* (+ (* b a) 1) r) |
(fma.f64 r (fma.f64 b a #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* b a) 1) |
(fma.f64 b a #s(literal 1 binary64)) |
a |
1 |
#s(literal 1 binary64) |
r |
(* (/ r (cos b)) (sin b)) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) #s(literal 0 binary64)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
r |
(cos b) |
(cos.f64 b) |
b |
(sin b) |
(sin.f64 b) |
(/ (* (sin b) r) (+ (* b (- 0 (sin a))) (cos a))) |
(fma.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) #s(literal 0 binary64)) |
(* (sin b) r) |
(fma.f64 r (sin.f64 b) #s(literal 0 binary64)) |
(sin b) |
(sin.f64 b) |
b |
r |
(+ (* b (- 0 (sin a))) (cos a)) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(- 0 (sin a)) |
(-.f64 #s(literal 0 binary64) (sin.f64 a)) |
0 |
#s(literal 0 binary64) |
(sin a) |
(sin.f64 a) |
a |
(cos a) |
(cos.f64 a) |
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))) |
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (-.f64 (fma.f64 (cos.f64 a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64)))) |
r |
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
(/.f64 (sin.f64 b) (-.f64 (fma.f64 (cos.f64 a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64)))) |
(sin b) |
(sin.f64 b) |
b |
(+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))) |
(-.f64 (fma.f64 (cos.f64 a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64))) |
(neg (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
(sin a) |
(sin.f64 a) |
a |
(* (+ (* -1/2 (* b b)) 1) (cos a)) |
(fma.f64 (cos.f64 a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* -1/2 (* b b)) 1) |
(fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(cos a) |
(cos.f64 a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
| ✓ | accuracy | 99.3% | (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
| ✓ | accuracy | 95.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.9% | (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) r) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 100.0% | (cos.f64 b) |
| ✓ | accuracy | 99.7% | (/.f64 r (cos.f64 b)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
| ✓ | accuracy | 100.0% | (fma.f64 b a #s(literal 1 binary64)) |
| ✓ | accuracy | 97.7% | (*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
| ✓ | accuracy | 94.4% | (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) |
| ✓ | accuracy | 99.8% | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
| ✓ | accuracy | 99.7% | (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
| 127.0ms | 256× | 0 | valid |
Compiled 231 to 38 computations (83.5% saved)
ival-sin: 50.0ms (52.1% of total)ival-mult: 20.0ms (20.8% of total)ival-cos: 11.0ms (11.5% of total)ival-div: 6.0ms (6.2% of total)ival-add: 5.0ms (5.2% of total)ival-sub: 2.0ms (2.1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b)))))> |
#<alt (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))> |
#<alt (cos b)> |
#<alt (cos a)> |
#<alt (+ (* b a) 1)> |
#<alt (* b (* (+ (* b a) 1) r))> |
#<alt (* (+ (* b a) 1) r)> |
#<alt (/ r (cos b))> |
#<alt (sin b)> |
#<alt (* (/ r (cos b)) (sin b))> |
#<alt (/ (* (sin b) r) (+ (* b (- 0 (sin a))) (cos a)))> |
#<alt (+ (* b (- 0 (sin a))) (cos a))> |
#<alt (- 0 (sin a))> |
#<alt (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))> |
#<alt (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))> |
#<alt (sin a)> |
#<alt (* (sin a) (- 0 (sin b)))> |
#<alt (* (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) (sin b))> |
#<alt (* (sin b) r)> |
#<alt (* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))))> |
#<alt (* (+ (* -1/2 (* b b)) 1) (cos a))> |
| Outputs |
|---|
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<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 (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 1> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))> |
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))> |
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt 1> |
#<alt (+ 1 (* a b))> |
#<alt (+ 1 (* a b))> |
#<alt (+ 1 (* a b))> |
#<alt (* a b)> |
#<alt (* b (+ a (/ 1 b)))> |
#<alt (* b (+ a (/ 1 b)))> |
#<alt (* b (+ a (/ 1 b)))> |
#<alt (* a b)> |
#<alt (* -1 (* b (- (* -1 a) (/ 1 b))))> |
#<alt (* -1 (* b (- (* -1 a) (/ 1 b))))> |
#<alt (* -1 (* b (- (* -1 a) (/ 1 b))))> |
#<alt 1> |
#<alt (+ 1 (* a b))> |
#<alt (+ 1 (* a b))> |
#<alt (+ 1 (* a b))> |
#<alt (* a b)> |
#<alt (* a (+ b (/ 1 a)))> |
#<alt (* a (+ b (/ 1 a)))> |
#<alt (* a (+ b (/ 1 a)))> |
#<alt (* a b)> |
#<alt (* -1 (* a (- (* -1 b) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 b) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 b) (/ 1 a))))> |
#<alt (* b r)> |
#<alt (* b (+ r (* a (* b r))))> |
#<alt (* b (+ r (* a (* b r))))> |
#<alt (* b (+ r (* a (* b r))))> |
#<alt (* a (* (pow b 2) r))> |
#<alt (* (pow b 2) (+ (* a r) (/ r b)))> |
#<alt (* (pow b 2) (+ (* a r) (/ r b)))> |
#<alt (* (pow b 2) (+ (* a r) (/ r b)))> |
#<alt (* a (* (pow b 2) r))> |
#<alt (* (pow b 2) (+ (* a r) (/ r b)))> |
#<alt (* (pow b 2) (+ (* a r) (/ r b)))> |
#<alt (* (pow b 2) (+ (* a r) (/ r b)))> |
#<alt (* b r)> |
#<alt (+ (* a (* (pow b 2) r)) (* b r))> |
#<alt (+ (* a (* (pow b 2) r)) (* b r))> |
#<alt (+ (* a (* (pow b 2) r)) (* b r))> |
#<alt (* a (* (pow b 2) r))> |
#<alt (* a (+ (* (pow b 2) r) (/ (* b r) a)))> |
#<alt (* a (+ (* (pow b 2) r) (/ (* b r) a)))> |
#<alt (* a (+ (* (pow b 2) r) (/ (* b r) a)))> |
#<alt (* a (* (pow b 2) r))> |
#<alt (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))> |
#<alt (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))> |
#<alt (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt (* b (* r (+ 1 (* a b))))> |
#<alt r> |
#<alt (+ r (* a (* b r)))> |
#<alt (+ r (* a (* b r)))> |
#<alt (+ r (* a (* b r)))> |
#<alt (* a (* b r))> |
#<alt (* b (+ (* a r) (/ r b)))> |
#<alt (* b (+ (* a r) (/ r b)))> |
#<alt (* b (+ (* a r) (/ r b)))> |
#<alt (* a (* b r))> |
#<alt (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))> |
#<alt (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))> |
#<alt (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))> |
#<alt r> |
#<alt (+ r (* a (* b r)))> |
#<alt (+ r (* a (* b r)))> |
#<alt (+ r (* a (* b r)))> |
#<alt (* a (* b r))> |
#<alt (* a (+ (* b r) (/ r a)))> |
#<alt (* a (+ (* b r) (/ r a)))> |
#<alt (* a (+ (* b r) (/ r a)))> |
#<alt (* a (* b r))> |
#<alt (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))> |
#<alt (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))> |
#<alt (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (* r (+ 1 (* a b)))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt r> |
#<alt (+ r (* 1/2 (* (pow b 2) r)))> |
#<alt (+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))> |
#<alt (+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (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 (/ (* 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 (* 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))) (* 1/24 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))) (* 1/24 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)))))> |
#<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 (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
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#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<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 (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))> |
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))> |
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))> |
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))> |
#<alt (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))> |
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))> |
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))> |
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | r | @ | 0 | (* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))) |
| 1.0ms | a | @ | inf | (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
| 1.0ms | b | @ | inf | (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
| 1.0ms | b | @ | inf | (* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))) |
| 1.0ms | a | @ | 0 | (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
| 1× | batch-egg-rewrite |
| 4 366× | accelerator-lowering-fma.f32 |
| 4 366× | accelerator-lowering-fma.f64 |
| 4 252× | /-lowering-/.f32 |
| 4 252× | /-lowering-/.f64 |
| 3 508× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 186 |
| 1 | 196 | 159 |
| 2 | 1523 | 154 |
| 0 | 8485 | 147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) |
(+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b)))) |
(cos b) |
(cos a) |
(+ (* b a) 1) |
(* b (* (+ (* b a) 1) r)) |
(* (+ (* b a) 1) r) |
(/ r (cos b)) |
(sin b) |
(* (/ r (cos b)) (sin b)) |
(/ (* (sin b) r) (+ (* b (- 0 (sin a))) (cos a))) |
(+ (* b (- 0 (sin a))) (cos a)) |
(- 0 (sin a)) |
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
(+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))) |
(sin a) |
(* (sin a) (- 0 (sin b))) |
(* (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) (sin b)) |
(* (sin b) r) |
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))) |
(* (+ (* -1/2 (* b b)) 1) (cos a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (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) r) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (cos.f64 (-.f64 b a))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (cos.f64 (-.f64 b a))))) |
(cos.f64 (+.f64 b a)) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (cos.f64 (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (cos.f64 (-.f64 b a))) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (cos.f64 (-.f64 b a))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1/2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (/.f64 (sin.f64 a) (sin.f64 b)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.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 #s(literal 1 binary64) (/.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))) #s(literal 1 binary64))) |
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(sin.f64 a) |
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(+.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(+.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a)) |
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) |
(fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)) |
(/.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (cos.f64 a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) (*.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (-.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))) (-.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a))) |
(*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)) |
(*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))) |
(*.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 10 202× | accelerator-lowering-fma.f32 |
| 10 202× | accelerator-lowering-fma.f64 |
| 8 148× | *-lowering-*.f32 |
| 8 148× | *-lowering-*.f64 |
| 3 406× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 725 | 7630 |
| 1 | 2462 | 7188 |
| 0 | 8443 | 6828 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -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))) |
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) |
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) |
1 |
(+ 1 (* a b)) |
(+ 1 (* a b)) |
(+ 1 (* a b)) |
(* a b) |
(* b (+ a (/ 1 b))) |
(* b (+ a (/ 1 b))) |
(* b (+ a (/ 1 b))) |
(* a b) |
(* -1 (* b (- (* -1 a) (/ 1 b)))) |
(* -1 (* b (- (* -1 a) (/ 1 b)))) |
(* -1 (* b (- (* -1 a) (/ 1 b)))) |
1 |
(+ 1 (* a b)) |
(+ 1 (* a b)) |
(+ 1 (* a b)) |
(* a b) |
(* a (+ b (/ 1 a))) |
(* a (+ b (/ 1 a))) |
(* a (+ b (/ 1 a))) |
(* a b) |
(* -1 (* a (- (* -1 b) (/ 1 a)))) |
(* -1 (* a (- (* -1 b) (/ 1 a)))) |
(* -1 (* a (- (* -1 b) (/ 1 a)))) |
(* b r) |
(* b (+ r (* a (* b r)))) |
(* b (+ r (* a (* b r)))) |
(* b (+ r (* a (* b r)))) |
(* a (* (pow b 2) r)) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(* a (* (pow b 2) r)) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(* b r) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(* a (* (pow b 2) r)) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(* a (* (pow b 2) r)) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
(* b (* r (+ 1 (* a b)))) |
r |
(+ r (* a (* b r))) |
(+ r (* a (* b r))) |
(+ r (* a (* b r))) |
(* a (* b r)) |
(* b (+ (* a r) (/ r b))) |
(* b (+ (* a r) (/ r b))) |
(* b (+ (* a r) (/ r b))) |
(* a (* b r)) |
(* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b))))) |
(* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b))))) |
(* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b))))) |
r |
(+ r (* a (* b r))) |
(+ r (* a (* b r))) |
(+ r (* a (* b r))) |
(* a (* b r)) |
(* a (+ (* b r) (/ r a))) |
(* a (+ (* b r) (/ r a))) |
(* a (+ (* b r) (/ r a))) |
(* a (* b r)) |
(* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a))))) |
(* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a))))) |
(* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a))))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(* r (+ 1 (* a b))) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
r |
(+ r (* 1/2 (* (pow b 2) r))) |
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 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 b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (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) |
(/ (* 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 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 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b) |
(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b)) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(* r (sin b)) |
(+ (* a (* b (* r (sin b)))) (* r (sin b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(* -1 (* b (sin a))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(* -1 a) |
(* a (- (* 1/6 (pow a 2)) 1)) |
(* a (- (* (pow a 2) (+ 1/6 (* -1/120 (pow a 2)))) 1)) |
(* a (- (* (pow a 2) (+ 1/6 (* (pow a 2) (- (* 1/5040 (pow a 2)) 1/120)))) 1)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin a)) |
(* -1 (sin 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)))) |
(* -2 (/ (sin b) (* (pow b 2) (cos a)))) |
(/ (+ (* -4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (sin b) (cos a)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (sin b) (cos a)))) (* 4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3)) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (sin b) (cos a)))) (+ (* 4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2)) |
(* -2 (/ (sin b) (* (pow b 2) (cos a)))) |
(/ (+ (* -4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (sin b) (cos a)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (sin b) (cos a)))) (* 4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3)) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (sin b) (cos a)))) (+ (* 4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2)) |
(/ (sin b) (+ 1 (* -1/2 (pow b 2)))) |
(+ (/ (sin b) (+ 1 (* -1/2 (pow b 2)))) (/ (* a (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (sin b) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (pow (sin b) 2) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (sin b) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (sin b) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (pow (sin b) 3) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (sin b) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (pow (sin b) 2) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (sin b) (+ 1 (* -1/2 (pow b 2))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(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)))))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1 (* a (sin b))) (* -1/2 (pow b 2)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 (sin b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2))))))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/6 (* a (sin b))))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin 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)))) |
(/ (* 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 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)) |
(* 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)) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* 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)))) |
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a)))) |
(/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2)) |
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a)))) |
(/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2)) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2)))))))))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
| Outputs |
|---|
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 b (fma.f64 b (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 b (fma.f64 b (+.f64 (fma.f64 (fma.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/2 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 #s(literal 0 binary64) b) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(fma.f64 a (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 a (fma.f64 (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b))) (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a b)) |
(fma.f64 a b #s(literal 1 binary64)) |
(+ 1 (* a b)) |
(fma.f64 a b #s(literal 1 binary64)) |
(+ 1 (* a b)) |
(fma.f64 a b #s(literal 1 binary64)) |
(* a b) |
(*.f64 a b) |
(* b (+ a (/ 1 b))) |
(fma.f64 a b #s(literal 1 binary64)) |
(* b (+ a (/ 1 b))) |
(fma.f64 a b #s(literal 1 binary64)) |
(* b (+ a (/ 1 b))) |
(fma.f64 a b #s(literal 1 binary64)) |
(* a b) |
(*.f64 a b) |
(* -1 (* b (- (* -1 a) (/ 1 b)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (- (* -1 a) (/ 1 b)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (- (* -1 a) (/ 1 b)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a b)) |
(fma.f64 a b #s(literal 1 binary64)) |
(+ 1 (* a b)) |
(fma.f64 a b #s(literal 1 binary64)) |
(+ 1 (* a b)) |
(fma.f64 a b #s(literal 1 binary64)) |
(* a b) |
(*.f64 a b) |
(* a (+ b (/ 1 a))) |
(fma.f64 a b #s(literal 1 binary64)) |
(* a (+ b (/ 1 a))) |
(fma.f64 a b #s(literal 1 binary64)) |
(* a (+ b (/ 1 a))) |
(fma.f64 a b #s(literal 1 binary64)) |
(* a b) |
(*.f64 a b) |
(* -1 (* a (- (* -1 b) (/ 1 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (* a (- (* -1 b) (/ 1 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (* a (- (* -1 b) (/ 1 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* a (* b r)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (+ r (* a (* b r)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (+ r (* a (* b r)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* a (* (pow b 2) r)) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(* a (* (pow b 2) r)) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(* b r) |
(*.f64 r b) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* a (* (pow b 2) r)) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(* a (* (pow b 2) r)) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
(* b (* r (+ 1 (* a b)))) |
(*.f64 r (*.f64 b (fma.f64 a b #s(literal 1 binary64)))) |
r |
(+ r (* a (* b r))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(+ r (* a (* b r))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(+ r (* a (* b r))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* a (* b r)) |
(*.f64 r (*.f64 a b)) |
(* b (+ (* a r) (/ r b))) |
(*.f64 b (fma.f64 r a (/.f64 r b))) |
(* b (+ (* a r) (/ r b))) |
(*.f64 b (fma.f64 r a (/.f64 r b))) |
(* b (+ (* a r) (/ r b))) |
(*.f64 b (fma.f64 r a (/.f64 r b))) |
(* a (* b r)) |
(*.f64 r (*.f64 a b)) |
(* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 (fma.f64 r a (/.f64 r b))))) |
(* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 (fma.f64 r a (/.f64 r b))))) |
(* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 (fma.f64 r a (/.f64 r b))))) |
r |
(+ r (* a (* b r))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(+ r (* a (* b r))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(+ r (* a (* b r))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* a (* b r)) |
(*.f64 r (*.f64 a b)) |
(* a (+ (* b r) (/ r a))) |
(*.f64 a (fma.f64 r b (/.f64 r a))) |
(* a (+ (* b r) (/ r a))) |
(*.f64 a (fma.f64 r b (/.f64 r a))) |
(* a (+ (* b r) (/ r a))) |
(*.f64 a (fma.f64 r b (/.f64 r a))) |
(* a (* b r)) |
(*.f64 r (*.f64 a b)) |
(* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (fma.f64 r b (/.f64 r a)))) |
(* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (fma.f64 r b (/.f64 r a)))) |
(* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (fma.f64 r b (/.f64 r a)))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(* r (+ 1 (* a b))) |
(*.f64 r (fma.f64 a b #s(literal 1 binary64))) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
r |
(+ r (* 1/2 (* (pow b 2) r))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r) |
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r) |
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 r #s(literal 5/24 binary64))) (*.f64 r #s(literal 1/2 binary64))) r) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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) |
(/ (* 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)) |
(/.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 r) |
(*.f64 r b) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) 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))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) 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))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (fma.f64 r #s(literal 1/72 binary64) (*.f64 r #s(literal -1/720 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/ (* 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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(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -16 binary64) (sin.f64 b)) (/.f64 (pow.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) (sin.f64 b)) (/.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) (*.f64 b (*.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 b)) (cos.f64 a)))) (*.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))))) (*.f64 b b)) |
(* -2 (/ (sin b) (* (pow b 2) (cos a)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 b)) (*.f64 b (*.f64 b (cos.f64 a)))) |
(/ (+ (* -4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (sin b) (cos a)))) (pow b 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sin.f64 b)) (/.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) (*.f64 b (*.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 b)) (cos.f64 a))) (*.f64 b b)) |
(/ (- (+ (* -8 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (sin b) (cos a)))) (* 4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sin.f64 b)) (/.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) (*.f64 b (*.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 b)) (cos.f64 a)))) (*.f64 b b)) |
(/ (- (+ (* -16 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3)) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (sin b) (cos a)))) (+ (* 4 (/ (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2)) |
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -16 binary64) (sin.f64 b)) (/.f64 (pow.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) (sin.f64 b)) (/.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) (*.f64 b (*.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 b)) (cos.f64 a)))) (*.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))))) (*.f64 b b)) |
(/ (sin b) (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ (/ (sin b) (+ 1 (* -1/2 (pow b 2)))) (/ (* a (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) |
(fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (sin b) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (pow (sin b) 2) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (sin b) (+ 1 (* -1/2 (pow b 2))))) |
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (sin b) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (pow (sin b) 3) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (sin b) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (pow (sin b) 2) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (sin b) (+ 1 (* -1/2 (pow b 2))))) |
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(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* (pow b 2) (+ (* -1 (/ (* (sin a) (sin b)) (pow b 2))) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* a (sin b))) (* -1/2 (pow b 2)))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 (sin b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2))))))))) |
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/6 (* a (sin b))))))))) |
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(* -1 (* a (sin b))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (sin.f64 b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 a (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
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(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
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(fma.f64 a (*.f64 a (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))))))) |
(fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2)))))))))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
Compiled 38 049 to 3 778 computations (90.1% saved)
98 alts after pruning (94 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 496 | 52 | 1 548 |
| Fresh | 33 | 42 | 75 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 533 | 98 | 1 631 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 10.2% | (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b))) | |
| 59.2% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 54.6% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) | |
| 54.4% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) | |
| 59.1% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) | |
| 74.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 51.1% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| 58.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) | |
| 50.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) | |
| 58.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) | |
| 34.4% | (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) | |
| 60.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 56.7% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) (cos.f64 (-.f64 a b))) | |
| 66.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b))) | |
| 59.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b)) | |
| 54.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 a)) | |
| 53.2% | (*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 53.0% | (*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 52.0% | (*.f64 (/.f64 r (fma.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| 98.9% | (*.f64 (/.f64 r (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| 52.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))) (sin.f64 b)) | |
| 53.7% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 99.4% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 50.4% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.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 b b)))))) | |
| 62.4% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) | |
| 62.4% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 56.2% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))) (sin.f64 b)) | |
| 60.0% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 54.3% | (*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b) | |
| 56.4% | (*.f64 (/.f64 r (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 59.2% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b)) | |
| 66.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b)) | |
| 50.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) | |
| 29.7% | (*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) | |
| 74.4% | (*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) | |
| 37.8% | (*.f64 (/.f64 r (cos.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) | |
| 37.7% | (*.f64 (/.f64 r (cos.f64 b)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b)))) | |
| 37.8% | (*.f64 (/.f64 r (cos.f64 b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| ✓ | 59.2% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
| 36.0% | (*.f64 (/.f64 r (cos.f64 b)) b) | |
| 54.6% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 53.0% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b))) | |
| 53.6% | (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r) (sin.f64 b)) | |
| 99.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b)) | |
| 54.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b)) | |
| 59.2% | (*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) | |
| 34.0% | (*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) | |
| 51.2% | (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 59.1% | (*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| 39.5% | (*.f64 (sin.f64 b) r) | |
| 42.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 38.0% | (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))) | |
| 51.8% | (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) | |
| 51.3% | (*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) | |
| 56.1% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| 60.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) | |
| 56.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) | |
| 52.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.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))))) | |
| 34.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a))))) | |
| 35.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b)))) | |
| 74.4% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a)))))) | |
| 36.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) | |
| 31.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) | |
| 18.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))) | |
| 59.2% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) | |
| 51.2% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 37.9% | (*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))) | |
| 59.2% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) | |
| 51.1% | (*.f64 r (*.f64 b (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) | |
| 59.2% | (*.f64 r (tan.f64 b)) | |
| 35.8% | (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) | |
| 35.7% | (*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) | |
| 25.2% | (*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) | |
| 33.2% | (*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) | |
| 34.6% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.5% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.7% | (*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) | |
| ✓ | 51.2% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 33.1% | (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) | |
| 33.9% | (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) | |
| 33.2% | (*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) | |
| 33.9% | (*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) | |
| 13.4% | (*.f64 b (*.f64 (*.f64 a b) r)) | |
| 26.6% | (*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) | |
| 26.0% | (*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) | |
| ✓ | 36.0% | (*.f64 b r) |
| 32.4% | (*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) | |
| 13.7% | (*.f64 a (*.f64 r (*.f64 b b))) | |
| 36.4% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 5 108 to 1 904 computations (62.7% saved)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) b) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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 (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a))))) |
(*.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))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (*.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 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 r (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) |
(*.f64 (/.f64 r (cos.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.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))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(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) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.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 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b 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 a)) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))) |
(*.f64 b (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
(*.f64 r (*.f64 b (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))) (sin.f64 b)) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) |
(*.f64 (/.f64 r (cos.f64 b)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b)))) |
(*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (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 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))) |
(*.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 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(*.f64 (/.f64 r (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/2 binary64)) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.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 b b)))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (fma.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (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 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (-.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 b) r) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b))))))) (-.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 b 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 b b))))))) (/.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 r (/.f64 (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))) (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 (-.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 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (*.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 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
5 calls:
| 117.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 93.0ms | r |
| 85.0ms | b |
| 66.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 58.0ms | 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 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) b) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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 (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a))))) |
(*.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))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (*.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 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 r (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))))))))) |
(*.f64 (/.f64 r (cos.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b))) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.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))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(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) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b)))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.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 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b 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 a)) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))) |
(*.f64 b (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
(*.f64 r (*.f64 b (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))) (sin.f64 b)) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) |
(*.f64 (/.f64 r (cos.f64 b)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b)))) |
(*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (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))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
5 calls:
| 121.0ms | r |
| 110.0ms | a |
| 88.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 70.0ms | b |
| 64.0ms | (/.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 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
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(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
5 calls:
| 85.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 74.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 53.0ms | b |
| 52.0ms | r |
| 44.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 1 | r |
| 74.4% | 1 | a |
| 74.4% | 1 | b |
| 74.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 74.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) b) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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 (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a))))) |
(*.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))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (*.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 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a)))))) |
5 calls:
| 51.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 49.0ms | r |
| 37.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 31.0ms | b |
| 23.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 1 | a |
| 74.4% | 1 | r |
| 74.4% | 1 | b |
| 74.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 74.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) b) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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 (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
5 calls:
| 55.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 42.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 30.0ms | r |
| 24.0ms | a |
| 21.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 1 | a |
| 74.1% | 1 | r |
| 74.1% | 1 | b |
| 74.1% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 74.1% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) b) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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 (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 23.0ms | r |
| 22.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 16.0ms | b |
| 14.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 14.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 1 | r |
| 74.1% | 1 | a |
| 74.1% | 1 | b |
| 74.1% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 74.1% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) b) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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 (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
5 calls:
| 22.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 18.0ms | r |
| 15.0ms | a |
| 15.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.4% | 2 | r |
| 74.2% | 3 | a |
| 74.5% | 3 | b |
| 63.8% | 3 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 74.5% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) b) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) b) |
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (tan.f64 b)) |
2 calls:
| 13.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 74.4% | 3 | b |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
5 calls:
| 9.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 8.0ms | b |
| 7.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 7.0ms | r |
| 7.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 1 | r |
| 59.2% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 59.2% | 1 | a |
| 59.2% | 1 | b |
| 59.2% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
Total -18.1b remaining (-44.1%)
Threshold costs -18.1b (-44.1%)
| Inputs |
|---|
(*.f64 b r) |
(*.f64 a (*.f64 r (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 a b) r)) |
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r)) |
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r)) |
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r)) |
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a)))) |
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r)) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64)))) |
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r)))) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r))) |
| Outputs |
|---|
(*.f64 b r) |
5 calls:
| 9.0ms | a |
| 8.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 7.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 6.0ms | r |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | b |
| 36.0% | 1 | r |
| 36.0% | 1 | a |
| 36.0% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 36.0% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 34 to 24 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.015162374355965094 | 0.032367553684979504 |
| 18.0ms | -0.33446023662740487 | -0.0006796533280362622 |
| 14.0ms | 105× | 1 | valid |
| 7.0ms | 103× | 0 | valid |
Compiled 516 to 341 computations (33.9% saved)
ival-cos: 5.0ms (36.2% of total)ival-add: 2.0ms (14.5% of total)ival-div: 2.0ms (14.5% of total)adjust: 2.0ms (14.5% of total)ival-mult: 2.0ms (14.5% of total)ival-sin: 2.0ms (14.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.015162374355965094 | 0.032367553684979504 |
| 19.0ms | -0.33446023662740487 | -0.0006796533280362622 |
| 16.0ms | 113× | 1 | valid |
| 6.0ms | 95× | 0 | valid |
Compiled 451 to 302 computations (33% saved)
ival-cos: 5.0ms (32.4% of total)ival-sin: 3.0ms (19.5% of total)ival-add: 2.0ms (13% of total)ival-div: 2.0ms (13% of total)adjust: 2.0ms (13% of total)ival-mult: 2.0ms (13% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.001434166146739469 | 0.001643083415177835 |
| 0.0ms | -0.029084354493429124 | -0.021312641429950995 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 46× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 209 |
| 1 | 115 | 209 |
| 2 | 131 | 209 |
| 3 | 140 | 209 |
| 4 | 145 | 209 |
| 5 | 146 | 209 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (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 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b 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 -5476377146882523/72057594037927936 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 1152921504606847/36028797018963968 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))) |
(if (<=.f64 b #s(literal -1098878309078401/36028797018963968 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 8358680908399641/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/144115188075855872 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 3458764513820541/2305843009213693952 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b)))) |
(*.f64 r (tan.f64 b)) |
(*.f64 b r) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.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 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b)))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b 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 -5476377146882523/72057594037927936 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 1152921504606847/36028797018963968 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))) |
(if (<=.f64 b #s(literal -5476377146882523/72057594037927936 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 1152921504606847/36028797018963968 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))) |
(if (<=.f64 b #s(literal -1098878309078401/36028797018963968 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 8358680908399641/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))) |
(if (<=.f64 b #s(literal -1098878309078401/36028797018963968 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 8358680908399641/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/144115188075855872 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 3458764513820541/2305843009213693952 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b)))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -3602879701896397/144115188075855872 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 3458764513820541/2305843009213693952 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b)))) |
(*.f64 r (tan.f64 b)) |
(*.f64 b r) |
(*.f64 r b) |
| 9 408× | accelerator-lowering-fma.f32 |
| 9 408× | accelerator-lowering-fma.f64 |
| 9 406× | accelerator-lowering-fma.f32 |
| 9 406× | accelerator-lowering-fma.f64 |
| 7 282× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2069 | 1116 |
| 3 | 7705 | 1116 |
| 0 | 8285 | 1075 |
| 0 | 873 | 8792 |
| 1 | 2991 | 7858 |
| 0 | 9055 | 7620 |
| 0 | 32 | 210 |
| 1 | 181 | 137 |
| 2 | 1624 | 137 |
| 0 | 9145 | 137 |
| 0 | 8 | 22 |
| 1 | 39 | 22 |
| 2 | 229 | 22 |
| 3 | 1984 | 22 |
| 0 | 10215 | 22 |
| 0 | 36 | 186 |
| 1 | 196 | 159 |
| 2 | 1523 | 154 |
| 0 | 8485 | 147 |
| 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 |
Compiled 619 to 344 computations (44.4% saved)
(negabs r)
Compiled 696 to 330 computations (52.6% saved)
Loading profile data...