
Time bar (total: 15.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.2s | 5 842× | 1 | valid |
| 181.0ms | 2 414× | 0 | valid |
ival-cos: 281.0ms (32.8% of total)ival-sin: 214.0ms (25% of total)adjust: 110.0ms (12.8% of total)ival-add: 108.0ms (12.6% of total)ival-div: 76.0ms (8.9% of total)ival-mult: 59.0ms (6.9% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 684× | times-frac |
| 402× | associate-*r* |
| 382× | unsub-neg |
| 370× | div-sub |
| 362× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 95 |
| 1 | 91 | 93 |
| 2 | 194 | 93 |
| 3 | 477 | 93 |
| 4 | 1394 | 93 |
| 5 | 2339 | 93 |
| 6 | 2936 | 93 |
| 7 | 3307 | 93 |
| 8 | 3489 | 93 |
| 9 | 3706 | 93 |
| 10 | 3935 | 93 |
| 11 | 3941 | 93 |
| 12 | 3941 | 93 |
| 13 | 3949 | 93 |
| 14 | 3969 | 93 |
| 15 | 3977 | 93 |
| 16 | 3977 | 93 |
| 0 | 8 | 9 |
| 1 | 12 | 9 |
| 2 | 15 | 9 |
| 3 | 16 | 9 |
| 0 | 16 | 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))) |
(/ (* (sin b) (neg r)) (cos (+ b a))) |
(/ (* r (sin b)) (cos (+ (neg a) b))) |
(/ (* r (sin b)) (cos (- b a))) |
(/ (* r (sin (neg b))) (cos (+ a (neg b)))) |
(/ (* (sin b) (neg r)) (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)))) |
(/ (* (sin b) (neg r)) (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))) |
(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 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 r (sin.f64 b)) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 r (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 |
| 77.0ms | 350× | 1 | valid |
| 12.0ms | 162× | 0 | valid |
Compiled 78 to 36 computations (53.8% saved)
adjust: 24.0ms (36.2% of total)ival-cos: 17.0ms (25.7% of total)ival-sin: 11.0ms (16.6% of total)ival-add: 5.0ms (7.5% of total)ival-div: 4.0ms (6% of total)ival-mult: 3.0ms (4.5% 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 (*.f64 r (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 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (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 | 25 |
| 1 | 12 | 25 |
| 2 | 15 | 25 |
| 3 | 16 | 25 |
| 0 | 16 | 25 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
r |
(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)) |
(*.f64 r (sin.f64 b)) |
r |
(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 (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| ✓ | accuracy | 74.1% | (cos.f64 (+.f64 a b)) |
| 28.0ms | 175× | 1 | valid |
| 6.0ms | 81× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-cos: 8.0ms (35% of total)ival-sin: 6.0ms (26.2% of total)adjust: 3.0ms (13.1% of total)ival-add: 2.0ms (8.7% of total)ival-div: 2.0ms (8.7% of total)ival-mult: 2.0ms (8.7% 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 (* r (sin 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 (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt 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 | |
|---|---|---|---|---|
| 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))) |
| 1.0ms | a | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1× | batch-egg-rewrite |
| 6 510× | *-lowering-*.f32 |
| 6 510× | *-lowering-*.f64 |
| 3 846× | accelerator-lowering-fma.f32 |
| 3 846× | accelerator-lowering-fma.f64 |
| 3 176× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 39 | 19 |
| 2 | 229 | 19 |
| 3 | 2047 | 19 |
| 0 | 8434 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin 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))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(neg.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (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))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (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 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) (neg.f64 (-.f64 #s(literal 0 binary64) r))) |
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) r) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (sin.f64 b)) |
(sin.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 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))) |
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 a b))) (-.f64 a b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (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 (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 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (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 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(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))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (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 (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 (-.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))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (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 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #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)))) (-.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 (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 (fma.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 (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)) |
(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 |
| 10 934× | accelerator-lowering-fma.f32 |
| 10 934× | accelerator-lowering-fma.f64 |
| 4 746× | *-lowering-*.f32 |
| 4 746× | *-lowering-*.f64 |
| 2 894× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 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)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
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 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (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 b (fma.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) (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 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (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)))) |
(/ (* 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 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 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))) |
(fma.f64 a (-.f64 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (fma.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 a (fma.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a)) (/.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))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
b |
(* 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 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) |
(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 (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (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)) (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) #s(literal 0 binary64))) (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)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 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)) (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 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 3 953 to 533 computations (86.5% saved)
37 alts after pruning (37 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 197 | 37 | 234 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 198 | 37 | 235 |
| Status | Accuracy | Program |
|---|---|---|
| 42.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 36.4% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) | |
| 50.7% | (/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 51.1% | (/.f64 (*.f64 r (*.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))) | |
| 50.8% | (/.f64 (*.f64 r (*.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)))) (cos.f64 (+.f64 a b))) | |
| 50.6% | (/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 52.7% | (/.f64 (*.f64 r (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)) (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64))) (cos.f64 a))) | |
| ▶ | 52.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
| 55.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b))) | |
| 56.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) | |
| 98.6% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (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)))))))) | |
| 74.0% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| ▶ | 53.0% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
| 48.7% | (/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))) | |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 54.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 51.2% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| ▶ | 51.2% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 51.1% | (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a 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 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64))) | |
| 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))) | |
| 74.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 74.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| ▶ | 74.1% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 73.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 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 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 74.1% | (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 51.7% | (*.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)))) | |
| 51.2% | (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.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 1 452 to 920 computations (36.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
| ✓ | cost-diff | 6016 | (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
| ✓ | 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 r b) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r b) (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 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 2 280× | accelerator-lowering-fma.f32 |
| 2 280× | accelerator-lowering-fma.f64 |
| 1 544× | *-lowering-*.f32 |
| 1 544× | *-lowering-*.f64 |
| 638× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 197 |
| 1 | 69 | 197 |
| 2 | 119 | 195 |
| 3 | 204 | 195 |
| 4 | 293 | 195 |
| 5 | 504 | 195 |
| 6 | 872 | 195 |
| 7 | 1381 | 195 |
| 8 | 2013 | 195 |
| 9 | 2874 | 195 |
| 10 | 3573 | 195 |
| 11 | 3891 | 195 |
| 12 | 4007 | 195 |
| 13 | 4040 | 195 |
| 14 | 4056 | 195 |
| 15 | 4063 | 195 |
| 16 | 4266 | 195 |
| 17 | 4366 | 195 |
| 18 | 4383 | 195 |
| 19 | 4383 | 195 |
| 0 | 4383 | 193 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(* r (sin b)) |
r |
(sin b) |
b |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(- 0 (sin b)) |
0 |
(sin a) |
a |
(* (cos a) (cos b)) |
(cos a) |
(cos b) |
(/ (* r b) (cos a)) |
(* r b) |
r |
b |
(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 a) (* b (sin a)))) |
(* r (sin b)) |
r |
(sin b) |
b |
(- (cos a) (* b (sin a))) |
(cos a) |
a |
(* b (sin a)) |
(sin a) |
(/ (* r (sin b)) (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a))) |
(* r (sin b)) |
r |
(sin b) |
b |
(+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)) |
(- (+ (* b (* (cos a) -1/2)) 0) (sin a)) |
(+ (* b (* (cos a) -1/2)) 0) |
(* (cos a) -1/2) |
(cos a) |
a |
-1/2 |
0 |
(sin a) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64)))) |
(* r (sin b)) |
(fma.f64 r (sin.f64 b) #s(literal 0 binary64)) |
r |
(sin b) |
(sin.f64 b) |
b |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (fma.f64 (sin.f64 b) (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) |
(/ (* r b) (cos a)) |
(fma.f64 r (/.f64 b (cos.f64 a)) #s(literal 0 binary64)) |
(* r b) |
(fma.f64 r b #s(literal 0 binary64)) |
r |
b |
(cos a) |
(cos.f64 a) |
a |
(* (/ r (cos (+ b a))) (sin b)) |
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (cos.f64 (+.f64 b a))) |
(/ 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 a) (* b (sin a)))) |
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (-.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) #s(literal 0 binary64)))) |
(* r (sin b)) |
(fma.f64 r (sin.f64 b) #s(literal 0 binary64)) |
r |
(sin b) |
(sin.f64 b) |
b |
(- (cos a) (* b (sin a))) |
(-.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) #s(literal 0 binary64))) |
(cos a) |
(cos.f64 a) |
a |
(* b (sin a)) |
(fma.f64 b (sin.f64 a) #s(literal 0 binary64)) |
(sin a) |
(sin.f64 a) |
(/ (* r (sin b)) (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (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 b (sin.f64 a) #s(literal 0 binary64)))) |
(* r (sin b)) |
(fma.f64 r (sin.f64 b) #s(literal 0 binary64)) |
r |
(sin b) |
(sin.f64 b) |
b |
(+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (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 b (sin.f64 a) #s(literal 0 binary64))) |
(- (+ (* b (* (cos a) -1/2)) 0) (sin a)) |
(-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 (cos.f64 a) #s(literal 1/2 binary64) #s(literal 0 binary64)) (sin.f64 a))) |
(+ (* b (* (cos a) -1/2)) 0) |
(fma.f64 (cos.f64 a) (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (cos a) -1/2) |
(fma.f64 (cos.f64 a) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(cos a) |
(cos.f64 a) |
a |
-1/2 |
#s(literal -1/2 binary64) |
0 |
#s(literal 0 binary64) |
(sin a) |
(sin.f64 a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 95.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
| ✓ | accuracy | 100.0% | (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
| ✓ | accuracy | 99.8% | (*.f64 b (sin.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
| ✓ | 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% | (*.f64 r b) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| ✓ | accuracy | 99.9% | (*.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 | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 120.0ms | 174× | 1 | valid |
| 19.0ms | 82× | 0 | valid |
Compiled 202 to 33 computations (83.7% saved)
ival-cos: 24.0ms (22.6% of total)ival-sin: 21.0ms (19.8% of total)ival-mult: 20.0ms (18.9% of total)adjust: 14.0ms (13.2% of total)ival-div: 12.0ms (11.3% of total)ival-sub: 8.0ms (7.5% of total)ival-add: 7.0ms (6.6% 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 (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 b) (cos a))> |
#<alt (cos a)> |
#<alt (* r b)> |
#<alt (/ r (cos (+ b a)))> |
#<alt (cos (+ b a))> |
#<alt (+ b a)> |
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))> |
#<alt (- (cos a) (* b (sin a)))> |
#<alt (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a))> |
#<alt (/ (* r (sin b)) (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)))> |
#<alt (- (+ (* b (* (cos a) -1/2)) 0) (sin a))> |
#<alt (* r (sin b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (/ r (cos (+ b a))) (sin b))> |
#<alt (* b (sin a))> |
#<alt (+ (* b (* (cos a) -1/2)) 0)> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
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#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))> |
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))> |
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* -8 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow b 2) (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2))> |
#<alt (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* b (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* b (pow (cos a) 3))))) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) b)) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (+ (/ (* a (* b (* r (sin b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (* -1 (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))> |
#<alt (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))> |
#<alt (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))> |
#<alt (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))> |
#<alt (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))> |
#<alt (* -1/2 b)> |
#<alt (+ (* -1 a) (* -1/2 b))> |
#<alt (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))> |
#<alt (+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (/ (* 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 (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 (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 b)> |
#<alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))> |
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))> |
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | -inf | (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)) |
| 4.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
| 3.0ms | b | @ | 0 | (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
| 3.0ms | b | @ | -inf | (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)) |
| 3.0ms | r | @ | 0 | (/ (* r b) (cos a)) |
| 1× | batch-egg-rewrite |
| 6 770× | accelerator-lowering-fma.f32 |
| 6 770× | accelerator-lowering-fma.f64 |
| 5 426× | /-lowering-/.f32 |
| 5 426× | /-lowering-/.f64 |
| 4 622× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 163 |
| 1 | 197 | 131 |
| 2 | 1566 | 131 |
| 0 | 8502 | 129 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(sin b) |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(- 0 (sin b)) |
(/ (* r b) (cos a)) |
(cos a) |
(* r b) |
(/ r (cos (+ b a))) |
(cos (+ b a)) |
(+ b a) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(- (cos a) (* b (sin a))) |
(+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)) |
(/ (* r (sin b)) (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a))) |
(- (+ (* b (* (cos a) -1/2)) 0) (sin a)) |
(* r (sin b)) |
(* (cos a) (cos b)) |
(* (/ r (cos (+ b a))) (sin b)) |
(* b (sin a)) |
(+ (* b (* (cos a) -1/2)) 0) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (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 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.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 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (-.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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (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 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))))) |
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(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3/2 binary64)) b)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b (cos.f64 a)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 b (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 b (*.f64 b #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 b (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 b (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (/.f64 (*.f64 b (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))) (cos.f64 a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (cos.f64 a)) (/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 b b) b) (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) b)) |
(*.f64 (/.f64 (*.f64 b b) (cos.f64 a)) (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 b b) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 b (cos.f64 a))) (/.f64 (*.f64 b b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) b)) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) b) (/.f64 (*.f64 b b) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 b b) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 b (cos.f64 a))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 b b) (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 b #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 a))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 a)) (/.f64 (*.f64 b b) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 b (cos.f64 a)) (cos.f64 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 b (cos.f64 a)) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 b (cos.f64 a)) (*.f64 b #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))) (cos.f64 a))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 b b) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (cos.f64 a))) |
(*.f64 (/.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 a)) (/.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) b)) |
(*.f64 (/.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) (*.f64 b (cos.f64 a))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) b) b) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) b) (cos.f64 a)) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) b) #s(literal -1/2 binary64)) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) b) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) b) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) b) (*.f64 b (cos.f64 a))) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) b) (*.f64 b #s(literal -1/2 binary64))) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (/.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (cos.f64 a)) (/.f64 b (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 b (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 b b)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 b (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 b (cos.f64 a))) (/.f64 b #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 b #s(literal -1/2 binary64))) (/.f64 b (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) b) (/.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (cos.f64 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (*.f64 b (cos.f64 a))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (cos.f64 a))) |
| 1× | egg-herbie |
| 9 416× | accelerator-lowering-fma.f32 |
| 9 416× | accelerator-lowering-fma.f64 |
| 7 314× | *-lowering-*.f32 |
| 7 314× | *-lowering-*.f64 |
| 3 158× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 6467 |
| 1 | 2113 | 6221 |
| 2 | 7325 | 6191 |
| 0 | 8124 | 5958 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
b |
(* 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)) |
(/ (* 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)) |
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) |
(* 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 b))) |
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(/ 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)) |
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(+ (* 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)))) |
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(+ (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 (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* 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) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (- (* -1/2 a) b))) |
(+ 1 (* a (- (* a (- (* 1/6 (* a b)) 1/2)) b))) |
(- (cos a) (* b (sin a))) |
(- (cos a) (* b (sin a))) |
(- (cos a) (* b (sin a))) |
(- (cos a) (* b (sin a))) |
(- (cos a) (* b (sin a))) |
(- (cos a) (* b (sin a))) |
(- (cos a) (* b (sin a))) |
(- (cos a) (* 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 (- (/ (cos a) b) (sin a))) |
(* b (- (/ (cos a) b) (sin a))) |
(* b (- (/ (cos a) b) (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (- (* -1 (/ (cos a) b)) (* -1 (sin a))))) |
(* -1 (* b (- (* -1 (/ (cos a) b)) (* -1 (sin a))))) |
(* -1 (* b (- (* -1 (/ (cos a) b)) (* -1 (sin a))))) |
(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)) (* -1/2 (* b (cos a)))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2)))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
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(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (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))) (* -1/2 (/ 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 (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)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* -8 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow b 2) (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2)) |
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* b (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* b (pow (cos a) 3))))) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) b)) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2)) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(+ (/ (* a (* b (* r (sin b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(* -1 (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(* -1/2 (* b (cos a))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* -1/2 (* b (cos a))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1/2 b) |
(+ (* -1 a) (* -1/2 b)) |
(+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1))) |
(+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1))) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(cos 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)))) |
(* 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)) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (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 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (+.f64 (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.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 (+.f64 (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 (+.f64 (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) b) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (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 (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64))) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (sin.f64 b) (*.f64 r #s(literal -1/2 binary64))) (cos.f64 b))) (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 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))) |
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a (fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (sin.f64 b) (*.f64 r #s(literal -1/2 binary64))) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (sin.f64 b) (*.f64 r #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 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
b |
(* 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 b (*.f64 b #s(literal -1/2 binary64)) #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 (sin.f64 a) (*.f64 b #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 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
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#s(literal 1 binary64) |
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a |
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b |
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a |
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(* -1 (* a (- (* -1 (/ b a)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
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(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a)))) |
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(/.f64 (-.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 (sin.f64 b) (sin.f64 a))))) 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 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (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 (sin.f64 b) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (*.f64 b (pow.f64 (sin.f64 a) #s(literal 3 binary64)))))))) b) |
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(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a)))) |
(* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)) |
(/.f64 (-.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 (sin.f64 b) (sin.f64 a))))) 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)) |
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(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
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(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
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(+ (* 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))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) |
1 |
#s(literal 1 binary64) |
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(-.f64 #s(literal 1 binary64) (*.f64 b a)) |
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(fma.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) b) #s(literal 1 binary64)) |
(+ 1 (* a (- (* a (- (* 1/6 (* a b)) 1/2)) b))) |
(fma.f64 a (-.f64 (*.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) b) #s(literal 1 binary64)) |
(- (cos a) (* b (sin a))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(- (cos a) (* b (sin a))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(- (cos a) (* b (sin a))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(- (cos a) (* b (sin a))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(- (cos a) (* b (sin a))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(- (cos a) (* b (sin a))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(- (cos a) (* b (sin a))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(- (cos a) (* b (sin a))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) |
(cos 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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(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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(* b (- (/ (cos a) b) (sin a))) |
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(* -1 (* b (sin a))) |
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(cos a) |
(cos.f64 a) |
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(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
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(*.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1/2 binary64))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(fma.f64 (*.f64 a a) (*.f64 b (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 #s(literal 1/1440 binary64) (*.f64 a a) #s(literal -1/48 binary64))) (*.f64 b #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
Compiled 54 345 to 4 817 computations (91.1% saved)
68 alts after pruning (68 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 854 | 59 | 1 913 |
| Fresh | 23 | 9 | 32 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 882 | 68 | 1 950 |
| Status | Accuracy | Program |
|---|---|---|
| 50.7% | (/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 62.5% | (/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))) | |
| 62.4% | (/.f64 (*.f64 r (*.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)))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 50.4% | (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| ▶ | 52.3% | (/.f64 (*.f64 r (*.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 (*.f64 r (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 51.6% | (/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) | |
| 98.9% | (/.f64 (*.f64 r (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)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 98.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (*.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)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (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 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 60.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 56.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 64.8% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 51.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (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 a) (cos.f64 b)))) | |
| 98.9% | (/.f64 (*.f64 r (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 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 55.1% | (/.f64 (*.f64 r (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)))) | |
| 56.0% | (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) | |
| 52.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 36.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 98.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (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) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 98.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64)) (pow.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64))) (fma.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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (fma.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 36.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 54.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 34.5% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) | |
| ▶ | 52.0% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
| 34.4% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 34.6% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 54.4% | (/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 51.2% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a 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))) | |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 50.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 35.8% | (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) | |
| 52.1% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (fma.f64 b (sin.f64 a) (cos.f64 a))) | |
| 98.9% | (*.f64 (/.f64 (*.f64 r (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 a a))))) (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.5% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) r) | |
| 74.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| ▶ | 99.6% | (*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 98.9% | (*.f64 (/.f64 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 a a))))) (*.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.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)) | |
| 66.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) | |
| 37.9% | (*.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)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 50.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) | |
| ▶ | 51.1% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
| 50.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #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 a (-.f64 a b) (*.f64 b 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)) | |
| 51.2% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 53.0% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b))) | |
| 51.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) | |
| 74.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 45.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 39.5% | (*.f64 r (sin.f64 b)) | |
| ▶ | 36.0% | (*.f64 r b) |
| 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 3 364 to 1 892 computations (43.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (*.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))) |
| ✓ | cost-diff | 0 | (*.f64 r (*.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)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (*.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)))) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
| ✓ | cost-diff | 6016 | (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #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 r (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | 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 | (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 9 030× | accelerator-lowering-fma.f32 |
| 9 030× | accelerator-lowering-fma.f64 |
| 5 526× | *-lowering-*.f32 |
| 5 526× | *-lowering-*.f64 |
| 2 716× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 371 |
| 1 | 131 | 371 |
| 2 | 392 | 356 |
| 3 | 1224 | 356 |
| 4 | 2656 | 356 |
| 5 | 4120 | 356 |
| 6 | 5279 | 356 |
| 7 | 6534 | 356 |
| 0 | 8432 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ r (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) (sin b)) |
(/ r (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
r |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(- 0 (sin b)) |
0 |
(sin b) |
b |
(sin a) |
a |
(* (cos a) (cos b)) |
(cos a) |
(cos b) |
(* r b) |
r |
b |
(* (/ r (cos (+ b a))) (* b (+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1))) |
(/ r (cos (+ b a))) |
r |
(cos (+ b a)) |
(+ b a) |
b |
a |
(* b (+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1)) |
(+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1) |
(* b b) |
(+ (* b (* b 1/120)) -1/6) |
(* b 1/120) |
1/120 |
-1/6 |
1 |
(/ (* r b) (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a))) |
(* r b) |
r |
b |
(+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)) |
(- (+ (* b (* (cos a) -1/2)) 0) (sin a)) |
(+ (* b (* (cos a) -1/2)) 0) |
(* (cos a) -1/2) |
(cos a) |
a |
-1/2 |
0 |
(sin a) |
(/ (* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) |
r |
(* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1)) |
b |
(+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1) |
(* b b) |
(+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6) |
(+ (* (* b b) -1/5040) 1/120) |
-1/5040 |
1/120 |
-1/6 |
1 |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(- 0 (sin b)) |
0 |
(sin b) |
(sin a) |
a |
(* (cos a) (cos b)) |
(cos a) |
(cos b) |
| Outputs |
|---|
(* (/ r (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) (sin b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) #s(literal 0 binary64)))) |
(/ r (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) #s(literal 0 binary64)))) |
r |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) #s(literal 0 binary64))) |
(- 0 (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
0 |
#s(literal 0 binary64) |
(sin b) |
(sin.f64 b) |
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) |
(* r b) |
(*.f64 r b) |
r |
b |
(* (/ r (cos (+ b a))) (* b (+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1))) |
(/.f64 (*.f64 r (*.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)))) (cos.f64 (+.f64 b a))) |
(/ 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 |
(* b (+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1)) |
(*.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 b) (+ (* b (* b 1/120)) -1/6)) 1) |
(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 b) |
(*.f64 b b) |
(+ (* b (* b 1/120)) -1/6) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* b 1/120) |
(*.f64 b #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(/ (* r b) (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a))) |
(/.f64 (*.f64 r b) (-.f64 (fma.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 b (sin.f64 a) #s(literal 0 binary64)))) |
(* r b) |
(*.f64 r b) |
r |
b |
(+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)) |
(-.f64 (fma.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 b (sin.f64 a) #s(literal 0 binary64))) |
(- (+ (* b (* (cos a) -1/2)) 0) (sin a)) |
(-.f64 (fma.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) |
(+ (* b (* (cos a) -1/2)) 0) |
(fma.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(* (cos a) -1/2) |
(*.f64 (cos.f64 a) #s(literal -1/2 binary64)) |
(cos a) |
(cos.f64 a) |
a |
-1/2 |
#s(literal -1/2 binary64) |
0 |
#s(literal 0 binary64) |
(sin a) |
(sin.f64 a) |
(/ (* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (*.f64 r b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b 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))) (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) #s(literal 0 binary64)))) |
(* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) |
(*.f64 (*.f64 r b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b 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))) |
r |
(* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1)) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b 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))) |
b |
(+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b 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)) |
(* b b) |
(*.f64 b b) |
(+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6) |
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(+ (* (* b b) -1/5040) 1/120) |
(fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) #s(literal 0 binary64))) |
(- 0 (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
0 |
#s(literal 0 binary64) |
(sin b) |
(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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 r (*.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)))) |
| ✓ | accuracy | 99.8% | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.2% | (*.f64 r (*.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)))) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) |
| ✓ | accuracy | 99.9% | (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 82.5% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
| ✓ | accuracy | 99.8% | (*.f64 b #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 97.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
| ✓ | accuracy | 74.1% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.7% | (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 157.0ms | 174× | 1 | valid |
| 30.0ms | 82× | 0 | valid |
Compiled 355 to 49 computations (86.2% saved)
ival-mult: 43.0ms (29% of total)ival-cos: 24.0ms (16.2% of total)ival-sin: 20.0ms (13.5% of total)adjust: 16.0ms (10.8% of total)ival-add: 15.0ms (10.1% of total)const: 15.0ms (10.1% of total)ival-div: 9.0ms (6.1% of total)ival-sub: 5.0ms (3.4% 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 (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) (sin b))> |
#<alt (/ r (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))> |
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))> |
#<alt (- 0 (sin b))> |
#<alt (* r b)> |
#<alt (* (/ r (cos (+ b a))) (* b (+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1)))> |
#<alt (/ r (cos (+ b a)))> |
#<alt (cos (+ b a))> |
#<alt (+ b a)> |
#<alt (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a))> |
#<alt (/ (* r b) (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)))> |
#<alt (- (+ (* b (* (cos a) -1/2)) 0) (sin a))> |
#<alt (/ (* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))> |
#<alt (* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1)))> |
#<alt (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))> |
#<alt (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1)> |
#<alt (* (cos a) (cos b))> |
#<alt (* b 1/120)> |
#<alt (+ (* b (* (cos a) -1/2)) 0)> |
#<alt (+ (* (* b b) -1/5040) 1/120)> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
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#<alt (/ (- (+ (* -2 (/ r (cos a))) (* -1 (/ (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (sin a)) (* b (pow (cos a) 2))))) b)> |
#<alt (/ (- (+ (* -2 (/ r (cos a))) (* -1 (/ (+ (* -8 (/ (* r (sin a)) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (sin a)) (* b (pow (cos a) 2)))) (+ (* 4 (/ r (* (pow b 2) (cos a)))) (* 8 (/ (* r (pow (sin a) 2)) (* (pow b 2) (pow (cos a) 3))))))) b)> |
#<alt (* -2 (/ r (* b (cos a))))> |
#<alt (* -1 (/ (+ (* -4 (/ (* r (sin a)) (* b (pow (cos a) 2)))) (* 2 (/ r (cos a)))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) b)) (* 4 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (* 2 (/ r (cos a)))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (sin a) (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (* 8 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) b)) (* 4 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (* 2 (/ r (cos a)))) b))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (+ (/ (* a (* (pow b 2) r)) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 3) r) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* b (* r (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* (pow b 2) r) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* (pow b 2) r) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (+ (* -1 (/ (* (pow b 3) r) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* b (* r (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))) (/ (* (pow b 2) (* r (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 3)))))) (+ (* -1 (/ (* (pow b 3) r) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* b (* r (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* (pow b 2) r) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))> |
#<alt (* -1 (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))> |
#<alt (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))> |
#<alt (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))> |
#<alt (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))> |
#<alt (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))> |
#<alt (* -1/2 b)> |
#<alt (+ (* -1 a) (* -1/2 b))> |
#<alt (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))> |
#<alt (+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (- (* -1/2 (* b (cos a))) (sin a))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* -1/5040 (/ (* (pow b 7) r) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* (pow b 7) (+ (* -1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))> |
#<alt (* (pow b 7) (+ (* -1/6 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* -1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))))> |
#<alt (* (pow b 7) (+ (* -1/6 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* -1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (+ (* 1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (/ r (* (pow b 6) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))))> |
#<alt (* -1/5040 (/ (* (pow b 7) r) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (* (pow b 7) (+ (* -1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (* 1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))> |
#<alt (* -1 (* (pow b 7) (+ (* -1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* 1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/6 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))))> |
#<alt (* -1 (* (pow b 7) (+ (* -1 (/ r (* (pow b 6) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* -1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* 1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/6 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b))> |
#<alt (+ (/ (* a (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))) (pow (cos b) 2)) (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 2))))) (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 2))))) (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b)))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* -1/5040 (* (pow b 7) r))> |
#<alt (* (pow b 7) (+ (* -1/5040 r) (* 1/120 (/ r (pow b 2)))))> |
#<alt (* (pow b 7) (+ (* -1/6 (/ r (pow b 4))) (+ (* -1/5040 r) (* 1/120 (/ r (pow b 2))))))> |
#<alt (* (pow b 7) (+ (* -1/6 (/ r (pow b 4))) (+ (* -1/5040 r) (+ (* 1/120 (/ r (pow b 2))) (/ r (pow b 6))))))> |
#<alt (* -1/5040 (* (pow b 7) r))> |
#<alt (* -1 (* (pow b 7) (+ (* -1/120 (/ r (pow b 2))) (* 1/5040 r))))> |
#<alt (* -1 (* (pow b 7) (+ (* -1/120 (/ r (pow b 2))) (+ (* 1/5040 r) (* 1/6 (/ r (pow b 4)))))))> |
#<alt (* -1 (* (pow b 7) (+ (* -1 (/ r (pow b 6))) (+ (* -1/120 (/ r (pow b 2))) (+ (* 1/5040 r) (* 1/6 (/ r (pow b 4))))))))> |
#<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 (* -1/5040 (pow b 7))> |
#<alt (* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
#<alt (* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))> |
#<alt (* (pow b 7) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4)))))> |
#<alt (* -1/5040 (pow b 7))> |
#<alt (* -1 (* (pow b 7) (- 1/5040 (* 1/120 (/ 1 (pow b 2))))))> |
#<alt (* -1 (* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (* 1/120 (/ 1 (pow b 2))))))> |
#<alt (* -1 (* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow b 2)))> |
#<alt (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))> |
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))> |
#<alt (* -1/5040 (pow b 6))> |
#<alt (* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
#<alt (* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))> |
#<alt (* (pow b 6) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4)))))> |
#<alt (* -1/5040 (pow b 6))> |
#<alt (* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
#<alt (* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4)))))> |
#<alt (* (pow b 6) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4)))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* 1/120 b)> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 b)> |
#<alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))> |
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))> |
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow b 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow b 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow b 2)))> |
#<alt (* -1/5040 (pow b 2))> |
#<alt (* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
#<alt (* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
#<alt (* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
#<alt (* -1/5040 (pow b 2))> |
#<alt (* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
#<alt (* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
#<alt (* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | 0 | (* (/ r (cos (+ b a))) (* b (+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1))) |
| 2.0ms | r | @ | 0 | (/ (* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
| 2.0ms | r | @ | 0 | (* (/ r (cos (+ b a))) (* b (+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1))) |
| 1.0ms | a | @ | inf | (/ (* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
| 1.0ms | a | @ | 0 | (/ (* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
| 1× | batch-egg-rewrite |
| 5 314× | accelerator-lowering-fma.f32 |
| 5 314× | accelerator-lowering-fma.f64 |
| 4 566× | /-lowering-/.f32 |
| 4 566× | /-lowering-/.f64 |
| 4 534× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 261 |
| 1 | 300 | 205 |
| 2 | 2605 | 205 |
| 0 | 8097 | 188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ r (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) (sin b)) |
(/ r (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))) |
(- 0 (sin b)) |
(* r b) |
(* (/ r (cos (+ b a))) (* b (+ (* (* b b) (+ (* b (* b 1/120)) -1/6)) 1))) |
(/ r (cos (+ b a))) |
(cos (+ b a)) |
(+ b a) |
(+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a)) |
(/ (* r b) (+ (* b (- (+ (* b (* (cos a) -1/2)) 0) (sin a))) (cos a))) |
(- (+ (* b (* (cos a) -1/2)) 0) (sin a)) |
(/ (* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))) |
(* r (* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1))) |
(* b (+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1)) |
(+ (* (* b b) (+ (* (* b b) (+ (* (* b b) -1/5040) 1/120)) -1/6)) 1) |
(* (cos a) (cos b)) |
(* b 1/120) |
(+ (* b (* (cos a) -1/2)) 0) |
(+ (* (* b b) -1/5040) 1/120) |
| Outputs |
|---|
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (sin.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (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 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (+.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 (sin.f64 b) (/.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 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))))))) |
(*.f64 (/.f64 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 a a))))) (*.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (*.f64 r (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 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))))) |
(*.f64 (/.f64 (*.f64 r (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 a a))))) (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.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 r (/.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 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b)))) (-.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)))) (+.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) |
(-.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))))) |
(neg.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (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) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)))) |
(/.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)) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)) #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) (-.f64 #s(literal 0 binary64) (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))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (+.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 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))))) |
(*.f64 (/.f64 r (+.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 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))))))) |
(*.f64 (/.f64 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 a a))))) (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 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 a a))))) (*.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) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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))))) |
(cos.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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.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 a 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 a 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 a 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 a 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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) (/.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 a a))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) (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 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 a a))))) (cos.f64 (-.f64 a 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))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) |
(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))))) |
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(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) b) (*.f64 b #s(literal -1/2 binary64))) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (/.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (cos.f64 a)) (/.f64 b (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 b (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 b b)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 b (pow.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 b (cos.f64 a))) (/.f64 b #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 b #s(literal -1/2 binary64))) (/.f64 b (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) b) (/.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (cos.f64 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (*.f64 b (cos.f64 a))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) #s(literal 0 binary64)) (*.f64 b (cos.f64 a))) (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (cos.f64 a))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))) |
(fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 b #s(literal -1/5040 binary64)) b #s(literal 1/120 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/604800 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
| 1× | egg-herbie |
| 9 426× | accelerator-lowering-fma.f32 |
| 9 426× | accelerator-lowering-fma.f64 |
| 7 576× | *-lowering-*.f32 |
| 7 576× | *-lowering-*.f64 |
| 3 868× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 679 | 8704 |
| 1 | 2227 | 8197 |
| 2 | 7670 | 8176 |
| 0 | 8188 | 7726 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ 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))) |
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(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos b) |
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(* -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)) |
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(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos (+ a b))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (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)))) |
(* 1/120 (/ (* (pow b 5) r) (cos (+ a b)))) |
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (* 1/120 (/ r (cos (+ a b)))))) |
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (+ (* 1/120 (/ r (cos (+ a b)))) (/ r (* (pow b 4) (cos (+ a b))))))) |
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (+ (* 1/120 (/ r (cos (+ a b)))) (/ r (* (pow b 4) (cos (+ a b))))))) |
(* 1/120 (/ (* (pow b 5) r) (cos (- a (* -1 b))))) |
(* -1 (* (pow b 5) (+ (* -1/120 (/ r (cos (- a (* -1 b))))) (* 1/6 (/ r (* (pow b 2) (cos (- a (* -1 b))))))))) |
(* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (cos (- a (* -1 b)))))) (+ (* -1/120 (/ r (cos (- a (* -1 b))))) (* 1/6 (/ r (* (pow b 2) (cos (- a (* -1 b)))))))))) |
(* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (cos (- a (* -1 b)))))) (+ (* -1/120 (/ r (cos (- a (* -1 b))))) (* 1/6 (/ r (* (pow b 2) (cos (- a (* -1 b)))))))))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b)) |
(+ (/ (* a (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) (pow (cos b) 2)) (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))))) (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))))) (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos (+ a b))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos (+ a b))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos (+ a b))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos (+ a b))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos (- b (* -1 a)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos (- b (* -1 a)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos (- b (* -1 a)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (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))) |
(/ 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))) |
(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)) (* -1/2 (* b (cos a)))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2)))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* 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 (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* 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)))) |
(* -2 (/ r (* b (cos a)))) |
(/ (+ (* -2 (/ r (cos a))) (* 4 (/ (* r (sin a)) (* b (pow (cos a) 2))))) b) |
(/ (- (+ (* -2 (/ r (cos a))) (* -1 (/ (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (sin a)) (* b (pow (cos a) 2))))) b) |
(/ (- (+ (* -2 (/ r (cos a))) (* -1 (/ (+ (* -8 (/ (* r (sin a)) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (sin a)) (* b (pow (cos a) 2)))) (+ (* 4 (/ r (* (pow b 2) (cos a)))) (* 8 (/ (* r (pow (sin a) 2)) (* (pow b 2) (pow (cos a) 3))))))) b) |
(* -2 (/ r (* b (cos a)))) |
(* -1 (/ (+ (* -4 (/ (* r (sin a)) (* b (pow (cos a) 2)))) (* 2 (/ r (cos a)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) b)) (* 4 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (* 2 (/ r (cos a)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (sin a) (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (* 8 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) b)) (* 4 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (* 2 (/ r (cos a)))) b)) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(+ (/ (* a (* (pow b 2) r)) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* b r) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 3) r) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* b (* r (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* (pow b 2) r) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* b r) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* (pow b 2) r) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (+ (* -1 (/ (* (pow b 3) r) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* b (* r (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))) (/ (* (pow b 2) (* r (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 3)))))) (+ (* -1 (/ (* (pow b 3) r) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* b (* r (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* (pow b 2) r) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* b r) (+ 1 (* -1/2 (pow b 2))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(* -1 (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(* -1/2 (* b (cos a))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* -1/2 (* b (cos a))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1/2 b) |
(+ (* -1 a) (* -1/2 b)) |
(+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1))) |
(+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1))) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -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)))) |
(* -1/5040 (/ (* (pow b 7) r) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* (pow b 7) (+ (* -1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))) |
(* (pow b 7) (+ (* -1/6 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* -1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))) |
(* (pow b 7) (+ (* -1/6 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* -1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (+ (* 1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (/ r (* (pow b 6) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))) |
(* -1/5040 (/ (* (pow b 7) r) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (* (pow b 7) (+ (* -1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (* 1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))) |
(* -1 (* (pow b 7) (+ (* -1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* 1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/6 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))))) |
(* -1 (* (pow b 7) (+ (* -1 (/ r (* (pow b 6) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* -1/120 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* 1/5040 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/6 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b)) |
(+ (/ (* a (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))) (pow (cos b) 2)) (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 2))))) (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))))) (pow (cos b) 2))))) (/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (cos b))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* b (* r (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))) |
(* 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))))))) |
(* -1/5040 (* (pow b 7) r)) |
(* (pow b 7) (+ (* -1/5040 r) (* 1/120 (/ r (pow b 2))))) |
(* (pow b 7) (+ (* -1/6 (/ r (pow b 4))) (+ (* -1/5040 r) (* 1/120 (/ r (pow b 2)))))) |
(* (pow b 7) (+ (* -1/6 (/ r (pow b 4))) (+ (* -1/5040 r) (+ (* 1/120 (/ r (pow b 2))) (/ r (pow b 6)))))) |
(* -1/5040 (* (pow b 7) r)) |
(* -1 (* (pow b 7) (+ (* -1/120 (/ r (pow b 2))) (* 1/5040 r)))) |
(* -1 (* (pow b 7) (+ (* -1/120 (/ r (pow b 2))) (+ (* 1/5040 r) (* 1/6 (/ r (pow b 4))))))) |
(* -1 (* (pow b 7) (+ (* -1 (/ r (pow b 6))) (+ (* -1/120 (/ r (pow b 2))) (+ (* 1/5040 r) (* 1/6 (/ r (pow b 4)))))))) |
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)))) |
(* -1/5040 (pow b 7)) |
(* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4))))) |
(* (pow b 7) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4))))) |
(* -1/5040 (pow b 7)) |
(* -1 (* (pow b 7) (- 1/5040 (* 1/120 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (* 1/120 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6)))))) |
1 |
(+ 1 (* -1/6 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))) |
(* -1/5040 (pow b 6)) |
(* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4))))) |
(* (pow b 6) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4))))) |
(* -1/5040 (pow b 6)) |
(* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 6) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4))))) |
(* (pow b 6) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4))))) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* 1/120 b) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
1/120 |
(+ 1/120 (* -1/5040 (pow b 2))) |
(+ 1/120 (* -1/5040 (pow b 2))) |
(+ 1/120 (* -1/5040 (pow b 2))) |
(* -1/5040 (pow b 2)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* -1/5040 (pow b 2)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (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 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 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 b (fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(/.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 (*.f64 a r) (/.f64 (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 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (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 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (neg.f64 (fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))))) (/.f64 r (cos.f64 b))) |
(/ 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 b (*.f64 b #s(literal -1/2 binary64)) #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)))) |
(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 (sin.f64 b) (-.f64 #s(literal 0 binary64) a) (*.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 (sin.f64 b) (*.f64 a #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (-.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))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a 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))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 b a))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 b a))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal -1 binary64) (/.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 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(*.f64 b (*.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 a) b))))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(*.f64 (*.f64 b b) (-.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))) (/.f64 (sin.f64 a) b))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(*.f64 (*.f64 b b) (-.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))) (/.f64 (sin.f64 a) b))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(*.f64 b (*.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 a) b))))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(*.f64 (*.f64 b b) (-.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)) b))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(*.f64 (*.f64 b b) (-.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)) b))) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2)))))) |
(fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2)))))) |
(fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.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 (/ (* 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 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) b) (/.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 (+ (* -1/2 (/ (* 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)))) |
(*.f64 b (fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (fma.f64 (sin.f64 a) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* -2 (/ r (* b (cos a)))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(/ (+ (* -2 (/ r (cos a))) (* 4 (/ (* r (sin a)) (* b (pow (cos a) 2))))) b) |
(/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal 4 binary64)) (*.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b) |
(/ (- (+ (* -2 (/ r (cos a))) (* -1 (/ (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (sin a)) (* b (pow (cos a) 2))))) b) |
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(/ (- (+ (* -2 (/ r (cos a))) (* -1 (/ (+ (* -8 (/ (* r (sin a)) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ r (cos a))) (* 8 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (sin a)) (* b (pow (cos a) 2)))) (+ (* 4 (/ r (* (pow b 2) (cos a)))) (* 8 (/ (* r (pow (sin a) 2)) (* (pow b 2) (pow (cos a) 3))))))) b) |
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(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -1/5040 binary64)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 b b)))) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 b b)))) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 b b)))) |
(* -1/5040 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -1/5040 binary64)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 b b)))) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 b b)))) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 b b)))) |
Compiled 65 141 to 4 996 computations (92.3% saved)
81 alts after pruning (80 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 779 | 27 | 1 806 |
| Fresh | 10 | 53 | 63 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 793 | 81 | 1 874 |
| Status | Accuracy | Program |
|---|---|---|
| 34.0% | (fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 50.7% | (/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 35.7% | (/.f64 (*.f64 (*.f64 r 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 b)) | |
| 35.9% | (/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) | |
| 62.5% | (/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))) | |
| 62.4% | (/.f64 (*.f64 r (*.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)))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 50.4% | (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 51.4% | (/.f64 (*.f64 r (*.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 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 51.5% | (/.f64 (*.f64 r (*.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) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.0% | (/.f64 (*.f64 r (*.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 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)))) | |
| 51.4% | (/.f64 (*.f64 r (*.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 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)))) | |
| 51.6% | (/.f64 (*.f64 r (*.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 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.3% | (/.f64 (*.f64 r (*.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 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) | |
| 51.2% | (/.f64 (*.f64 r (*.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 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 51.6% | (/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) | |
| 98.9% | (/.f64 (*.f64 r (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)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 98.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (*.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)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 60.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 56.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 51.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (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 a) (cos.f64 b)))) | |
| 98.9% | (/.f64 (*.f64 r (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 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) | |
| ▶ | 36.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| 98.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (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) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 98.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64)) (pow.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64))) (fma.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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (fma.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 36.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 54.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 34.5% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) | |
| 52.0% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 54.4% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) | |
| 35.3% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 51.1% | (/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) | |
| 36.0% | (/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 33.6% | (/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.6% | (/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.4% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 34.6% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 54.4% | (/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 51.2% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| 51.0% | (/.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 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))) | |
| ▶ | 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 50.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 51.1% | (*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) | |
| 35.8% | (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) | |
| 52.1% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (fma.f64 b (sin.f64 a) (cos.f64 a))) | |
| 98.9% | (*.f64 (/.f64 (*.f64 r (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 a a))))) (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 50.9% | (*.f64 (/.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))) r) | |
| ▶ | 52.5% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) r) |
| 74.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 60.0% | (*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) | |
| 56.4% | (*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) | |
| ▶ | 99.6% | (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 51.1% | (*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (*.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)))) | |
| 98.9% | (*.f64 (/.f64 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 a a))))) (*.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 66.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) | |
| 37.9% | (*.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)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 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 a (-.f64 a b) (*.f64 b 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)) | |
| 51.2% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 53.0% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b))) | |
| 51.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) | |
| 74.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 45.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 51.1% | (*.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))) (cos.f64 (+.f64 b a)))) | |
| 39.5% | (*.f64 r (sin.f64 b)) | |
| ✓ | 36.0% | (*.f64 r b) |
| ▶ | 36.1% | (*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| 51.2% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 3.1% | (*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (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 4 086 to 2 312 computations (43.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
| ✓ | cost-diff | 6016 | (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 (+.f64 b a)) r) |
| ✓ | cost-diff | 320 | (*.f64 (sin.f64 b) #s(literal 1 binary64)) |
| ✓ | cost-diff | 320 | (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 b #s(literal -1/2 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 a) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 3 776× | accelerator-lowering-fma.f32 |
| 3 776× | accelerator-lowering-fma.f64 |
| 2 528× | *-lowering-*.f32 |
| 2 528× | *-lowering-*.f64 |
| 1 958× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 248 |
| 1 | 82 | 243 |
| 2 | 158 | 243 |
| 3 | 297 | 243 |
| 4 | 471 | 243 |
| 5 | 596 | 243 |
| 6 | 1036 | 243 |
| 7 | 1594 | 243 |
| 8 | 2044 | 243 |
| 9 | 2622 | 243 |
| 10 | 3215 | 243 |
| 11 | 3582 | 243 |
| 12 | 3751 | 243 |
| 13 | 3817 | 243 |
| 14 | 3829 | 243 |
| 15 | 3832 | 243 |
| 16 | 4112 | 243 |
| 17 | 4707 | 243 |
| 18 | 5073 | 243 |
| 19 | 5477 | 243 |
| 20 | 5535 | 243 |
| 21 | 5587 | 243 |
| 22 | 5587 | 243 |
| 23 | 5743 | 243 |
| 24 | 6363 | 243 |
| 25 | 7569 | 243 |
| 0 | 8511 | 235 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ r (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) (sin b)) |
(/ r (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) |
r |
(+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))) |
(neg (sin b)) |
(sin b) |
b |
(sin a) |
a |
(* (cos a) (cos b)) |
(cos a) |
(cos b) |
(* b (/ r (+ (* b (* b -1/2)) 1))) |
b |
(/ r (+ (* b (* b -1/2)) 1)) |
r |
(+ (* b (* b -1/2)) 1) |
(* b -1/2) |
-1/2 |
1 |
(/ (* r (sin b)) (+ (* b (* b -1/2)) 1)) |
(* r (sin b)) |
r |
(sin b) |
b |
(+ (* b (* b -1/2)) 1) |
(* b -1/2) |
-1/2 |
1 |
(/ 1 (/ (/ (cos (+ b a)) r) (* (sin b) 1))) |
1 |
(/ (/ (cos (+ b a)) r) (* (sin b) 1)) |
(/ (cos (+ b a)) r) |
(cos (+ b a)) |
(+ b a) |
b |
a |
r |
(* (sin b) 1) |
(sin b) |
(* (/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))) r) |
(/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))) |
(sin b) |
b |
(+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a)) |
(- (+ (* (* b -1/2) (cos a)) 0) (sin a)) |
(+ (* (* b -1/2) (cos a)) 0) |
(* b -1/2) |
-1/2 |
(cos a) |
a |
0 |
(sin a) |
r |
| Outputs |
|---|
(* (/ r (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) (sin b)) |
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (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))))) |
(/ r (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) |
(/.f64 r (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))))) |
r |
(+ (* (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 b) |
(sin.f64 b) |
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 (+ (* b (* b -1/2)) 1))) |
(fma.f64 r (/.f64 b (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64)) |
b |
(/ r (+ (* b (* b -1/2)) 1)) |
(/.f64 r (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) |
r |
(+ (* b (* b -1/2)) 1) |
(fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* b -1/2) |
(fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(/ (* r (sin b)) (+ (* b (* b -1/2)) 1)) |
(fma.f64 (sin.f64 b) (/.f64 r (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(* r (sin b)) |
(fma.f64 r (sin.f64 b) #s(literal 0 binary64)) |
r |
(sin b) |
(sin.f64 b) |
b |
(+ (* b (* b -1/2)) 1) |
(fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* b -1/2) |
(fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(/ 1 (/ (/ (cos (+ b a)) r) (* (sin b) 1))) |
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (cos.f64 (+.f64 b a))) |
1 |
#s(literal 1 binary64) |
(/ (/ (cos (+ b a)) r) (* (sin b) 1)) |
(/.f64 (cos.f64 (+.f64 b a)) (fma.f64 r (sin.f64 b) #s(literal 0 binary64))) |
(/ (cos (+ b a)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
b |
a |
r |
(* (sin b) 1) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(* (/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))) r) |
(fma.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (fma.f64 b (sin.f64 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)))) #s(literal 0 binary64)) |
(/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (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 b (sin.f64 a) #s(literal 0 binary64)))) |
(sin b) |
(sin.f64 b) |
b |
(+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (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 b (sin.f64 a) #s(literal 0 binary64))) |
(- (+ (* (* b -1/2) (cos a)) 0) (sin a)) |
(-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 (cos.f64 a) #s(literal 1/2 binary64) #s(literal 0 binary64)) (sin.f64 a))) |
(+ (* (* b -1/2) (cos a)) 0) |
(fma.f64 (cos.f64 a) (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* b -1/2) |
(fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(cos a) |
(cos.f64 a) |
a |
0 |
#s(literal 0 binary64) |
(sin a) |
(sin.f64 a) |
r |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
| ✓ | accuracy | 95.7% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) r) |
| ✓ | accuracy | 99.7% | (/.f64 (cos.f64 (+.f64 b a)) r) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
| ✓ | accuracy | 74.1% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 95.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal -1/2 binary64)) |
| ✓ | accuracy | 95.6% | (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 89.7% | (*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (*.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 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 151.0ms | 173× | 1 | valid |
| 22.0ms | 83× | 0 | valid |
Compiled 250 to 38 computations (84.8% saved)
ival-mult: 38.0ms (28.2% of total)ival-sin: 30.0ms (22.3% of total)ival-cos: 27.0ms (20% of total)ival-div: 16.0ms (11.9% of total)adjust: 10.0ms (7.4% of total)ival-add: 9.0ms (6.7% of total)ival-sub: 2.0ms (1.5% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ r (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))> |
#<alt (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))> |
#<alt (sin b)> |
#<alt (sin a)> |
#<alt (/ r (+ (* b (* b -1/2)) 1))> |
#<alt (+ (* b (* b -1/2)) 1)> |
#<alt (* b (/ r (+ (* b (* b -1/2)) 1)))> |
#<alt (* b -1/2)> |
#<alt (/ (* r (sin b)) (+ (* b (* b -1/2)) 1))> |
#<alt (* r (sin b))> |
#<alt (/ 1 (/ (/ (cos (+ b a)) r) (* (sin b) 1)))> |
#<alt (/ (/ (cos (+ b a)) r) (* (sin b) 1))> |
#<alt (* (sin b) 1)> |
#<alt (/ (cos (+ b a)) r)> |
#<alt (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))> |
#<alt (/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a)))> |
#<alt (- (+ (* (* b -1/2) (cos a)) 0) (sin a))> |
#<alt (* (/ r (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) (sin b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos (+ b a))> |
#<alt (* (/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))) r)> |
#<alt (+ (* (* b -1/2) (cos a)) 0)> |
| 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))> |
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#<alt (sin b)> |
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#<alt (cos b)> |
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#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
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#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 b)> |
#<alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))> |
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))> |
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#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | b | @ | -inf | (/ (* r (sin b)) (+ (* b (* b -1/2)) 1)) |
| 3.0ms | r | @ | -inf | (* b (/ r (+ (* b (* b -1/2)) 1))) |
| 2.0ms | r | @ | 0 | (/ r (+ (* b (* b -1/2)) 1)) |
| 1.0ms | a | @ | 0 | (/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))) |
| 1.0ms | b | @ | inf | (/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))) |
| 1× | batch-egg-rewrite |
| 6 912× | accelerator-lowering-fma.f32 |
| 6 912× | accelerator-lowering-fma.f64 |
| 5 306× | /-lowering-/.f32 |
| 5 306× | /-lowering-/.f64 |
| 4 880× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 197 |
| 1 | 213 | 169 |
| 2 | 1568 | 169 |
| 0 | 8413 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ r (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) |
(+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))) |
(sin b) |
(sin a) |
(/ r (+ (* b (* b -1/2)) 1)) |
(+ (* b (* b -1/2)) 1) |
(* b (/ r (+ (* b (* b -1/2)) 1))) |
(* b -1/2) |
(/ (* r (sin b)) (+ (* b (* b -1/2)) 1)) |
(* r (sin b)) |
(/ 1 (/ (/ (cos (+ b a)) r) (* (sin b) 1))) |
(/ (/ (cos (+ b a)) r) (* (sin b) 1)) |
(* (sin b) 1) |
(/ (cos (+ b a)) r) |
(+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a)) |
(/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))) |
(- (+ (* (* b -1/2) (cos a)) 0) (sin a)) |
(* (/ r (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))) (sin b)) |
(* (cos a) (cos b)) |
(cos (+ b a)) |
(* (/ (sin b) (+ (* b (- (+ (* (* b -1/2) (cos a)) 0) (sin a))) (cos a))) r) |
(+ (* (* b -1/2) (cos a)) 0) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) 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) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) r))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) |
(pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 0 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) |
(*.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)))) (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 (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 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.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 (/.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)))) #s(literal 1 binary64)) (/.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 #s(literal 1 binary64) r))) |
(*.f64 (/.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))))))) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r))) |
(+.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))))) |
(cos.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 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 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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 #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))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -1/2 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b) (*.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))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) (/.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 (-.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 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))))) |
(/.f64 #s(literal 1 binary64) (/.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)))) (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 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.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 (*.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 #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 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (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))) (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))))))) |
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(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 b #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 a) (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b #s(literal -1/2 binary64))) (/.f64 (cos.f64 a) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 b #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal 0 binary64))) (/.f64 (cos.f64 a) (/.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 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 (cos.f64 a) b)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (cos.f64 a) b)) (/.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 10 178× | accelerator-lowering-fma.f32 |
| 10 178× | accelerator-lowering-fma.f64 |
| 7 504× | *-lowering-*.f32 |
| 7 504× | *-lowering-*.f64 |
| 3 382× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 775 | 8010 |
| 1 | 2477 | 7733 |
| 0 | 8024 | 7386 |
| 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))) |
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) |
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) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
r |
(+ r (* 1/2 (* (pow b 2) r))) |
(+ r (* (pow b 2) (- (* 1/4 (* (pow b 2) r)) (* -1/2 r)))) |
(+ r (* (pow b 2) (- (* (pow b 2) (- (* 1/8 (* (pow b 2) r)) (* -1/4 r))) (* -1/2 r)))) |
(* -2 (/ r (pow b 2))) |
(/ (+ (* -4 (/ r (pow b 2))) (* -2 r)) (pow b 2)) |
(/ (- (+ (* -8 (/ r (pow b 4))) (* -2 r)) (* 4 (/ r (pow b 2)))) (pow b 2)) |
(/ (- (+ (* -16 (/ r (pow b 6))) (* -2 r)) (+ (* 4 (/ r (pow b 2))) (* 8 (/ r (pow b 4))))) (pow b 2)) |
(* -2 (/ r (pow b 2))) |
(/ (+ (* -4 (/ r (pow b 2))) (* -2 r)) (pow b 2)) |
(/ (- (+ (* -8 (/ r (pow b 4))) (* -2 r)) (* 4 (/ r (pow b 2)))) (pow b 2)) |
(/ (- (+ (* -16 (/ r (pow b 6))) (* -2 r)) (+ (* 4 (/ r (pow b 2))) (* 8 (/ r (pow b 4))))) (pow b 2)) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* -1/2 (pow b 2))) |
(* -1/2 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* -1/2 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2)) |
(* b r) |
(* b (+ r (* 1/2 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (- (* 1/4 (* (pow b 2) r)) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (* (pow b 2) (- (* 1/8 (* (pow b 2) r)) (* -1/4 r))) (* -1/2 r))))) |
(* -2 (/ r b)) |
(/ (+ (* -4 (/ r (pow b 2))) (* -2 r)) b) |
(/ (- (+ (* -8 (/ r (pow b 4))) (* -2 r)) (* 4 (/ r (pow b 2)))) b) |
(/ (- (+ (* -16 (/ r (pow b 6))) (* -2 r)) (+ (* 4 (/ r (pow b 2))) (* 8 (/ r (pow b 4))))) b) |
(* -2 (/ r b)) |
(* -1 (/ (+ (* 2 r) (* 4 (/ r (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 r) (+ (* 4 (/ r (pow b 2))) (* 8 (/ r (pow b 4))))) b)) |
(* -1 (/ (+ (* 2 r) (+ (* 4 (/ r (pow b 2))) (+ (* 8 (/ r (pow b 4))) (* 16 (/ r (pow b 6)))))) b)) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(* b r) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (* -1/2 (- (* 1/120 r) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))))) (* -1/2 (- (* -1/6 r) (* -1/2 r)))))) (* -1/2 r))))) |
(* -2 (/ (* r (sin b)) (pow b 2))) |
(/ (+ (* -4 (/ (* r (sin b)) (pow b 2))) (* -2 (* r (sin b)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* r (sin b)) (pow b 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow b 2)))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* r (sin b)) (pow b 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow b 2))) (* 8 (/ (* r (sin b)) (pow b 4))))) (pow b 2)) |
(* -2 (/ (* r (sin b)) (pow b 2))) |
(/ (+ (* -4 (/ (* r (sin b)) (pow b 2))) (* -2 (* r (sin b)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* r (sin b)) (pow b 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow b 2)))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* r (sin b)) (pow b 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow b 2))) (* 8 (/ (* r (sin b)) (pow b 4))))) (pow b 2)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* 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))) |
(/ (cos a) (* b r)) |
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) 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) (* r (sin b))) |
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (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))) |
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) r) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) 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) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) 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)) r) |
(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)) (* -1/2 (* b (cos a)))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2)))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (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)))))) (* 1/2 (/ 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)))) |
(/ (+ (* -2 (/ (sin b) (cos a))) (* 4 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -2 (/ (sin b) (cos a))) (* -1 (/ (+ (* 4 (/ (sin b) (cos a))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -2 (/ (sin b) (cos a))) (* -1 (/ (+ (* -8 (/ (* (sin a) (sin b)) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (sin b) (cos a))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2)))) (+ (* 4 (/ (sin b) (* (pow b 2) (cos a)))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2)) |
(* -2 (/ (sin b) (* (pow b 2) (cos a)))) |
(/ (+ (* -2 (/ (sin b) (cos a))) (* 4 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (+ (* -2 (/ (sin b) (cos a))) (* -1 (/ (- (+ (* 4 (/ (sin b) (* b (cos a)))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (* b (pow (cos a) 3))))) (* 4 (/ (* (sin a) (sin b)) (pow (cos a) 2)))) b))) (pow b 2)) |
(/ (+ (* -2 (/ (sin b) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (sin b) (cos a))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2))))) (+ (* 4 (/ (sin b) (cos a))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (pow (cos a) 3))))) b)) (* 4 (/ (* (sin a) (sin b)) (pow (cos a) 2)))) b))) (pow b 2)) |
(/ (sin b) (+ 1 (* -1/2 (pow b 2)))) |
(+ (/ (sin b) (+ 1 (* -1/2 (pow b 2)))) (/ (* a (* b (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* (sin b) (- (* 1/4 (pow b 2)) 1/2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (sin b) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* (sin b) (- (* 1/4 (pow b 2)) 1/2)) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* (sin b) (- (* 1/4 (pow b 2)) 1/2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (sin b) (+ 1 (* -1/2 (pow b 2))))) |
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(* -1 (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(* -1/2 (* b (cos a))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* -1/2 (* b (cos a))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b)))) |
(* -1/2 b) |
(+ (* -1 a) (* -1/2 b)) |
(+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1))) |
(+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1))) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin a)) |
(- (* -1/2 (* b (cos a))) (sin 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)) (+ (* -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)) |
(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))) |
(/ (* 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 (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)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* -8 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow b 2) (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2)) |
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* b (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* b (pow (cos a) 3))))) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) b)) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2)) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(+ (/ (* a (* b (* r (sin b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
| Outputs |
|---|
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b))) (/.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 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (neg.f64 (fma.f64 b (fma.f64 (sin.f64 a) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64))))))) (/.f64 r (cos.f64 a))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.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 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 (sin.f64 b) (/.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)))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.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 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #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 (sin.f64 a) (*.f64 b #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))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 #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 (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 #s(literal 1/6 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 (*.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 (*.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) |
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 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 (*.f64 a a) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #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) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ r (+ 1 (* -1/2 (pow b 2)))) |
(/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
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) (- (* 1/4 (* (pow b 2) r)) (* -1/2 r)))) |
(fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) r) |
(+ r (* (pow b 2) (- (* (pow b 2) (- (* 1/8 (* (pow b 2) r)) (* -1/4 r))) (* -1/2 r)))) |
(fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (*.f64 r (fma.f64 #s(literal 1/8 binary64) (*.f64 b b) #s(literal 1/4 binary64))))) r) |
(* -2 (/ r (pow b 2))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b b))) |
(/ (+ (* -4 (/ r (pow b 2))) (* -2 r)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -4 binary64) (*.f64 r #s(literal -2 binary64))) (*.f64 b b)) |
(/ (- (+ (* -8 (/ r (pow b 4))) (* -2 r)) (* 4 (/ r (pow b 2)))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 r (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -4 binary64) (*.f64 r #s(literal -2 binary64)))) (*.f64 b b)) |
(/ (- (+ (* -16 (/ r (pow b 6))) (* -2 r)) (+ (* 4 (/ r (pow b 2))) (* 8 (/ r (pow b 4))))) (pow b 2)) |
(/.f64 (+.f64 (fma.f64 #s(literal -16 binary64) (/.f64 r (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -4 binary64) (*.f64 r #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal -8 binary64) r) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) |
(* -2 (/ r (pow b 2))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b b))) |
(/ (+ (* -4 (/ r (pow b 2))) (* -2 r)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -4 binary64) (*.f64 r #s(literal -2 binary64))) (*.f64 b b)) |
(/ (- (+ (* -8 (/ r (pow b 4))) (* -2 r)) (* 4 (/ r (pow b 2)))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 r (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -4 binary64) (*.f64 r #s(literal -2 binary64)))) (*.f64 b b)) |
(/ (- (+ (* -16 (/ r (pow b 6))) (* -2 r)) (+ (* 4 (/ r (pow b 2))) (* 8 (/ r (pow b 4))))) (pow b 2)) |
(/.f64 (+.f64 (fma.f64 #s(literal -16 binary64) (/.f64 r (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -4 binary64) (*.f64 r #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal -8 binary64) r) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow b 2))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (cos a) (* b r)) |
(/.f64 (cos.f64 a) (*.f64 r b)) |
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(/.f64 (fma.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r) (/.f64 (cos.f64 a) r)) b) |
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(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
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(/ (cos (+ a b)) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
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(/ (cos (+ a b)) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
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(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
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(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
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(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
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(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
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(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(/ (cos a) r) |
(/.f64 (cos.f64 a) r) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
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(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
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(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r)) |
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1/6 binary64)) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) r)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r)) (/.f64 (cos.f64 a) r)) |
(/ (cos (+ a b)) r) |
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(/ (cos (+ a b)) r) |
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(/.f64 (cos.f64 (+.f64 a b)) r) |
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(/ (cos b) r) |
(/.f64 (cos.f64 b) r) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
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(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (cos.f64 b)) r) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 b) r))) (/.f64 (cos.f64 b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r)) |
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(/ (cos (+ a b)) r) |
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(/ (cos (+ a b)) r) |
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(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
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(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(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 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 a) b)))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(*.f64 (*.f64 b b) (-.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))) (/.f64 (sin.f64 a) b))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(*.f64 (*.f64 b b) (-.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))) (/.f64 (sin.f64 a) b))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 a) b)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(*.f64 (*.f64 b b) (-.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)) b))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(*.f64 (*.f64 b b) (-.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)) b))) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2)))) |
(fma.f64 a (-.f64 #s(literal 0 binary64) b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2)))))) |
(fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 #s(literal 1/6 binary64) b) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
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(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
Compiled 59 948 to 5 907 computations (90.1% saved)
96 alts after pruning (94 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 988 | 33 | 2 021 |
| Fresh | 14 | 61 | 75 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 006 | 96 | 2 102 |
| Status | Accuracy | Program |
|---|---|---|
| 34.0% | (fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 74.0% | (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) | |
| 50.7% | (/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 35.7% | (/.f64 (*.f64 (*.f64 r 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 b)) | |
| 35.9% | (/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) | |
| 62.5% | (/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))) | |
| 62.4% | (/.f64 (*.f64 r (*.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)))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 51.5% | (/.f64 (*.f64 r (*.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) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.0% | (/.f64 (*.f64 r (*.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 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)))) | |
| 51.4% | (/.f64 (*.f64 r (*.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 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)))) | |
| 51.6% | (/.f64 (*.f64 r (*.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 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.3% | (/.f64 (*.f64 r (*.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 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) | |
| 51.2% | (/.f64 (*.f64 r (*.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 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 51.6% | (/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) | |
| 35.6% | (/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 98.9% | (/.f64 (*.f64 r (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)))) | |
| 60.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 56.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 51.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (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 a) (cos.f64 b)))) | |
| 98.9% | (/.f64 (*.f64 r (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 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 36.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 54.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 34.5% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) | |
| 52.0% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 54.4% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) | |
| 35.3% | (/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 51.1% | (/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) | |
| 36.0% | (/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 33.6% | (/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.6% | (/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.4% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 34.6% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 54.4% | (/.f64 (*.f64 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 51.2% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| 3.4% | (/.f64 (*.f64 r #s(literal -2 binary64)) b) | |
| 51.0% | (/.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 35.7% | (/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 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))) | |
| 36.0% | (/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) | |
| 52.3% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 b (/.f64 (*.f64 (cos.f64 a) #s(literal -1/3 binary64)) r) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r)) (/.f64 (cos.f64 a) r)) b)) | |
| 53.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r) (/.f64 (cos.f64 a) r)) b)) | |
| 35.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) | |
| 52.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 61.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (*.f64 r (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r r)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 58.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) | |
| 50.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) | |
| 51.1% | (*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) | |
| 35.8% | (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) | |
| 34.5% | (*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) | |
| 50.9% | (*.f64 (/.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))) r) | |
| 52.5% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) r) | |
| 74.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (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)))))) (sin.f64 b)) | |
| 99.4% | (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| ✓ | 99.6% | (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 60.0% | (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) | |
| 56.4% | (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) | |
| 51.1% | (*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (*.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)))) | |
| 98.9% | (*.f64 (/.f64 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 a a))))) (*.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 66.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) | |
| 37.9% | (*.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)))) (/.f64 #s(literal 1 binary64) (sin.f64 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 a (-.f64 a b) (*.f64 b 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)) | |
| 35.0% | (*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) | |
| 34.5% | (*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) | |
| 36.1% | (*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) | |
| 51.2% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 73.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b)) | |
| 51.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) | |
| 74.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 45.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 51.1% | (*.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))) (cos.f64 (+.f64 b a)))) | |
| 39.5% | (*.f64 r (sin.f64 b)) | |
| ✓ | 36.0% | (*.f64 r b) |
| 35.6% | (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) | |
| 35.7% | (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) | |
| 15.7% | (*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) | |
| 3.1% | (*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) | |
| 51.2% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 36.0% | (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) | |
| 35.5% | (*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) | |
| 36.1% | (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) | |
| 3.1% | (*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (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 5 194 to 1 817 computations (65% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.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 (*.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r 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 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (/.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))) r) |
(/.f64 (*.f64 r (*.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)))) (cos.f64 (+.f64 a 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 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a 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 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.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) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (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)) r) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r) (/.f64 (cos.f64 a) r)) 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 a (-.f64 a b) (*.f64 b b)))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (*.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)))) |
(/.f64 (*.f64 r (*.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 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
(*.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 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.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)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.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) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 b (/.f64 (*.f64 (cos.f64 a) #s(literal -1/3 binary64)) r) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r)) (/.f64 (cos.f64 a) r)) b)) |
(/.f64 (*.f64 r (*.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 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (*.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 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (*.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 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 (*.f64 r (*.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 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)))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (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)) (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (*.f64 r (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 (*.f64 r (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.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 (*.f64 r (*.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 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (*.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)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.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 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (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 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (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)))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (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 (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (fma.f64 b (sin.f64 a) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (*.f64 r (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r r)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (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 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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 (*.f64 r (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 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (*.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)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (*.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)))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (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 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.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)))) |
(*.f64 (/.f64 (*.f64 r (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 a a))))) (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (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) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 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 a a))))) (*.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.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 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64)) (pow.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64))) (fma.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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (fma.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 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 a a))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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 b b))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
4 calls:
| 96.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 83.0ms | b |
| 69.0ms | a |
| 57.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | r |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.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 (*.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r 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 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (/.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))) r) |
(/.f64 (*.f64 r (*.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)))) (cos.f64 (+.f64 a 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 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a 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 r b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.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) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (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)) r) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r) (/.f64 (cos.f64 a) r)) 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 a (-.f64 a b) (*.f64 b b)))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (*.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)))) |
(/.f64 (*.f64 r (*.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 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
(*.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 (sin.f64 b) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.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)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.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) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 b (/.f64 (*.f64 (cos.f64 a) #s(literal -1/3 binary64)) r) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r)) (/.f64 (cos.f64 a) r)) b)) |
(/.f64 (*.f64 r (*.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 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (*.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 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (*.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 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 (*.f64 r (*.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 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)))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (sin.f64 a)) (cos.f64 a))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (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)) (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 0 binary64))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (*.f64 r (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 (*.f64 r (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.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 (*.f64 r (*.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 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (*.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)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
4 calls:
| 61.0ms | r |
| 49.0ms | a |
| 41.0ms | b |
| 36.0ms | (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
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(/.f64 (*.f64 r (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (*.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 (*.f64 r (*.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 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (*.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)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
4 calls:
| 66.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 66.0ms | r |
| 54.0ms | a |
| 32.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 1 | r |
| 74.1% | 1 | a |
| 74.1% | 1 | b |
| 74.1% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.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 (*.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r 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 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (/.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))) r) |
(/.f64 (*.f64 r (*.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)))) (cos.f64 (+.f64 a 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 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.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))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
4 calls:
| 25.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 18.0ms | a |
| 15.0ms | r |
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.4% | 2 | r |
| 74.1% | 3 | a |
| 74.5% | 3 | b |
| 63.7% | 3 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.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 (*.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r 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 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (/.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))) r) |
(/.f64 (*.f64 r (*.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)))) (cos.f64 (+.f64 a 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 a)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.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))) r) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.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 (*.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r 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 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (/.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))) r) |
(/.f64 (*.f64 r (*.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)))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
4 calls:
| 24.0ms | a |
| 22.0ms | r |
| 16.0ms | b |
| 14.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 1 | r |
| 54.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 54.6% | 1 | a |
| 54.6% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.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 (*.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r 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 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (/.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))) r) |
(/.f64 (*.f64 r (*.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)))) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(*.f64 (/.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))) r) |
(*.f64 r (sin.f64 b)) |
4 calls:
| 19.0ms | a |
| 16.0ms | b |
| 15.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 14.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | r |
| 51.3% | 1 | a |
| 55.4% | 3 | b |
| 51.3% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.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 (*.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r 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 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 r (sin.f64 b)) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) |
(*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.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 (*.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))) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r 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 b)) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(*.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))) (cos.f64 (+.f64 b a)))) |
(*.f64 r (sin.f64 b)) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 r 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))) (cos.f64 b)) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (sin.f64 b)) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -2 binary64) (/.f64 r (*.f64 b (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 r (sin.f64 b)) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
4 calls:
| 10.0ms | r |
| 9.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 8.0ms | a |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.5% | 1 | r |
| 39.5% | 1 | a |
| 39.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 39.5% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r #s(literal 1 binary64))) |
(/.f64 b (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r)) |
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) r)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 b (/.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (fma.f64 a (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 r (*.f64 b b))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 r b) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
| Outputs |
|---|
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
4 calls:
| 8.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 7.0ms | r |
| 7.0ms | b |
| 7.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.1% | 1 | a |
| 36.1% | 1 | r |
| 36.1% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 36.1% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
4 calls:
| 6.0ms | b |
| 3.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 3.0ms | r |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.1% | 1 | a |
| 36.1% | 1 | r |
| 36.1% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 36.1% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
Total -22.0b remaining (-53.9%)
Threshold costs -22b (-53.9%)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 (*.f64 r #s(literal -2 binary64)) b) |
(*.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r)) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r)) |
(*.f64 b (/.f64 r (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(*.f64 r b) |
4 calls:
| 3.0ms | r |
| 2.0ms | b |
| 2.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | a |
| 36.0% | 1 | r |
| 36.0% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 36.0% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.032367553684979504 | 0.6976311701393696 |
| 18.0ms | -0.33446023662740487 | -0.0006796533280362622 |
| 17.0ms | 120× | 1 | valid |
| 8.0ms | 120× | 0 | valid |
Compiled 615 to 404 computations (34.3% saved)
ival-cos: 6.0ms (35.4% of total)adjust: 3.0ms (17.7% of total)ival-sin: 3.0ms (17.7% of total)ival-add: 2.0ms (11.8% of total)ival-div: 2.0ms (11.8% of total)ival-mult: 2.0ms (11.8% 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 |
|---|---|---|
| 15.0ms | 0.032367553684979504 | 0.6976311701393696 |
| 45.0ms | -0.33446023662740487 | -0.0006796533280362622 |
| 17.0ms | 136× | 1 | valid |
| 6.0ms | 104× | 0 | valid |
Compiled 615 to 404 computations (34.3% saved)
ival-cos: 6.0ms (36.7% of total)ival-sin: 3.0ms (18.4% of total)ival-add: 2.0ms (12.2% of total)ival-div: 2.0ms (12.2% of total)adjust: 2.0ms (12.2% of total)ival-mult: 2.0ms (12.2% 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 |
|---|---|---|
| 21.0ms | 0.032367553684979504 | 0.6976311701393696 |
| 21.0ms | -4373.608722324114 | -0.33446023662740487 |
| 25.0ms | 141× | 1 | valid |
| 9.0ms | 99× | 0 | valid |
Compiled 570 to 374 computations (34.4% saved)
ival-add: 7.0ms (26.8% of total)ival-cos: 7.0ms (26.8% of total)ival-sin: 6.0ms (23% of total)ival-div: 2.0ms (7.7% of total)adjust: 2.0ms (7.7% of total)ival-mult: 2.0ms (7.7% 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 |
|---|---|---|
| 19.0ms | 0.032367553684979504 | 0.6976311701393696 |
| 21.0ms | -4373.608722324114 | -0.33446023662740487 |
| 16.0ms | 115× | 1 | valid |
| 11.0ms | 125× | 0 | valid |
Compiled 570 to 359 computations (37% saved)
ival-cos: 7.0ms (36.4% of total)ival-sin: 6.0ms (31.2% of total)ival-add: 2.0ms (10.4% of total)ival-div: 2.0ms (10.4% of total)adjust: 2.0ms (10.4% of total)ival-mult: 1.0ms (5.2% 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 |
|---|---|---|
| 36.0ms | 0.032367553684979504 | 0.6976311701393696 |
| 36.0ms | -4373.608722324114 | -0.33446023662740487 |
| 53.0ms | 122× | 1 | valid |
| 10.0ms | 118× | 0 | valid |
Compiled 495 to 344 computations (30.5% saved)
ival-div: 38.0ms (67.6% of total)ival-cos: 7.0ms (12.5% of total)ival-sin: 6.0ms (10.7% of total)ival-add: 2.0ms (3.6% of total)adjust: 2.0ms (3.6% of total)ival-mult: 2.0ms (3.6% 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 |
|---|---|---|
| 46.0ms | 0.032367553684979504 | 0.6976311701393696 |
| 21.0ms | -4373.608722324114 | -0.33446023662740487 |
| 47.0ms | 113× | 1 | valid |
| 11.0ms | 127× | 0 | valid |
Compiled 420 to 299 computations (28.8% saved)
ival-cos: 38.0ms (74.9% of total)ival-sin: 6.0ms (11.8% of total)ival-add: 2.0ms (3.9% of total)ival-div: 2.0ms (3.9% of total)adjust: 2.0ms (3.9% of total)ival-mult: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -4373.608722324114 | -0.33446023662740487 |
| 9.0ms | 58× | 1 | valid |
| 7.0ms | 70× | 0 | valid |
Compiled 159 to 118 computations (25.8% saved)
ival-sin: 4.0ms (33.7% of total)ival-cos: 4.0ms (33.7% of total)ival-add: 1.0ms (8.4% of total)ival-div: 1.0ms (8.4% of total)adjust: 1.0ms (8.4% of total)ival-mult: 1.0ms (8.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 56× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 10× | if-if-or-not_binary32 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 316 |
| 1 | 143 | 316 |
| 2 | 153 | 316 |
| 3 | 158 | 316 |
| 4 | 161 | 316 |
| 5 | 162 | 316 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.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 (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -5476377146882523/72057594037927936 binary64)) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (if (<=.f64 b #s(literal 1261007895663739/18014398509481984 binary64)) (*.f64 (/.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))) r) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) |
(if (<=.f64 b #s(literal -2116691824864133/9007199254740992 binary64)) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (if (<=.f64 b #s(literal 3422735716801577/36028797018963968 binary64)) (*.f64 (/.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))) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(if (<=.f64 b #s(literal -5854679515581645/1125899906842624 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 binary64)) (*.f64 (/.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))) r) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -4728779608739021/1125899906842624 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 binary64)) (*.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))) (cos.f64 (+.f64 b a)))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -7/2 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -9/2 binary64)) (*.f64 r (sin.f64 b)) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r b) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (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 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(if (<=.f64 b #s(literal -5476377146882523/72057594037927936 binary64)) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (if (<=.f64 b #s(literal 1261007895663739/18014398509481984 binary64)) (*.f64 (/.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))) r) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) |
(if (<=.f64 b #s(literal -5476377146882523/72057594037927936 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 1261007895663739/18014398509481984 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 (*.f64 r (sin.f64 b)) (cos.f64 b)))) |
(if (<=.f64 b #s(literal -2116691824864133/9007199254740992 binary64)) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (if (<=.f64 b #s(literal 3422735716801577/36028797018963968 binary64)) (*.f64 (/.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))) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(if (<=.f64 b #s(literal -2116691824864133/9007199254740992 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 3422735716801577/36028797018963968 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 (sin.f64 b) (/.f64 r (cos.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(if (<=.f64 b #s(literal -5854679515581645/1125899906842624 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 binary64)) (*.f64 (/.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))) r) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -5854679515581645/1125899906842624 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 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 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.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)))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -4728779608739021/1125899906842624 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 binary64)) (*.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))) (cos.f64 (+.f64 b a)))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -7/2 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1553741871442821/2251799813685248 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -9/2 binary64)) (*.f64 r (sin.f64 b)) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)) |
(*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 b (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r b) |
| 10 934× | accelerator-lowering-fma.f32 |
| 10 934× | accelerator-lowering-fma.f64 |
| 9 426× | accelerator-lowering-fma.f32 |
| 9 426× | accelerator-lowering-fma.f64 |
| 9 416× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 0 | 47 | 261 |
| 1 | 300 | 205 |
| 2 | 2605 | 205 |
| 0 | 8097 | 188 |
| 0 | 31 | 163 |
| 1 | 197 | 131 |
| 2 | 1566 | 131 |
| 0 | 8502 | 129 |
| 0 | 36 | 197 |
| 1 | 213 | 169 |
| 2 | 1568 | 169 |
| 0 | 8413 | 162 |
| 0 | 648 | 6467 |
| 1 | 2113 | 6221 |
| 2 | 7325 | 6191 |
| 0 | 8124 | 5958 |
| 0 | 8 | 19 |
| 1 | 39 | 19 |
| 2 | 229 | 19 |
| 3 | 2047 | 19 |
| 0 | 8434 | 19 |
| 0 | 679 | 8704 |
| 1 | 2227 | 8197 |
| 2 | 7670 | 8176 |
| 0 | 8188 | 7726 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 105 to 599 computations (45.8% saved)
(negabs r)
Compiled 940 to 364 computations (61.3% saved)
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