
Time bar (total: 13.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
ival-sin: 45.0ms (33.8% of total)ival-mult: 26.0ms (19.5% of total)ival-div: 24.0ms (18% of total)ival-cos: 20.0ms (15% of total)ival-add: 16.0ms (12% of total)const: 2.0ms (1.5% of total)backward-pass: 1.0ms (0.8% of total)| 1.7s | 5968× | 1 | valid |
| 171.0ms | 2288× | 0 | valid |
ival-sin: 618.0ms (46.2% of total)ival-cos: 289.0ms (21.6% of total)ival-mult: 140.0ms (10.5% of total)ival-div: 102.0ms (7.6% of total)backward-pass: 96.0ms (7.2% of total)ival-add: 84.0ms (6.3% of total)const: 8.0ms (0.6% of total)| 2× | egg-herbie |
| 2354× | fnmadd-define |
| 1960× | fma-define |
| 1434× | sum3-define |
| 1128× | fnmsub-define |
| 1096× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 95 |
| 1 | 91 | 93 |
| 2 | 196 | 93 |
| 3 | 483 | 93 |
| 4 | 1612 | 93 |
| 5 | 3557 | 93 |
| 6 | 5887 | 93 |
| 7 | 6893 | 93 |
| 8 | 7879 | 93 |
| 0 | 8 | 9 |
| 1 | 12 | 9 |
| 2 | 15 | 9 |
| 3 | 16 | 9 |
| 0 | 16 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* (neg r) (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ (neg a) b))) |
(/ (* r (sin (neg b))) (cos (+ a (neg b)))) |
(neg (/ (* (neg r) (sin b)) (cos (+ a b)))) |
(neg (/ (* r (sin b)) (cos (+ (neg a) b)))) |
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b))))) |
(/ (* a (sin b)) (cos (+ r b))) |
(/ (* b (sin r)) (cos (+ a r))) |
(/ (* r (sin a)) (cos (+ b a))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ b a))) |
(/ (* (neg r) (sin b)) (cos (+ a b))) |
(/ (fnmsub r (sin b) 0) (cos (+ b a))) |
(/ (* r (sin b)) (cos (+ (neg a) b))) |
(/ (* r (sin b)) (cos (- b a))) |
(/ (* r (sin (neg b))) (cos (+ a (neg b)))) |
(/ (fnmsub r (sin b) 0) (cos (- b a))) |
(neg (/ (* (neg r) (sin b)) (cos (+ a b)))) |
(/ (* r (sin b)) (cos (+ b a))) |
(neg (/ (* r (sin b)) (cos (+ (neg a) b)))) |
(/ (fnmsub r (sin b) 0) (cos (- b a))) |
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b))))) |
(/ (* r (sin b)) (cos (- b a))) |
(/ (* a (sin b)) (cos (+ r b))) |
(/ (* (sin b) a) (cos (+ r b))) |
(/ (* b (sin r)) (cos (+ a r))) |
(/ (* b (sin r)) (cos (+ r a))) |
(/ (* r (sin a)) (cos (+ b a))) |
(* r (/ (sin a) (cos (+ b a)))) |
(negabs r)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 74 | 115 | (6.436472101567007e-232 -1.3642240147567132e+294 6.822667973136745e-180) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 r (sin.f64 b)) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 99.0ms | 362× | 1 | valid |
| 20.0ms | 150× | 0 | valid |
Compiled 70 to 26 computations (62.9% saved)
ival-sin: 24.0ms (34.7% of total)ival-cos: 21.0ms (30.4% of total)ival-mult: 8.0ms (11.6% of total)backward-pass: 6.0ms (8.7% of total)ival-add: 5.0ms (7.2% of total)ival-div: 5.0ms (7.2% of total)const: 1.0ms (1.4% of total)Compiled 12 to 8 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
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 b a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
| 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 (+ b a))) |
(* r (sin b)) |
r |
(sin b) |
b |
(cos (+ b a)) |
(+ b a) |
a |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
r |
(sin b) |
(sin.f64 b) |
b |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
a |
Found 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 b a))) |
| ✓ | accuracy | 75.8% | (cos.f64 (+.f64 b a)) |
| 77.0ms | 181× | 1 | valid |
| 7.0ms | 75× | 0 | valid |
Compiled 29 to 9 computations (69% saved)
ival-sin: 11.0ms (32.2% of total)ival-cos: 11.0ms (32.2% of total)ival-mult: 4.0ms (11.7% of total)backward-pass: 3.0ms (8.8% of total)ival-add: 2.0ms (5.9% of total)ival-div: 2.0ms (5.9% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* r (sin b)) (cos (+ b a)))> |
#<alt (* r (sin b))> |
#<alt (sin b)> |
#<alt (cos (+ b a))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (* 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 a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (+ b a))) |
| 1.0ms | b | @ | inf | (/ (* r (sin b)) (cos (+ b a))) |
| 1.0ms | b | @ | 0 | (/ (* r (sin b)) (cos (+ b a))) |
| 1.0ms | a | @ | 0 | (/ (* r (sin b)) (cos (+ b a))) |
| 1.0ms | r | @ | inf | (/ (* r (sin b)) (cos (+ b a))) |
| 1× | batch-egg-rewrite |
| 6648× | *-lowering-*.f32 |
| 6648× | *-lowering-*.f64 |
| 3292× | /-lowering-/.f32 |
| 3292× | /-lowering-/.f64 |
| 2624× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 39 | 19 |
| 2 | 253 | 19 |
| 3 | 2314 | 19 |
| 0 | 11205 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ b a))) |
(* r (sin b)) |
(sin b) |
(cos (+ b a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.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) (/.f64 (-.f64 #s(literal 0 binary64) (*.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)))) |
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(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) |
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(*.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)))) |
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) |
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(*.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) |
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(*.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))) |
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(*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
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(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (sin.f64 b)) |
(sin.f64 b) |
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(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
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(+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (*.f64 a (/.f64 a (-.f64 b a))))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (*.f64 a (/.f64 a (-.f64 b a)))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))) |
(cos.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))) |
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 b a))) (-.f64 b a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.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 b a)))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (neg.f64 (*.f64 a (/.f64 a (-.f64 b a))))))) |
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(fma.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (*.f64 a (/.f64 a (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (*.f64 a (/.f64 a (-.f64 b a)))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
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(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (-.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64))) (-.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (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 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (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 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (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 b a)))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (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 b a)))))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) |
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (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 b a)))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (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 b a)))))) #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 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #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 b a)) (*.f64 (cos.f64 (-.f64 b a)) (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 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
| 1× | egg-herbie |
| 4042× | *-lowering-*.f32 |
| 4042× | *-lowering-*.f64 |
| 1622× | sum5-define |
| 1594× | +-lowering-+.f64 |
| 1594× | +-lowering-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 937 |
| 1 | 557 | 880 |
| 2 | 1899 | 847 |
| 3 | 7323 | 847 |
| 0 | 8053 | 847 |
| 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 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (*.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 (sin.f64 a) (cos.f64 a))))))))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (*.f64 r a) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 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 (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.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))))))))) |
(/ (* 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 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (*.f64 r (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64))))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
Compiled 4848 to 628 computations (87% saved)
35 alts after pruning (35 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 35 | 256 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 222 | 35 | 257 |
| Status | Accuracy | Program |
|---|---|---|
| 42.5% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 34.0% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) | |
| 75.1% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) | |
| 48.4% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) | |
| 48.3% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) |
| 98.7% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 b) (cos.f64 a)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))))) | |
| 77.9% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))) | |
| 75.6% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) | |
| 75.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 60.8% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 50.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| ▶ | 60.1% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) |
| 49.6% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) | |
| 49.8% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) | |
| 75.6% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) | |
| 62.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 53.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 49.0% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| ▶ | 48.8% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| ▶ | 75.6% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
| 75.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 59.4% | (+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 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 (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.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))))))))) | |
| 75.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) | |
| 75.5% | (*.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))) | |
| 75.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) | |
| ▶ | 75.6% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
| 75.7% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 75.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 75.6% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 75.6% | (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 48.7% | (*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) | |
| 34.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 1576 to 950 computations (39.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 6272 | (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))) |
| ✓ | cost-diff | 6272 | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 6592 | (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) |
| ✓ | cost-diff | 6592 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r b) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 6400 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
| ✓ | cost-diff | 6400 | (/.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))))) |
| 2214× | fnmadd-define |
| 1946× | *-lowering-*.f32 |
| 1946× | *-lowering-*.f64 |
| 1420× | fma-define |
| 1400× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 198 |
| 1 | 67 | 196 |
| 2 | 125 | 194 |
| 3 | 273 | 194 |
| 4 | 545 | 194 |
| 5 | 1104 | 194 |
| 6 | 2122 | 194 |
| 7 | 4819 | 194 |
| 0 | 8091 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))) |
(* r (sin b)) |
r |
(sin b) |
b |
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))) |
(cos b) |
(cos a) |
a |
(* (sin b) (- 0 (sin a))) |
(- 0 (sin a)) |
0 |
(sin a) |
(/ (* r b) (cos a)) |
(* r b) |
r |
b |
(cos a) |
a |
(/ r (/ (cos (+ b a)) (sin b))) |
r |
(/ (cos (+ b a)) (sin b)) |
(cos (+ b a)) |
(+ b a) |
b |
a |
(sin b) |
(* (/ (sin b) (cos (+ b a))) (pow (/ 1 r) -1)) |
(/ (sin b) (cos (+ b a))) |
(sin b) |
b |
(cos (+ b a)) |
(+ b a) |
a |
(pow (/ 1 r) -1) |
(/ 1 r) |
1 |
r |
-1 |
(/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))) |
(* r (sin b)) |
r |
(sin b) |
b |
(+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))) |
(cos b) |
(* a (- (* a (* -1/2 (cos b))) (sin b))) |
a |
(- (* a (* -1/2 (cos b))) (sin b)) |
(* a (* -1/2 (cos b))) |
(* -1/2 (cos b)) |
-1/2 |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))) |
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
r |
(sin b) |
(sin.f64 b) |
b |
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos b) |
(cos.f64 b) |
(cos a) |
(cos.f64 a) |
a |
(* (sin b) (- 0 (sin a))) |
(*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(- 0 (sin a)) |
(-.f64 #s(literal 0 binary64) (sin.f64 a)) |
0 |
#s(literal 0 binary64) |
(sin a) |
(sin.f64 a) |
(/ (* r b) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* r b) |
(*.f64 r b) |
r |
b |
(cos a) |
(cos.f64 a) |
a |
(/ r (/ (cos (+ b a)) (sin b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
r |
(/ (cos (+ b a)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
b |
a |
(sin b) |
(sin.f64 b) |
(* (/ (sin b) (cos (+ b a))) (pow (/ 1 r) -1)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ b a))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin b) |
(sin.f64 b) |
b |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
a |
(pow (/ 1 r) -1) |
r |
(/ 1 r) |
(/.f64 #s(literal 1 binary64) r) |
1 |
#s(literal 1 binary64) |
r |
-1 |
#s(literal -1 binary64) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))) |
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 (sin.f64 b) a)) r)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
r |
(sin b) |
(sin.f64 b) |
b |
(+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))) |
(-.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 (sin.f64 b) a)) |
(cos b) |
(cos.f64 b) |
(* a (- (* a (* -1/2 (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b))) |
a |
(- (* a (* -1/2 (cos b))) (sin b)) |
(-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) |
(* a (* -1/2 (cos b))) |
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) |
(* -1/2 (cos b)) |
(*.f64 (cos.f64 b) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 94.7% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 75.8% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.6% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
| ✓ | accuracy | 75.8% | (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 | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
| ✓ | accuracy | 99.6% | (/.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))))) |
| 198.0ms | 181× | 1 | valid |
| 69.0ms | 75× | 0 | valid |
Compiled 219 to 33 computations (84.9% saved)
ival-cos: 47.0ms (23.2% of total)ival-pow: 41.0ms (20.2% of total)ival-mult: 30.0ms (14.8% of total)ival-sin: 29.0ms (14.3% of total)ival-div: 23.0ms (11.3% of total)backward-pass: 13.0ms (6.4% of total)compiled-spec: 7.0ms (3.4% of total)ival-add: 6.0ms (3% of total)ival-sub: 5.0ms (2.5% of total)const: 1.0ms (0.5% of total)| Inputs |
|---|
#<alt (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))> |
#<alt (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))> |
#<alt (* r (sin b))> |
#<alt (sin b)> |
#<alt (/ (* r b) (cos a))> |
#<alt (* r b)> |
#<alt (cos a)> |
#<alt (/ r (/ (cos (+ b a)) (sin b)))> |
#<alt (/ (cos (+ b a)) (sin b))> |
#<alt (cos (+ b a))> |
#<alt (+ b a)> |
#<alt (* (/ (sin b) (cos (+ b a))) (pow (/ 1 r) -1))> |
#<alt (pow (/ 1 r) -1)> |
#<alt (/ (sin b) (cos (+ b a)))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))))> |
#<alt (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))> |
#<alt (* (sin b) (- 0 (sin a)))> |
#<alt (* a (* -1/2 (cos b)))> |
#<alt (* a (- (* a (* -1/2 (cos b))) (sin b)))> |
| 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 (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (* 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 (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b r)> |
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))> |
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))> |
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))> |
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (/ (* 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 (/ (cos a) b)> |
#<alt (/ (+ (cos a) (* -1 (* b (sin a)))) b)> |
#<alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)> |
#<alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (- a (* -1 b))) (sin b))> |
#<alt (/ (cos (- a (* -1 b))) (sin b))> |
#<alt (/ (cos (- a (* -1 b))) (sin b))> |
#<alt (/ (cos (- a (* -1 b))) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (+ (* -1 a) (/ (cos b) (sin b)))> |
#<alt (+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))> |
#<alt (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (- b (* -1 a))) (sin b))> |
#<alt (/ (cos (- b (* -1 a))) (sin b))> |
#<alt (/ (cos (- b (* -1 a))) (sin b))> |
#<alt (/ (cos (- b (* -1 a))) (sin b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt a> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt b> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt b> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt a> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* a (* b r)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* r (- (* 1/4 (pow a 2)) 1/2))) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (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 (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2))> |
#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))> |
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))> |
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))> |
#<alt (* -1/2 (* (pow a 2) (cos b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))> |
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))> |
#<alt (* -1/2 (* (pow a 2) (cos b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))> |
#<alt (* -1 (* b (sin a)))> |
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))> |
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* a (sin b)))> |
#<alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))> |
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1 (* (sin a) (sin b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 a)> |
#<alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))> |
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))> |
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1 (* a (sin b)))> |
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))> |
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))> |
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))> |
#<alt (* -1/2 (* (pow a 2) (cos b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* -1/2 (* (pow a 2) (cos b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (+ (* -1 (* a b)) (* -1/2 (pow a 2)))> |
#<alt (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b)))))> |
#<alt (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2)))))))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | -inf | (/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))) |
| 5.0ms | b | @ | -inf | (/ (cos (+ b a)) (sin b)) |
| 4.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))) |
| 4.0ms | b | @ | -inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))) |
| 3.0ms | b | @ | 0 | (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))) |
| 1× | batch-egg-rewrite |
| 3722× | /-lowering-/.f32 |
| 3722× | /-lowering-/.f64 |
| 3606× | *-lowering-*.f32 |
| 3606× | *-lowering-*.f64 |
| 1912× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 161 |
| 1 | 181 | 121 |
| 2 | 1445 | 121 |
| 0 | 8528 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))) |
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))) |
(* r (sin b)) |
(sin b) |
(/ (* r b) (cos a)) |
(* r b) |
(cos a) |
(/ r (/ (cos (+ b a)) (sin b))) |
(/ (cos (+ b a)) (sin b)) |
(cos (+ b a)) |
(+ b a) |
(* (/ (sin b) (cos (+ b a))) (pow (/ 1 r) -1)) |
(pow (/ 1 r) -1) |
(/ (sin b) (cos (+ b a))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))) |
(+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))) |
(* (sin b) (- 0 (sin a))) |
(* a (* -1/2 (cos b))) |
(* a (- (* a (* -1/2 (cos b))) (sin b))) |
| 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 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(/.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 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r))) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.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)))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 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 (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.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 (-.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 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 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))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.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 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (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 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (/.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))) (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 b a))) (/.f64 (sqrt.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sqrt.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sqrt.f64 r) #s(literal 1 binary64)) (/.f64 (sqrt.f64 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (/.f64 (sqrt.f64 r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (sqrt.f64 r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (/.f64 (sqrt.f64 r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (/.f64 (sqrt.f64 r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 r) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sqrt.f64 r) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
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r |
(exp.f64 (log.f64 r)) |
(exp.f64 (*.f64 (log.f64 r) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 r)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) r))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 r #s(literal -1 binary64))) |
(/.f64 r #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) |
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(pow.f64 r #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) r)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64)) |
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(*.f64 r #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) r) |
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(*.f64 (sqrt.f64 r) (sqrt.f64 r)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
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(/.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (sin.f64 b) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 a (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) a) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (sin.f64 b) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) a) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (sin.f64 b) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 a (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) a)) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (sin.f64 b) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) a)) (neg.f64 (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 a (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))))) (-.f64 (*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (*.f64 (*.f64 a (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) a) (*.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) a)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) a)) (*.f64 (*.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) a))))) |
(*.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b))) |
(*.f64 (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) a) |
(*.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (sin.f64 b) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))))))) |
(*.f64 (*.f64 a (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (sin.f64 b) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))))))) |
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) a) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))))) |
| 1× | egg-herbie |
| 5462× | *-lowering-*.f32 |
| 5462× | *-lowering-*.f64 |
| 2186× | +-lowering-+.f64 |
| 2186× | +-lowering-+.f32 |
| 1786× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 561 | 6002 |
| 1 | 1957 | 5598 |
| 2 | 7078 | 5598 |
| 0 | 8729 | 5598 |
| 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)))) |
(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))) |
(* 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) |
(/ (* 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)) |
(* 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) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (+ 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)))) |
(/ (cos a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos b) (sin b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
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))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* a (* b r)) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* r (- (* 1/4 (pow a 2)) 1/2))) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (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))) |
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2)) |
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2)) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2)))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin 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)) (* -1/2 (* a (cos b)))))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) |
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 a) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* -1/2 (pow a 2)) |
(+ (* -1 (* a b)) (* -1/2 (pow a 2))) |
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b))))) |
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))))))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
| 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)))) |
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(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
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(* b r) |
(*.f64 r b) |
(* b r) |
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(* b r) |
(*.f64 r b) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
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(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(/ (* r (sin b)) (cos (+ 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 (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
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(/ (* 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))) |
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(+ (* 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))) |
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(/ (* 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))) |
(/ (cos a) b) |
(/.f64 (cos.f64 a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 (cos.f64 a) #s(literal 1/24 binary64)) (*.f64 (cos.f64 a) #s(literal 1/18 binary64))) (*.f64 #s(literal -1/120 binary64) (cos.f64 a)))) (*.f64 (cos.f64 a) #s(literal -1/3 binary64)))) (sin.f64 a)))) b) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) |
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (/.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (*.f64 a #s(literal 1/6 binary64))))))) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b 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 (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a 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 (- 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))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
(* b (+ 1 (/ a b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
(* b (+ 1 (/ a b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))) |
b |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
a |
(* a (+ 1 (/ b a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
(* a (+ 1 (/ b a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
(* a (+ 1 (/ b a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.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 (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
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r |
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(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (-.f64 (sin.f64 b) (/.f64 (cos.f64 b) a)) a))) |
(* -1 (* b (sin a))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(*.f64 b (-.f64 (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (sin.f64 a))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 b (+.f64 (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 b b) #s(literal 1/5040 binary64)))))))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* a (sin b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 a (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 a (-.f64 (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (+.f64 (*.f64 (*.f64 a a) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (sin.f64 b))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 a (+.f64 (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 (sin.f64 b) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 a a) #s(literal 1/5040 binary64))))))))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b a)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) |
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b (*.f64 b a)) #s(literal -1/48 binary64)) (*.f64 a #s(literal 1/4 binary64))))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) |
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/1440 binary64)))))))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1 (* a (sin b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* -1/2 (* (pow a 2) (cos b))) |
(*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))) |
(* -1/2 (* (pow a 2) (cos b))) |
(*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))) |
(* -1/2 (pow a 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(+ (* -1 (* a b)) (* -1/2 (pow a 2))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)) |
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (-.f64 (*.f64 b (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) a))) |
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 b (*.f64 a #s(literal 1/6 binary64))))) a))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
Compiled 37743 to 2657 computations (93% saved)
71 alts after pruning (71 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1519 | 57 | 1576 |
| Fresh | 16 | 14 | 30 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1540 | 71 | 1611 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 75.5% | (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) | |
| 75.5% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 98.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 48.4% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 98.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (sin.f64 b)) (sin.f64 a)))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 98.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 60.8% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 50.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 30.1% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b))))) | |
| 49.6% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) | |
| 34.3% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) | |
| 35.8% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) | |
| 75.6% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) | |
| 33.2% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a)))) | |
| 62.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 53.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 33.3% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) | |
| 33.4% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) | |
| 33.4% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) | |
| 49.0% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| 99.4% | (/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) | |
| 98.8% | (/.f64 r (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))) | |
| 66.3% | (/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) | |
| 99.4% | (/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) | |
| 60.8% | (/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))) | |
| 51.7% | (/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) | |
| 60.1% | (/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))) | |
| 49.8% | (/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b)) | |
| ▶ | 75.5% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
| 46.4% | (/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b))) | |
| 48.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) | |
| 49.0% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) | |
| 63.3% | (/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b))) | |
| 62.1% | (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) | |
| ▶ | 52.9% | (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
| 48.8% | (/.f64 r (/.f64 (cos.f64 a) b)) | |
| 99.4% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))) | |
| 60.8% | (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) | |
| 75.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) | |
| 75.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 48.3% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 75.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) | |
| 75.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 98.8% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 98.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) | |
| 99.3% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 60.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 50.1% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 46.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 70.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) | |
| 71.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 62.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| ▶ | 52.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
| 75.5% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 75.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 75.6% | (*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) | |
| 48.8% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 74.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) | |
| ▶ | 34.6% | (*.f64 r b) |
| 48.8% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 32.8% | (*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) | |
| 29.5% | (*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) | |
| 34.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 3064 to 1866 computations (39.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
| ✓ | cost-diff | 13440 | (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
| ✓ | cost-diff | 13440 | (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)) |
| ✓ | cost-diff | 13440 | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 a)) |
| ✓ | cost-diff | 6592 | (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) |
| ✓ | cost-diff | 6592 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 a) (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 6336 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | cost-diff | 6336 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 3012× | *-lowering-*.f32 |
| 3012× | *-lowering-*.f64 |
| 1684× | /-lowering-/.f32 |
| 1684× | /-lowering-/.f64 |
| 1132× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 199 |
| 1 | 69 | 161 |
| 2 | 147 | 153 |
| 3 | 396 | 153 |
| 4 | 1541 | 153 |
| 5 | 2775 | 153 |
| 6 | 3697 | 153 |
| 7 | 5237 | 153 |
| 0 | 8783 | 153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
(* r (sin b)) |
r |
(sin b) |
b |
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) |
(cos b) |
(cos a) |
a |
(neg (* (sin b) (sin a))) |
(* (sin b) (sin a)) |
(sin a) |
(* r b) |
r |
b |
(/ r (/ (cos a) (sin b))) |
r |
(/ (cos a) (sin b)) |
(cos a) |
a |
(sin b) |
b |
(* (/ (sin b) (cos a)) (pow (/ 1 r) -1)) |
(/ (sin b) (cos a)) |
(sin b) |
b |
(cos a) |
a |
(pow (/ 1 r) -1) |
(/ 1 r) |
1 |
r |
-1 |
(/ r (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b))) |
r |
(/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b)) |
(* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) |
(* (cos (+ b a)) (cos (- b a))) |
(cos (+ b a)) |
(+ b a) |
b |
a |
(cos (- b a)) |
(- b a) |
(/ 1 (cos (- b a))) |
1 |
(sin b) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
r |
(sin b) |
(sin.f64 b) |
b |
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos b) |
(cos.f64 b) |
(cos a) |
(cos.f64 a) |
a |
(neg (* (sin b) (sin a))) |
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
(* (sin b) (sin a)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin a) |
(sin.f64 a) |
(* r b) |
(*.f64 r b) |
r |
b |
(/ r (/ (cos a) (sin b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) |
r |
(/ (cos a) (sin b)) |
(/.f64 (cos.f64 a) (sin.f64 b)) |
(cos a) |
(cos.f64 a) |
a |
(sin b) |
(sin.f64 b) |
b |
(* (/ (sin b) (cos a)) (pow (/ 1 r) -1)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)) |
(/ (sin b) (cos a)) |
(/.f64 (sin.f64 b) (cos.f64 a)) |
(sin b) |
(sin.f64 b) |
b |
(cos a) |
(cos.f64 a) |
a |
(pow (/ 1 r) -1) |
r |
(/ 1 r) |
(/.f64 #s(literal 1 binary64) r) |
1 |
#s(literal 1 binary64) |
r |
-1 |
#s(literal -1 binary64) |
(/ r (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
r |
(/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) |
(cos.f64 (+.f64 b a)) |
(* (cos (+ b a)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
b |
a |
(cos (- b a)) |
(cos.f64 (-.f64 b a)) |
(- b a) |
(-.f64 b a) |
(/ 1 (cos (- b a))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) |
1 |
#s(literal 1 binary64) |
(sin b) |
(sin.f64 b) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
| ✓ | accuracy | 75.9% | (cos.f64 (-.f64 b a)) |
| ✓ | accuracy | 75.8% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 b) (cos.f64 a)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 a) (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 b) (sin.f64 a)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 216.0ms | 178× | 1 | valid |
| 33.0ms | 78× | 0 | valid |
Compiled 205 to 31 computations (84.9% saved)
ival-cos: 40.0ms (25.5% of total)ival-sin: 30.0ms (19.1% of total)ival-mult: 27.0ms (17.2% of total)ival-div: 22.0ms (14% of total)backward-pass: 12.0ms (7.6% of total)ival-pow: 8.0ms (5.1% of total)compiled-spec: 8.0ms (5.1% of total)ival-add: 5.0ms (3.2% of total)ival-sub: 2.0ms (1.3% of total)ival-neg: 2.0ms (1.3% of total)const: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))> |
#<alt (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))> |
#<alt (* r (sin b))> |
#<alt (sin b)> |
#<alt (* r b)> |
#<alt (/ r (/ (cos a) (sin b)))> |
#<alt (/ (cos a) (sin b))> |
#<alt (cos a)> |
#<alt (* (/ (sin b) (cos a)) (pow (/ 1 r) -1))> |
#<alt (pow (/ 1 r) -1)> |
#<alt (/ (sin b) (cos a))> |
#<alt (/ r (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b)))> |
#<alt (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b))> |
#<alt (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a))))> |
#<alt (* (cos (+ b a)) (cos (- b a)))> |
#<alt (* (sin b) (sin a))> |
#<alt (cos (+ b a))> |
#<alt (cos (- b a))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
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#<alt (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (neg a))> |
#<alt (+ (cos (neg a)) (* -1 (* b (sin (neg a)))))> |
#<alt (+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))> |
#<alt (+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))> |
#<alt (cos (- b a))> |
#<alt (cos (- b a))> |
#<alt (cos (- b a))> |
#<alt (cos (- b a))> |
#<alt (cos (neg (+ a (* -1 b))))> |
#<alt (cos (neg (+ a (* -1 b))))> |
#<alt (cos (neg (+ a (* -1 b))))> |
#<alt (cos (neg (+ a (* -1 b))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* a (sin b)))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))> |
#<alt (cos (- b a))> |
#<alt (cos (- b a))> |
#<alt (cos (- b a))> |
#<alt (cos (- b a))> |
#<alt (cos (+ b (* -1 a)))> |
#<alt (cos (+ b (* -1 a)))> |
#<alt (cos (+ b (* -1 a)))> |
#<alt (cos (+ b (* -1 a)))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | -inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 1.0ms | b | @ | inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 1.0ms | b | @ | 0 | (* (cos (+ b a)) (cos (- b a))) |
| 1.0ms | a | @ | inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 1.0ms | r | @ | inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 1× | batch-egg-rewrite |
| 4288× | *-lowering-*.f32 |
| 4288× | *-lowering-*.f64 |
| 3494× | /-lowering-/.f32 |
| 3494× | /-lowering-/.f64 |
| 2418× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 104 |
| 1 | 167 | 91 |
| 2 | 1356 | 91 |
| 0 | 9547 | 91 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) |
(* r (sin b)) |
(sin b) |
(* r b) |
(/ r (/ (cos a) (sin b))) |
(/ (cos a) (sin b)) |
(cos a) |
(* (/ (sin b) (cos a)) (pow (/ 1 r) -1)) |
(pow (/ 1 r) -1) |
(/ (sin b) (cos a)) |
(/ r (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b))) |
(/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b)) |
(* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) |
(* (cos (+ b a)) (cos (- b a))) |
(* (sin b) (sin a)) |
(cos (+ b a)) |
(cos (- b a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(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) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(neg.f64 (/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (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) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (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 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (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 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.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 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(+.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b 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 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a)))) |
(-.f64 (+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 (-.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 b a)) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a))) |
(/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (+.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 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) |
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(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
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(*.f64 (cos.f64 (-.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) |
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 b a))) |
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (sqrt.f64 r)) |
(sin.f64 b) |
(*.f64 r b) |
(*.f64 b r) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 r (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 a) (sin.f64 b)))) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 a))) |
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 a))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r)) |
(pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (sqrt.f64 r)) (sqrt.f64 r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 a))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (cos.f64 a) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 a)))) |
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(/.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (sin.f64 b)) |
(pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (sin.f64 b))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 a)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 a))) |
(cos.f64 a) |
(cos.f64 (-.f64 #s(literal 0 binary64) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 r (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 a) (sin.f64 b)))) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 a))) |
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r)) |
(pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (sqrt.f64 r)) (sqrt.f64 r)) |
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
r |
(exp.f64 (log.f64 r)) |
(exp.f64 (*.f64 (log.f64 r) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 r)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) r))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal -1/2 binary64)))) |
(/.f64 r #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -1 binary64)) |
(pow.f64 r #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) r)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))) |
(*.f64 r #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) r) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) r)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) r) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 r) (sqrt.f64 r)) |
(*.f64 (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (sin.f64 b))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 a))) |
(/.f64 (sin.f64 b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 a)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 a) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.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)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(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) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(neg.f64 (/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (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) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (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 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (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 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.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 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (*.f64 #s(literal 2 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))) |
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (sin.f64 b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(+.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b 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 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a)))) |
(-.f64 (+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 (-.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (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 b a)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (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 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (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 b a)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (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 b a)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #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)) |
(*.f64 (cos.f64 (-.f64 b a)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 4798× | *-lowering-*.f32 |
| 4798× | *-lowering-*.f64 |
| 2148× | +-lowering-+.f64 |
| 2148× | +-lowering-+.f32 |
| 1994× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 493 | 4388 |
| 1 | 1775 | 4101 |
| 2 | 6526 | 4101 |
| 0 | 8023 | 4101 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(* 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) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(* r (sin b)) |
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b))) |
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b)))))) |
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b)))))) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* b r) (cos a)) |
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a)))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a)))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ 1 (sin b)) |
(+ (* -1/2 (/ (pow a 2) (sin b))) (/ 1 (sin b))) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) (sin b))) (* 1/2 (/ 1 (sin b))))) (/ 1 (sin b))) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) (sin b))) (* 1/24 (/ 1 (sin b))))) (* 1/2 (/ 1 (sin b))))) (/ 1 (sin b))) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) b) |
(/ (+ (cos a) (* 1/6 (* (pow b 2) (cos a)))) b) |
(/ (+ (cos a) (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/36 (cos a)) (* 1/120 (cos a))))) (* -1/6 (cos a))))) b) |
(/ (+ (cos a) (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/5040 (cos a)) (+ (* 1/720 (cos a)) (* 1/6 (+ (* -1/36 (cos a)) (* 1/120 (cos a)))))))) (+ (* -1/36 (cos a)) (* 1/120 (cos a))))) (* -1/6 (cos a))))) b) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
(/ (cos a) (sin b)) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* b r) (cos a)) |
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a)))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a)))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(* r (sin b)) |
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b))) |
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b)))))) |
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b)))))) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
(/ b (cos a)) |
(* b (+ (* -1/6 (/ (pow b 2) (cos a))) (/ 1 (cos a)))) |
(* b (+ (* (pow b 2) (- (* 1/120 (/ (pow b 2) (cos a))) (* 1/6 (/ 1 (cos a))))) (/ 1 (cos a)))) |
(* b (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1/5040 (/ (pow b 2) (cos a))) (* 1/120 (/ 1 (cos a))))) (* 1/6 (/ 1 (cos a))))) (/ 1 (cos a)))) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(sin b) |
(+ (sin b) (* 1/2 (* (pow a 2) (sin b)))) |
(+ (sin b) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (sin b)) (* 1/24 (sin b))))) (* -1/2 (sin b))))) |
(+ (sin b) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (sin b)) (+ (* 1/48 (sin b)) (* 1/2 (+ (* -1/4 (sin b)) (* 1/24 (sin b)))))))) (+ (* -1/4 (sin b)) (* 1/24 (sin b))))) (* -1/2 (sin b))))) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (cos a)) |
(/ (sin b) (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 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)))) |
(/ (cos a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos b) (sin b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (+ a b)) (sin b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(pow (cos b) 2) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(cos (- b a)) |
(cos (- b a)) |
(cos (- b a)) |
(cos (- b a)) |
(cos (neg (+ a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
(cos (- b a)) |
(cos (- b a)) |
(cos (- b a)) |
(cos (- b a)) |
(cos (+ b (* -1 a))) |
(cos (+ b (* -1 a))) |
(cos (+ b (* -1 a))) |
(cos (+ b (* -1 a))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
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(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) |
(+.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (/.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (*.f64 a #s(literal 1/6 binary64))))))) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)))) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (*.f64 a #s(literal 1/6 binary64))))) (sin.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 (neg a))) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 b (*.f64 (cos.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))) (*.f64 b (-.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))) (*.f64 b (+.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))))))))))) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(pow (cos b) 2) |
(pow.f64 (cos.f64 b) #s(literal 2 binary64)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 a #s(literal 0 binary64))) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 a a))) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 a (+.f64 (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) #s(literal 1/2 binary64))))))) #s(literal 0 binary64)))) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (sin.f64 a))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(*.f64 b (+.f64 (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(*.f64 b (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (sin.f64 a)) (*.f64 (*.f64 (sin.f64 a) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(*.f64 a (+.f64 (sin.f64 b) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 a a))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b)) (*.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)))) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (*.f64 a #s(literal 1/6 binary64))))) (sin.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 (neg a)) |
(cos.f64 a) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 a) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (sin.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (sin.f64 a))))))))) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(cos (neg (+ a (* -1 b)))) |
(cos.f64 (-.f64 a b)) |
(cos (neg (+ a (* -1 b)))) |
(cos.f64 (-.f64 a b)) |
(cos (neg (+ a (* -1 b)))) |
(cos.f64 (-.f64 a b)) |
(cos (neg (+ a (* -1 b)))) |
(cos.f64 (-.f64 a b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* a (sin b))) |
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (sin.f64 b) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b))))) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(cos (+ b (* -1 a))) |
(cos.f64 (-.f64 a b)) |
(cos (+ b (* -1 a))) |
(cos.f64 (-.f64 a b)) |
(cos (+ b (* -1 a))) |
(cos.f64 (-.f64 a b)) |
(cos (+ b (* -1 a))) |
(cos.f64 (-.f64 a b)) |
Compiled 37785 to 3471 computations (90.8% saved)
87 alts after pruning (84 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1353 | 26 | 1379 |
| Fresh | 8 | 58 | 66 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1363 | 87 | 1450 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 75.5% | (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) | |
| 52.9% | (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r)) | |
| 75.5% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 98.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 48.4% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 98.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (sin.f64 b)) (sin.f64 a)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 63.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 76.0% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))) | |
| 98.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 60.8% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 50.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b))))) | |
| 49.6% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) | |
| 34.3% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) | |
| 75.6% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) | |
| 33.2% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a)))) | |
| 62.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| ▶ | 53.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| 33.3% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) | |
| 33.4% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) | |
| ▶ | 33.4% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
| 49.0% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| 99.4% | (/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) | |
| 98.8% | (/.f64 r (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))) | |
| 66.3% | (/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) | |
| 99.4% | (/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) | |
| ▶ | 60.8% | (/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))) |
| 51.7% | (/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) | |
| ▶ | 60.1% | (/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))) |
| 49.8% | (/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b)) | |
| 35.7% | (/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) | |
| 54.5% | (/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 99.2% | (/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (-.f64 b a))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 49.2% | (/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) | |
| 98.6% | (/.f64 r (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 61.9% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b))) | |
| 52.8% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b))) | |
| 62.0% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 52.9% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 46.4% | (/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b))) | |
| 49.0% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) | |
| 63.3% | (/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b))) | |
| 62.1% | (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) | |
| 48.4% | (/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) | |
| ✓ | 52.9% | (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
| 48.8% | (/.f64 r (/.f64 (cos.f64 a) b)) | |
| 38.6% | (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 99.4% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))) | |
| 60.8% | (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) | |
| 75.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) | |
| 75.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 52.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) | |
| 75.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) | |
| 75.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 98.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) | |
| 99.3% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 60.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 46.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 70.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) | |
| 71.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 62.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 52.8% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64))) | |
| 50.2% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) | |
| 50.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r))) | |
| 75.5% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 75.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 53.0% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 75.6% | (*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) | |
| 48.8% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 74.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) | |
| 32.6% | (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) | |
| 38.6% | (*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 53.0% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 38.7% | (*.f64 r (sin.f64 b)) | |
| ✓ | 34.6% | (*.f64 r b) |
| 48.8% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 32.8% | (*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) | |
| 29.5% | (*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) | |
| 34.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 24.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 3571 to 2215 computations (38% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 b) |
| ✓ | cost-diff | 6272 | (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) |
| ✓ | cost-diff | 12800 | (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)) |
| ✓ | cost-diff | 12800 | (/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (cos.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
| ✓ | cost-diff | 6528 | (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)) |
| ✓ | cost-diff | 6528 | (/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 6400 | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
| ✓ | cost-diff | 6400 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 2106× | sum4-define |
| 1888× | fma-lowering-fma.f32 |
| 1888× | fma-lowering-fma.f64 |
| 1874× | *-lowering-*.f32 |
| 1874× | *-lowering-*.f64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 226 |
| 1 | 75 | 221 |
| 2 | 143 | 216 |
| 3 | 277 | 212 |
| 4 | 575 | 210 |
| 5 | 1404 | 210 |
| 6 | 5919 | 208 |
| 0 | 8036 | 208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))) |
(* r (sin b)) |
r |
(sin b) |
b |
(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))) |
(- 0 (sin b)) |
0 |
(sin a) |
a |
(* (cos b) (cos a)) |
(cos b) |
(cos a) |
(/ (* r b) (+ 1 (* -1/2 (* a a)))) |
(* r b) |
r |
b |
(+ 1 (* -1/2 (* a a))) |
1 |
(* -1/2 (* a a)) |
-1/2 |
(* a a) |
a |
(/ (* r (sin b)) (cos a)) |
(* r (sin b)) |
r |
(sin b) |
b |
(cos a) |
a |
(/ r (/ (- (cos b) (* (sin b) a)) (sin b))) |
r |
(/ (- (cos b) (* (sin b) a)) (sin b)) |
(- (cos b) (* (sin b) a)) |
(cos b) |
b |
(* (sin b) a) |
(sin b) |
a |
(/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))) |
r |
(/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b)) |
(+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) |
(cos b) |
b |
(* a (- (* a (* (cos b) -1/2)) (sin b))) |
a |
(- (* a (* (cos b) -1/2)) (sin b)) |
(* a (* (cos b) -1/2)) |
(* (cos b) -1/2) |
-1/2 |
(sin b) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
r |
(sin b) |
(sin.f64 b) |
b |
(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(- 0 (sin b)) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
0 |
#s(literal 0 binary64) |
(sin a) |
(sin.f64 a) |
a |
(* (cos b) (cos a)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos b) |
(cos.f64 b) |
(cos a) |
(cos.f64 a) |
(/ (* r b) (+ 1 (* -1/2 (* a a)))) |
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))) |
(* r b) |
(*.f64 r b) |
r |
b |
(+ 1 (* -1/2 (* a a))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
1 |
#s(literal 1 binary64) |
(* -1/2 (* a a)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
-1/2 |
#s(literal -1/2 binary64) |
(* a a) |
(*.f64 a a) |
a |
(/ (* r (sin b)) (cos a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
r |
(sin b) |
(sin.f64 b) |
b |
(cos a) |
(cos.f64 a) |
a |
(/ r (/ (- (cos b) (* (sin b) a)) (sin b))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
r |
(/ (- (cos b) (* (sin b) a)) (sin b)) |
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a) |
(- (cos b) (* (sin b) a)) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(cos b) |
(cos.f64 b) |
b |
(* (sin b) a) |
(*.f64 (sin.f64 b) a) |
(sin b) |
(sin.f64 b) |
a |
(/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (sin.f64 b)) a)) |
r |
(/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b)) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (sin.f64 b)) a) |
(+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) |
(-.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 (sin.f64 b) a)) |
(cos b) |
(cos.f64 b) |
b |
(* a (- (* a (* (cos b) -1/2)) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
a |
(- (* a (* (cos b) -1/2)) (sin b)) |
(-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) |
(* a (* (cos b) -1/2)) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* (cos b) -1/2) |
(*.f64 (cos.f64 b) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(sin b) |
(sin.f64 b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)) |
| ✓ | accuracy | 93.2% | (/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))) |
| ✓ | accuracy | 100.0% | (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
| ✓ | accuracy | 99.8% | (/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) a) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
| ✓ | accuracy | 89.2% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 b) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
| ✓ | 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 b) (cos.f64 a)))) |
| 114.0ms | 256× | 0 | valid |
Compiled 238 to 33 computations (86.1% saved)
ival-mult: 23.0ms (32.5% of total)ival-sin: 13.0ms (18.4% of total)ival-cos: 12.0ms (17% of total)ival-div: 11.0ms (15.6% of total)ival-add: 4.0ms (5.7% of total)ival-sub: 4.0ms (5.7% of total)compiled-spec: 3.0ms (4.2% of total)const: 1.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))> |
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))> |
#<alt (* r (sin b))> |
#<alt (sin b)> |
#<alt (/ (* r b) (+ 1 (* -1/2 (* a a))))> |
#<alt (* r b)> |
#<alt (+ 1 (* -1/2 (* a a)))> |
#<alt (* -1/2 (* a a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (cos a)> |
#<alt (/ r (/ (- (cos b) (* (sin b) a)) (sin b)))> |
#<alt (/ (- (cos b) (* (sin b) a)) (sin b))> |
#<alt (- (cos b) (* (sin b) a))> |
#<alt (cos b)> |
#<alt (/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b)))> |
#<alt (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))> |
#<alt (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b))))> |
#<alt (* (cos b) (cos a))> |
#<alt (* a a)> |
#<alt (* (sin b) a)> |
#<alt (* a (* (cos b) -1/2))> |
#<alt (* a (- (* a (* (cos b) -1/2)) (sin b)))> |
| 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 (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (* 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 (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (* b r)> |
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))> |
#<alt (+ (* b r) (* (pow a 2) (- (* 1/4 (* (pow a 2) (* b r))) (* -1/2 (* b r)))))> |
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* 1/8 (* (pow a 2) (* b r))) (* -1/4 (* b r)))) (* -1/2 (* b r)))))> |
#<alt (* -2 (/ (* b r) (pow a 2)))> |
#<alt (/ (+ (* -4 (/ (* b r) (pow a 2))) (* -2 (* b r))) (pow a 2))> |
#<alt (/ (- (+ (* -8 (/ (* b r) (pow a 4))) (* -2 (* b r))) (* 4 (/ (* b r) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (+ (* -16 (/ (* b r) (pow a 6))) (* -2 (* b r))) (+ (* 4 (/ (* b r) (pow a 2))) (* 8 (/ (* b r) (pow a 4))))) (pow a 2))> |
#<alt (* -2 (/ (* b r) (pow a 2)))> |
#<alt (/ (+ (* -4 (/ (* b r) (pow a 2))) (* -2 (* b r))) (pow a 2))> |
#<alt (/ (- (+ (* -8 (/ (* b r) (pow a 4))) (* -2 (* b r))) (* 4 (/ (* b r) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (+ (* -16 (/ (* b r) (pow a 6))) (* -2 (* b r))) (+ (* 4 (/ (* b r) (pow a 2))) (* 8 (/ (* b r) (pow a 4))))) (pow a 2))> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))> |
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))> |
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (* r (sin b))> |
#<alt (+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))> |
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))> |
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt (/ (* r (sin b)) (cos a))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))> |
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (* b r)> |
#<alt (* b (+ r (* a (* b r))))> |
#<alt (* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))> |
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#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
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#<alt (* -1 (/ r a))> |
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#<alt (/ 1 b)> |
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#<alt (* -1 a)> |
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#<alt (- (cos b) (* a (sin b)))> |
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#<alt (- (cos b) (* a (sin b)))> |
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#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
#<alt (cos b)> |
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#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (* -1 (* a (sin b)))> |
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#<alt (* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))> |
#<alt 1> |
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#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
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#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
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#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
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#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))> |
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#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2))> |
#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))> |
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#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))> |
#<alt (/ (+ 1 (* -1/2 (pow a 2))) b)> |
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#<alt (/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))> |
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#<alt (* (cos a) (cos b))> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (* a b)> |
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#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))> |
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#<alt (* a (sin b))> |
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#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 a)> |
#<alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))> |
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))> |
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1 (* a (sin b)))> |
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))> |
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))> |
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))> |
#<alt (* -1/2 (* (pow a 2) (cos b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* -1/2 (* (pow a 2) (cos b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (+ (* -1 (* a b)) (* -1/2 (pow a 2)))> |
#<alt (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b)))))> |
#<alt (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2)))))))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | (/ (* r b) (+ 1 (* -1/2 (* a a)))) |
| 1.0ms | a | @ | -inf | (/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))) |
| 1.0ms | r | @ | 0 | (/ (* r b) (+ 1 (* -1/2 (* a a)))) |
| 1.0ms | b | @ | inf | (/ r (/ (- (cos b) (* (sin b) a)) (sin b))) |
| 1.0ms | b | @ | -inf | (/ r (/ (- (cos b) (* (sin b) a)) (sin b))) |
| 1× | batch-egg-rewrite |
| 3424× | /-lowering-/.f32 |
| 3424× | /-lowering-/.f64 |
| 3302× | *-lowering-*.f32 |
| 3302× | *-lowering-*.f64 |
| 2254× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 174 |
| 1 | 196 | 169 |
| 2 | 1657 | 152 |
| 0 | 8540 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))) |
(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))) |
(* r (sin b)) |
(sin b) |
(/ (* r b) (+ 1 (* -1/2 (* a a)))) |
(* r b) |
(+ 1 (* -1/2 (* a a))) |
(* -1/2 (* a a)) |
(/ (* r (sin b)) (cos a)) |
(cos a) |
(/ r (/ (- (cos b) (* (sin b) a)) (sin b))) |
(/ (- (cos b) (* (sin b) a)) (sin b)) |
(- (cos b) (* (sin b) a)) |
(cos b) |
(/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))) |
(/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b)) |
(+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) |
(* (cos b) (cos a)) |
(* a a) |
(* (sin b) a) |
(* a (* (cos b) -1/2)) |
(* a (- (* a (* (cos b) -1/2)) (sin b))) |
| 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 #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (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) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (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 (neg.f64 (neg.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(*.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 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.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))) (*.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 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (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 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 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 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(+.f64 (cos.f64 (+.f64 b a)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(cos.f64 (+.f64 b a)) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))) |
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
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(*.f64 (/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1/2 binary64))) a) |
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(pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
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(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 a))) |
(cos.f64 a) |
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(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))) |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) |
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(pow.f64 (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
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(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) |
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(cos.f64 b) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) |
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(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) |
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(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64)) |
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(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
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(*.f64 (sin.f64 b) a) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) a)) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (sin.f64 b) (+.f64 (sin.f64 b) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) a)) (neg.f64 (+.f64 (sin.f64 b) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) (-.f64 (*.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 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (*.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a)) (-.f64 (*.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 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)))))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(*.f64 (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) a) |
| 1× | egg-herbie |
| 6608× | *-lowering-*.f32 |
| 6608× | *-lowering-*.f64 |
| 2810× | +-lowering-+.f64 |
| 2810× | +-lowering-+.f32 |
| 1774× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 683 | 6347 |
| 1 | 2364 | 5888 |
| 0 | 8357 | 5888 |
| 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)))) |
(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))) |
(* 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) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* 1/4 (* (pow a 2) (* b r))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* 1/8 (* (pow a 2) (* b r))) (* -1/4 (* b r)))) (* -1/2 (* b r))))) |
(* -2 (/ (* b r) (pow a 2))) |
(/ (+ (* -4 (/ (* b r) (pow a 2))) (* -2 (* b r))) (pow a 2)) |
(/ (- (+ (* -8 (/ (* b r) (pow a 4))) (* -2 (* b r))) (* 4 (/ (* b r) (pow a 2)))) (pow a 2)) |
(/ (- (+ (* -16 (/ (* b r) (pow a 6))) (* -2 (* b r))) (+ (* 4 (/ (* b r) (pow a 2))) (* 8 (/ (* b r) (pow a 4))))) (pow a 2)) |
(* -2 (/ (* b r) (pow a 2))) |
(/ (+ (* -4 (/ (* b r) (pow a 2))) (* -2 (* b r))) (pow a 2)) |
(/ (- (+ (* -8 (/ (* b r) (pow a 4))) (* -2 (* b r))) (* 4 (/ (* b r) (pow a 2)))) (pow a 2)) |
(/ (- (+ (* -16 (/ (* b r) (pow a 6))) (* -2 (* b r))) (+ (* 4 (/ (* b r) (pow a 2))) (* 8 (/ (* b r) (pow a 4))))) (pow a 2)) |
(* 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) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* -1/2 (pow a 2))) |
(* -1/2 (pow a 2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* -1/2 (pow a 2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(* -1/2 (pow a 2)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* b r) (cos a)) |
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a)))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a)))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(* r (sin b)) |
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b))) |
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b)))))) |
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b)))))) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(* b r) |
(* b (+ r (* a (* b r)))) |
(* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r)))))) |
(* b (+ r (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (* a (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r))))) (+ (* -1/2 (* a r)) (* 1/6 (* a r)))))) (* -1/6 r)) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r)))))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (/ (* a (* r (pow (sin b) 3))) (pow (cos b) 3)) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (/ (* a (* r (pow (sin b) 4))) (pow (cos b) 4)) (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(* -1 (/ r a)) |
(/ (+ (* -1 r) (* -1 (/ (* r (cos b)) (* a (sin b))))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) (/ (* r (cos b)) (* a (sin b)))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (cos b)) (* a (sin b))) (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) a) |
(* -1 (/ r a)) |
(* -1 (/ (+ r (/ (* r (cos b)) (* a (sin b)))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* r (cos b)) (sin b))) a))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* r (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* r (cos b)) (sin b))) a))) a)) |
(/ 1 b) |
(/ (+ 1 (* -1 (* a b))) b) |
(/ (+ 1 (* b (+ (* -1 a) (* -1/3 b)))) b) |
(/ (+ 1 (* b (+ (* -1 a) (* b (- (* -1/45 (pow b 2)) 1/3))))) b) |
(/ (- (cos b) (* a (sin b))) (sin b)) |
(/ (- (cos b) (* a (sin b))) (sin b)) |
(/ (- (cos b) (* a (sin b))) (sin b)) |
(/ (- (cos b) (* a (sin b))) (sin b)) |
(/ (- (cos b) (* a (sin b))) (sin b)) |
(/ (- (cos b) (* a (sin b))) (sin b)) |
(/ (- (cos b) (* a (sin b))) (sin b)) |
(/ (- (cos b) (* a (sin b))) (sin b)) |
(/ (cos b) (sin b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(* -1 a) |
(* a (- (/ (cos b) (* a (sin b))) 1)) |
(* a (- (/ (cos b) (* a (sin b))) 1)) |
(* a (- (/ (cos b) (* a (sin b))) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))) |
(* -1 (* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))) |
(* -1 (* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (- (* -1/2 b) a))) |
(+ 1 (* b (- (* b (- (* 1/6 (* a b)) 1/2)) a))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* -1 (* a (sin b)))) |
(* -1 (* a (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* -1 (* a (sin b))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* a (* b r)) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* r (- (* 1/4 (pow a 2)) 1/2))) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (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))) |
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2)) |
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2)) |
(/ (+ 1 (* -1/2 (pow a 2))) b) |
(/ (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) b) |
(/ (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) (+ 1/2 (* -1/6 (+ 1 (* -1/2 (pow a 2))))))))))) b) |
(/ (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/4 (pow a 2)) (* (pow b 2) (- (+ 1/24 (* -1/48 (pow a 2))) (+ (* -1/6 (- (* 1/4 (pow a 2)) (+ 1/2 (* -1/6 (+ 1 (* -1/2 (pow a 2))))))) (* 1/120 (+ 1 (* -1/2 (pow a 2)))))))) (+ 1/2 (* -1/6 (+ 1 (* -1/2 (pow a 2))))))))))) b) |
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b)) |
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b)) |
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b)) |
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b)) |
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b)) |
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b)) |
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b)) |
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b)) |
(/ (cos b) (sin b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(* -1/2 (/ (* (pow a 2) (cos b)) (sin b))) |
(* (pow a 2) (- (* -1/2 (/ (cos b) (sin b))) (/ 1 a))) |
(* (pow a 2) (- (+ (* -1/2 (/ (cos b) (sin b))) (/ (cos b) (* (pow a 2) (sin b)))) (/ 1 a))) |
(* (pow a 2) (- (+ (* -1/2 (/ (cos b) (sin b))) (/ (cos b) (* (pow a 2) (sin b)))) (/ 1 a))) |
(* -1/2 (/ (* (pow a 2) (cos b)) (sin b))) |
(* (pow a 2) (- (* -1/2 (/ (cos b) (sin b))) (/ 1 a))) |
(* (pow a 2) (+ (* -1 (/ (+ 1 (* -1 (/ (cos b) (* a (sin b))))) a)) (* -1/2 (/ (cos b) (sin b))))) |
(* (pow a 2) (+ (* -1 (/ (+ 1 (* -1 (/ (cos b) (* a (sin b))))) a)) (* -1/2 (/ (cos b) (sin b))))) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2)))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin 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)) (* -1/2 (* a (cos b)))))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) |
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (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 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)) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(* a b) |
(* b (+ a (* -1/6 (* a (pow b 2))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2))))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a))))))) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 a) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* -1/2 (pow a 2)) |
(+ (* -1 (* a b)) (* -1/2 (pow a 2))) |
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b))))) |
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))))))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+.f64 (cos.f64 b) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(* a b) |
(*.f64 b a) |
(* b (+ a (* -1/6 (* a (pow b 2))))) |
(*.f64 b (+.f64 a (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2))))))) |
(*.f64 b (+.f64 a (*.f64 b (*.f64 b (+.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a))))))) |
(*.f64 b (+.f64 a (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))) (*.f64 a #s(literal 1/120 binary64)))))))) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) |
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (*.f64 b (*.f64 a #s(literal -1/48 binary64)))) (*.f64 a #s(literal 1/4 binary64))))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) |
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/1440 binary64)))))))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1 (* a (sin b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* -1/2 (* (pow a 2) (cos b))) |
(*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a))) |
(* -1/2 (* (pow a 2) (cos b))) |
(*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a))) |
(* -1/2 (pow a 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(+ (* -1 (* a b)) (* -1/2 (pow a 2))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)) |
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (-.f64 (*.f64 b (*.f64 a (*.f64 a #s(literal 1/4 binary64)))) a))) |
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 b (*.f64 a #s(literal 1/6 binary64))) (*.f64 a (*.f64 a #s(literal 1/4 binary64))))) a))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
(* a (- (* -1/2 (* a (cos b))) (sin b))) |
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) |
Compiled 29752 to 2800 computations (90.6% saved)
103 alts after pruning (96 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1240 | 27 | 1267 |
| Fresh | 10 | 69 | 79 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1251 | 103 | 1354 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 75.5% | (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) | |
| 52.9% | (/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r)) | |
| 75.5% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 98.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 20.8% | (/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a)) | |
| 6.9% | (/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a)) | |
| 48.4% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) | |
| 53.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 63.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 54.2% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 98.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (sin.f64 b)) (sin.f64 a)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 63.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 98.7% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))))) | |
| 76.0% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))) | |
| 98.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 50.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 49.6% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a)))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b))))) | |
| 34.3% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) | |
| 75.6% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) | |
| 62.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| ✓ | 53.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| 33.3% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) | |
| 33.4% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) | |
| 10.1% | (/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) | |
| 99.4% | (/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) | |
| 98.8% | (/.f64 r (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))) | |
| 66.3% | (/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) | |
| 99.4% | (/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) | |
| 33.9% | (/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) | |
| ✓ | 60.8% | (/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))) |
| 51.7% | (/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) | |
| 35.1% | (/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) | |
| 60.1% | (/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b))) | |
| ✓ | 60.1% | (/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))) |
| 49.8% | (/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b)) | |
| 33.6% | (/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) | |
| 34.6% | (/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) | |
| 33.4% | (/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) | |
| 54.5% | (/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 99.2% | (/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (-.f64 b a))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 49.2% | (/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) | |
| 98.6% | (/.f64 r (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 61.9% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b))) | |
| 52.8% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b))) | |
| 62.0% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 52.9% | (/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) | |
| 46.4% | (/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b))) | |
| 49.0% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) | |
| 63.3% | (/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b))) | |
| 62.1% | (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) | |
| ✓ | 52.9% | (/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
| 48.8% | (/.f64 r (/.f64 (cos.f64 a) b)) | |
| 38.6% | (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 34.5% | (/.f64 r (/.f64 #s(literal 1 binary64) b)) | |
| 99.4% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))) | |
| 60.8% | (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) | |
| 6.4% | (/.f64 r (-.f64 #s(literal 0 binary64) a)) | |
| 32.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) | |
| 75.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) | |
| 60.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) | |
| 75.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 52.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) | |
| 75.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) | |
| 75.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 98.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) | |
| 99.3% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 60.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r) | |
| 46.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 70.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) | |
| 71.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 62.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 52.8% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64))) | |
| 50.2% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) | |
| 50.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r))) | |
| 75.5% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 29.7% | (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) | |
| 27.8% | (*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) | |
| 75.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 53.0% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 75.6% | (*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) | |
| 29.7% | (*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) | |
| 48.8% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 60.2% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) | |
| 74.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) | |
| 32.6% | (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) | |
| 38.6% | (*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 53.0% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 38.7% | (*.f64 r (sin.f64 b)) | |
| ✓ | 34.6% | (*.f64 r b) |
| 33.4% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) | |
| 48.8% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 8.8% | (*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) | |
| 32.5% | (*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) | |
| 34.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 24.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 4827 to 1894 computations (60.8% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 r (/.f64 (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 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
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(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 b) (cos.f64 a)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 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 (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.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))))))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
4 calls:
| 65.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 57.0ms | r |
| 53.0ms | b |
| 51.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | r |
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 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 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 r (/.f64 (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 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r) |
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (/.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) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b))))) |
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a)) |
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b)) |
(/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.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 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) |
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a)) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (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) (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 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
| Outputs |
|---|
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) |
4 calls:
| 57.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 51.0ms | r |
| 44.0ms | b |
| 35.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | r |
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 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 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 r (/.f64 (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 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r) |
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (/.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) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b))))) |
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a)) |
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b)) |
(/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.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 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) |
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a)) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (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) (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 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))) |
4 calls:
| 57.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 41.0ms | b |
| 36.0ms | r |
| 32.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 1 | r |
| 76.0% | 1 | a |
| 76.0% | 1 | b |
| 76.0% | 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 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 r (/.f64 (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 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r) |
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (/.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) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b))))) |
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a)) |
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b)) |
(/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.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 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b))) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))) |
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a)) |
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
4 calls:
| 51.0ms | a |
| 36.0ms | b |
| 31.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 31.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 75.7% | 1 | r |
| 75.7% | 1 | a |
| 75.7% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 r (/.f64 (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 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
| Outputs |
|---|
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
3 calls:
| 26.0ms | a |
| 25.0ms | r |
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 1 | r |
| 76.1% | 3 | a |
| 76.5% | 3 | b |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
| Outputs |
|---|
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
3 calls:
| 13.0ms | a |
| 12.0ms | b |
| 12.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 1 | r |
| 53.0% | 1 | a |
| 53.0% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
3 calls:
| 20.0ms | b |
| 16.0ms | r |
| 11.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 3 | b |
| 49.2% | 1 | a |
| 49.2% | 1 | r |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a)))) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b)) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 r (sin.f64 b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (sin.f64 b)) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
(*.f64 r (sin.f64 b)) |
| Outputs |
|---|
(*.f64 r (sin.f64 b)) |
3 calls:
| 17.0ms | a |
| 6.0ms | r |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.7% | 1 | r |
| 38.7% | 1 | a |
| 38.7% | 1 | b |
Compiled 12 to 9 computations (25% saved)
Total -21.6b remaining (-51.7%)
Threshold costs -21.6b (-51.7%)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (-.f64 #s(literal 0 binary64) a)) |
(/.f64 r (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r)) |
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b)) |
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b)) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64))))))))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) |
| Outputs |
|---|
(*.f64 r b) |
3 calls:
| 21.0ms | b |
| 6.0ms | r |
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.6% | 1 | a |
| 34.6% | 1 | b |
| 34.6% | 1 | r |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.7625687425251072e-11 | 3.454809335368143e-6 |
| 25.0ms | -14349883.17366734 | -234765.297074692 |
| 26.0ms | 108× | 1 | valid |
| 14.0ms | 148× | 0 | valid |
Compiled 370 to 269 computations (27.3% saved)
ival-sin: 8.0ms (32.5% of total)ival-cos: 8.0ms (32.5% of total)ival-mult: 3.0ms (12.2% of total)ival-add: 2.0ms (8.1% of total)ival-div: 2.0ms (8.1% of total)backward-pass: 1.0ms (4.1% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.7625687425251072e-11 | 3.454809335368143e-6 |
| 24.0ms | -14349883.17366734 | -234765.297074692 |
| 26.0ms | 127× | 1 | valid |
| 12.0ms | 129× | 0 | valid |
Compiled 370 to 269 computations (27.3% saved)
ival-sin: 9.0ms (34.9% of total)ival-cos: 8.0ms (31% of total)ival-mult: 3.0ms (11.6% of total)ival-add: 2.0ms (7.7% of total)ival-div: 2.0ms (7.7% of total)backward-pass: 2.0ms (7.7% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 3.454809335368143e-6 | 0.48256408473710244 |
| 42.0ms | -7742674566099505000.0 | -2657266891348.2866 |
| 47.0ms | 200× | 1 | valid |
| 35.0ms | 88× | 0 | valid |
Compiled 522 to 373 computations (28.5% saved)
ival-cos: 14.0ms (36% of total)ival-sin: 12.0ms (30.9% of total)ival-mult: 4.0ms (10.3% of total)ival-add: 3.0ms (7.7% of total)ival-div: 3.0ms (7.7% of total)backward-pass: 3.0ms (7.7% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 3.454809335368143e-6 | 0.48256408473710244 |
| 42.0ms | -7742674566099505000.0 | -2657266891348.2866 |
| 49.0ms | 209× | 1 | valid |
| 16.0ms | 79× | 0 | valid |
Compiled 522 to 373 computations (28.5% saved)
ival-sin: 22.0ms (43.7% of total)ival-cos: 14.0ms (27.8% of total)ival-mult: 4.0ms (8% of total)ival-add: 3.0ms (6% of total)ival-div: 3.0ms (6% of total)backward-pass: 3.0ms (6% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 1516.5198380522038 | 219608209.44656968 |
| 26.0ms | -14349883.17366734 | -234765.297074692 |
| 26.0ms | 101× | 1 | valid |
| 21.0ms | 155× | 0 | valid |
Compiled 338 to 237 computations (29.9% saved)
ival-sin: 15.0ms (44.7% of total)ival-cos: 10.0ms (29.8% of total)ival-mult: 3.0ms (8.9% of total)ival-add: 2.0ms (6% of total)ival-div: 2.0ms (6% of total)backward-pass: 1.0ms (3% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 13.37465258268199 | 1516.5198380522038 |
| 24.0ms | -14349883.17366734 | -234765.297074692 |
| 21.0ms | 95× | 1 | valid |
| 21.0ms | 129× | 0 | valid |
Compiled 270 to 195 computations (27.8% saved)
ival-sin: 13.0ms (42.9% of total)ival-cos: 10.0ms (33% of total)ival-mult: 3.0ms (9.9% of total)ival-add: 2.0ms (6.6% of total)ival-div: 2.0ms (6.6% of total)backward-pass: 1.0ms (3.3% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 13.37465258268199 | 1516.5198380522038 |
| 24.0ms | -14349883.17366734 | -234765.297074692 |
| 24.0ms | 95× | 1 | valid |
| 16.0ms | 129× | 0 | valid |
Compiled 270 to 195 computations (27.8% saved)
ival-sin: 14.0ms (47.5% of total)ival-cos: 8.0ms (27.1% of total)ival-mult: 3.0ms (10.2% of total)ival-add: 2.0ms (6.8% of total)ival-div: 2.0ms (6.8% of total)backward-pass: 1.0ms (3.4% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 14× | if-if-or-not_binary32 |
| 10× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 247 |
| 1 | 142 | 247 |
| 2 | 159 | 247 |
| 3 | 168 | 247 |
| 4 | 172 | 247 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 5076543969084869/2361183241434822606848 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/1180591620717411303424 binary64)) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(if (<=.f64 b #s(literal -112000000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -2700000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -310000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3200 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -250000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -310000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r b) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.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 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 a (-.f64 (+.f64 b a) b)))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))) |
(*.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 -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 5076543969084869/2361183241434822606848 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/1180591620717411303424 binary64)) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/1180591620717411303424 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (/.f64 r (/.f64 (cos.f64 b) (sin.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 -112000000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -2700000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -310000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3200 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -250000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -250000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -310000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r b) |
| 6648× | *-lowering-*.f32 |
| 6648× | *-lowering-*.f64 |
| 5462× | *-lowering-*.f32 |
| 5462× | *-lowering-*.f64 |
| 4798× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 493 | 4388 |
| 1 | 1775 | 4101 |
| 2 | 6526 | 4101 |
| 0 | 8023 | 4101 |
| 0 | 561 | 6002 |
| 1 | 1957 | 5598 |
| 2 | 7078 | 5598 |
| 0 | 8729 | 5598 |
| 0 | 31 | 104 |
| 1 | 167 | 91 |
| 2 | 1356 | 91 |
| 0 | 9547 | 91 |
| 0 | 167 | 937 |
| 1 | 557 | 880 |
| 2 | 1899 | 847 |
| 3 | 7323 | 847 |
| 0 | 8053 | 847 |
| 0 | 8 | 9 |
| 1 | 12 | 9 |
| 2 | 15 | 9 |
| 3 | 16 | 9 |
| 0 | 16 | 9 |
| 0 | 33 | 161 |
| 1 | 181 | 121 |
| 2 | 1445 | 121 |
| 0 | 8528 | 121 |
| 0 | 8 | 19 |
| 1 | 39 | 19 |
| 2 | 253 | 19 |
| 3 | 2314 | 19 |
| 0 | 11205 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 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 1046 to 606 computations (42.1% saved)
(negabs r)
Compiled 780 to 324 computations (58.5% saved)
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