
Time bar (total: 13.5s)
| 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: 41.0ms (35.4% of total)ival-mult: 25.0ms (21.6% of total)ival-add: 18.0ms (15.5% of total)ival-cos: 18.0ms (15.5% of total)ival-div: 10.0ms (8.6% of total)const: 2.0ms (1.7% of total)backward-pass: 1.0ms (0.9% of total)| 1.6s | 5908× | 1 | valid |
| 482.0ms | 2348× | 0 | valid |
ival-sin: 387.0ms (34.5% of total)ival-cos: 289.0ms (25.7% of total)ival-mult: 123.0ms (11% of total)ival-div: 117.0ms (10.4% of total)backward-pass: 112.0ms (10% of total)ival-add: 87.0ms (7.7% of total)const: 8.0ms (0.7% of total)| 2× | egg-herbie |
| 2148× | 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 | 3560 | 93 |
| 6 | 5901 | 93 |
| 7 | 6912 | 93 |
| 8 | 7898 | 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)) (sec (+ b a))) |
(/ (* (neg r) (sin b)) (cos (+ a b))) |
(* r (* (neg (sin b)) (sec (+ b a)))) |
(/ (* r (sin b)) (cos (+ (neg a) b))) |
(* (* r (sin b)) (sec (- b a))) |
(/ (* r (sin (neg b))) (cos (+ a (neg b)))) |
(* r (* (neg (sin b)) (sec (- b a)))) |
(neg (/ (* (neg r) (sin b)) (cos (+ a b)))) |
(* (* r (sin b)) (sec (+ b a))) |
(neg (/ (* r (sin b)) (cos (+ (neg a) b)))) |
(* r (* (neg (sin b)) (sec (- b a)))) |
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b))))) |
(* (* r (sin b)) (sec (- b a))) |
(/ (* a (sin b)) (cos (+ r b))) |
(* (* (sin b) a) (sec (+ r b))) |
(/ (* b (sin r)) (cos (+ a r))) |
(/ (* b (sin r)) (cos (+ r a))) |
(/ (* r (sin a)) (cos (+ b a))) |
(* r (* (sin a) (sec (+ b a)))) |
(negabs r)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 120 | (9.154752326257607e+111 -7.080219628638648e+294 7.706694970374197e-274) | 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) |
| 168.0ms | 360× | 1 | valid |
| 17.0ms | 152× | 0 | valid |
Compiled 70 to 26 computations (62.9% saved)
ival-sin: 53.0ms (51.6% of total)backward-pass: 17.0ms (16.5% of total)ival-cos: 16.0ms (15.6% of total)ival-mult: 7.0ms (6.8% of total)ival-add: 5.0ms (4.9% of total)ival-div: 5.0ms (4.9% of total)const: 1.0ms (1% of total)Compiled 12 to 8 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.2% | (/.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 | 99.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 80.2% | (cos.f64 (+.f64 b a)) |
| 63.0ms | 180× | 1 | valid |
| 9.0ms | 76× | 0 | valid |
Compiled 29 to 9 computations (69% saved)
ival-sin: 12.0ms (32.1% of total)ival-cos: 11.0ms (29.5% of total)ival-mult: 5.0ms (13.4% of total)backward-pass: 4.0ms (10.7% of total)ival-add: 2.0ms (5.4% of total)ival-div: 2.0ms (5.4% 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 | r | @ | inf | (/ (* r (sin b)) (cos (+ b a))) |
| 1.0ms | a | @ | 0 | (/ (* 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 | 256 | 19 |
| 3 | 2327 | 19 |
| 0 | 11290 | 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 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (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 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (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 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 1 binary64)) |
(*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (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 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 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (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 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) 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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #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 r (-.f64 #s(literal 0 binary64) (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 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
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(*.f64 r (sin.f64 b)) |
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(*.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) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) r) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (sin.f64 b)) |
(sin.f64 b) |
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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 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.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 a a) (*.f64 b (-.f64 b a)))))) |
(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 a a) (*.f64 b (-.f64 b a))))) |
(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 (*.f64 a a) (-.f64 b a))))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (neg.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))) |
(fma.f64 (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)))) |
(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 (*.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 (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 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.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 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)))) |
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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 | 853 |
| 2 | 1904 | 820 |
| 3 | 7378 | 820 |
| 0 | 8114 | 820 |
| 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 (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (*.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 r (sin.f64 a)) (/.f64 #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 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 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))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) 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 (- 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 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (*.f64 b (*.f64 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 #s(literal -1/6 binary64) (*.f64 b b)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 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 4847 to 628 computations (87% saved)
36 alts after pruning (36 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 36 | 256 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 221 | 36 | 257 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.1% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
| 53.5% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) | |
| 53.6% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) | |
| 53.4% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) | |
| 53.5% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) | |
| 99.6% | (/.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)))) | |
| ▶ | 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))))) |
| 98.8% | (/.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)))))))) | |
| 81.4% | (/.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)))))) | |
| 80.1% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) | |
| 80.1% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) | |
| 79.8% | (/.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))))) | |
| 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 61.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 56.0% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 61.0% | (/.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))))) | |
| 61.2% | (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) | |
| 54.5% | (/.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))))))) | |
| 58.7% | (/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))) | |
| 63.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 57.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 53.8% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| ▶ | 53.7% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 80.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 79.2% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 79.2% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r))) | |
| 79.2% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) | |
| ▶ | 80.0% | (*.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))) |
| 80.1% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) | |
| 80.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 80.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 80.0% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) | |
| ▶ | 80.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 80.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 80.1% | (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 37.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 1524 to 970 computations (36.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 b)) |
| ✓ | cost-diff | 256 | (*.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))) |
| ✓ | cost-diff | 6464 | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 6464 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (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 | 0 | (/.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))))) |
| ✓ | cost-diff | 6400 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
| 1368× | fnmadd-define |
| 1278× | *-lowering-*.f32 |
| 1278× | *-lowering-*.f64 |
| 1192× | fma-define |
| 1012× | div-sub |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 177 |
| 1 | 64 | 173 |
| 2 | 121 | 169 |
| 3 | 264 | 169 |
| 4 | 727 | 169 |
| 5 | 1898 | 168 |
| 6 | 3254 | 168 |
| 7 | 4768 | 168 |
| 0 | 8134 | 168 |
| 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))) |
r |
(cos (+ b a)) |
(+ b a) |
b |
a |
(sin b) |
(/ (/ 1 (cos (+ b a))) (/ (/ 1 r) (sin b))) |
(/ 1 (cos (+ b a))) |
1 |
(cos (+ b a)) |
(+ b a) |
b |
a |
(/ (/ 1 r) (sin b)) |
(/ 1 r) |
r |
(sin b) |
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1)) |
(pow (/ -1 (sin b)) -1) |
(/ -1 (sin b)) |
-1 |
(sin b) |
b |
(pow (/ (cos (+ b a)) (- 0 r)) -1) |
(/ (cos (+ b a)) (- 0 r)) |
(cos (+ b a)) |
(+ b a) |
a |
(- 0 r) |
0 |
r |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))) |
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b))) |
(* 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 -1 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 b (/.f64 (cos.f64 a) r)) |
(* 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))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
b |
a |
(sin b) |
(sin.f64 b) |
(/ (/ 1 (cos (+ b a))) (/ (/ 1 r) (sin b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ 1 (cos (+ b a))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
1 |
#s(literal 1 binary64) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
b |
a |
(/ (/ 1 r) (sin b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) |
(/ 1 r) |
(/.f64 #s(literal 1 binary64) r) |
r |
(sin b) |
(sin.f64 b) |
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(pow (/ -1 (sin b)) -1) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
-1 |
#s(literal -1 binary64) |
(sin b) |
(sin.f64 b) |
b |
(pow (/ (cos (+ b a)) (- 0 r)) -1) |
(/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) |
(/ (cos (+ b a)) (- 0 r)) |
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
a |
(- 0 r) |
(-.f64 #s(literal 0 binary64) r) |
0 |
#s(literal 0 binary64) |
r |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.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))) |
| ✓ | accuracy | 99.7% | (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) |
| ✓ | accuracy | 99.6% | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
| ✓ | accuracy | 80.2% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) |
| ✓ | accuracy | 98.6% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
| ✓ | accuracy | 80.2% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| ✓ | accuracy | 80.2% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) |
| ✓ | accuracy | 99.7% | (/.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))))) |
| 282.0ms | 178× | 1 | valid |
| 80.0ms | 78× | 0 | valid |
Compiled 204 to 32 computations (84.3% saved)
ival-pow: 28.0ms (17.7% of total)ival-cos: 27.0ms (17.1% of total)ival-div: 24.0ms (15.2% of total)ival-sin: 24.0ms (15.2% of total)backward-pass: 19.0ms (12% of total)ival-mult: 18.0ms (11.4% of total)compiled-spec: 8.0ms (5.1% of total)ival-sub: 5.0ms (3.2% of total)ival-add: 4.0ms (2.5% of total)const: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))> |
#<alt (/ (* r (sin b)) (+ (* (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 (/ r (cos (+ b a)))> |
#<alt (cos (+ b a))> |
#<alt (+ b a)> |
#<alt (/ (/ 1 (cos (+ b a))) (/ (/ 1 r) (sin b)))> |
#<alt (/ 1 (cos (+ b a)))> |
#<alt (pow (/ -1 (sin b)) -1)> |
#<alt (pow (/ (cos (+ b a)) (- 0 r)) -1)> |
#<alt (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))> |
#<alt (/ -1 (sin b))> |
#<alt (* (sin b) (- 0 (sin a)))> |
#<alt (/ (/ 1 r) (sin b))> |
#<alt (/ (cos (+ b a)) (- 0 r))> |
| Outputs |
|---|
#<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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (* r (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 (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (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 (/ 1 (cos a))> |
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))> |
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos b))> |
#<alt (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))> |
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (* -1 b)> |
#<alt (* b (- (* 1/6 (pow b 2)) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (/ r (cos a)))> |
#<alt (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos b)))> |
#<alt (+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ -1 b)> |
#<alt (/ (- (* -1/6 (pow b 2)) 1) b)> |
#<alt (/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)> |
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin 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 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* b r))> |
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)> |
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)> |
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (* -1 (/ (cos a) r))> |
#<alt (+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r))> |
#<alt (+ (* -1 (/ (cos a) r)) (* b (+ (* 1/2 (/ (* b (cos a)) r)) (/ (sin a) r))))> |
#<alt (+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) r)) (* 1/2 (/ (cos a) r)))) (/ (sin a) r))))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (- a (* -1 b))) r))> |
#<alt (* -1 (/ (cos (- a (* -1 b))) r))> |
#<alt (* -1 (/ (cos (- a (* -1 b))) r))> |
#<alt (* -1 (/ (cos (- a (* -1 b))) r))> |
#<alt (* -1 (/ (cos b) r))> |
#<alt (+ (* -1 (/ (cos b) r)) (/ (* a (sin b)) r))> |
#<alt (+ (* -1 (/ (cos b) r)) (* a (+ (* 1/2 (/ (* a (cos b)) r)) (/ (sin b) r))))> |
#<alt (+ (* -1 (/ (cos b) r)) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) r)) (* 1/2 (/ (cos b) r)))) (/ (sin b) r))))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (- b (* -1 a))) r))> |
#<alt (* -1 (/ (cos (- b (* -1 a))) r))> |
#<alt (* -1 (/ (cos (- b (* -1 a))) r))> |
#<alt (* -1 (/ (cos (- b (* -1 a))) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
#<alt (* -1 (/ (cos (+ a b)) r))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | b | @ | inf | (/ (/ 1 r) (sin b)) |
| 6.0ms | a | @ | -inf | (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))) |
| 4.0ms | a | @ | -inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))) |
| 2.0ms | b | @ | 0 | (/ (cos (+ b a)) (- 0 r)) |
| 2.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))) |
| 1× | batch-egg-rewrite |
| 3822× | /-lowering-/.f32 |
| 3822× | /-lowering-/.f64 |
| 3626× | *-lowering-*.f32 |
| 3626× | *-lowering-*.f64 |
| 1584× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 153 |
| 1 | 188 | 104 |
| 2 | 1458 | 104 |
| 0 | 8282 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))) |
(/ (* r (sin b)) (+ (* (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)) |
(/ r (cos (+ b a))) |
(cos (+ b a)) |
(+ b a) |
(/ (/ 1 (cos (+ b a))) (/ (/ 1 r) (sin b))) |
(/ 1 (cos (+ b a))) |
(pow (/ -1 (sin b)) -1) |
(pow (/ (cos (+ b a)) (- 0 r)) -1) |
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1)) |
(/ -1 (sin b)) |
(* (sin b) (- 0 (sin a))) |
(/ (/ 1 r) (sin b)) |
(/ (cos (+ b a)) (- 0 r)) |
| Outputs |
|---|
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (cos.f64 (+.f64 b a)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(-.f64 (*.f64 (cos.f64 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)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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)))) |
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(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a))) |
(/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
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(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (cos.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (sin.f64 b))) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))) |
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(/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal -1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
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(/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
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(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
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(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) |
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(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (sin.f64 b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))) |
(*.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 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) r) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) 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 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) 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 #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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.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) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
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(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 1 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 #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 #s(literal 0 binary64) r)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) r))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (/.f64 r (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) r) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 0 binary64) r)) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 b a)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) r)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (exp.f64 (log.f64 r))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) r)) (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r r)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) r) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) r)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) r))) (+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) r)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) r))) (*.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) r)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) r)))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #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) r) (cos.f64 (+.f64 b a))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r)))) (*.f64 r r)) |
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) r) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 b a)))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) r)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.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))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) r)) |
(*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) r)) |
(*.f64 (/.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 0 binary64) (*.f64 r (*.f64 r r)))) (/.f64 (/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (/.f64 #s(literal 1 binary64) (*.f64 r r)))) |
(*.f64 (/.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 0 binary64) (*.f64 r r))) (/.f64 (/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r r)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) r))) |
| 1× | egg-herbie |
| 4794× | *-lowering-*.f32 |
| 4794× | *-lowering-*.f64 |
| 1982× | +-lowering-+.f64 |
| 1982× | +-lowering-+.f32 |
| 1832× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 509 | 5812 |
| 1 | 1801 | 5251 |
| 2 | 6433 | 5215 |
| 0 | 8013 | 5215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (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)))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (* 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))) |
(/ 1 (cos a)) |
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) |
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(/ (* 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))) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(* -1 (* 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 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* b r)) |
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(* -1 (/ (cos a) r)) |
(+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r)) |
(+ (* -1 (/ (cos a) r)) (* b (+ (* 1/2 (/ (* b (cos a)) r)) (/ (sin a) r)))) |
(+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) r)) (* 1/2 (/ (cos a) r)))) (/ (sin a) r)))) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (- a (* -1 b))) r)) |
(* -1 (/ (cos (- a (* -1 b))) r)) |
(* -1 (/ (cos (- a (* -1 b))) r)) |
(* -1 (/ (cos (- a (* -1 b))) r)) |
(* -1 (/ (cos b) r)) |
(+ (* -1 (/ (cos b) r)) (/ (* a (sin b)) r)) |
(+ (* -1 (/ (cos b) r)) (* a (+ (* 1/2 (/ (* a (cos b)) r)) (/ (sin b) r)))) |
(+ (* -1 (/ (cos b) r)) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) r)) (* 1/2 (/ (cos b) r)))) (/ (sin b) r)))) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (- b (* -1 a))) r)) |
(* -1 (/ (cos (- b (* -1 a))) r)) |
(* -1 (/ (cos (- b (* -1 a))) r)) |
(* -1 (/ (cos (- b (* -1 a))) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(* -1 (/ (cos (+ a b)) r)) |
| Outputs |
|---|
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
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#s(literal 1 binary64) |
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(cos a) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* b r) (cos a)) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos b)) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
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(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
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(/ r (cos (+ a b))) |
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(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
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(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
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(/ r (cos (+ a b))) |
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(/ r (cos (+ a b))) |
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(/ r (cos (- a (* -1 b)))) |
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(/ r (cos (- a (* -1 b)))) |
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(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
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(/ r (cos (- b (* -1 a)))) |
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(cos a) |
(cos.f64 a) |
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
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(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos b) |
(cos.f64 b) |
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(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
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(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(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)) |
a |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
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 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b))))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b))))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b))))) |
b |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a 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 (/ 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 b (-.f64 #s(literal 0 binary64) a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) a)))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 b 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 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ 1 (cos a)) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
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(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
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(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos b)) |
(/.f64 #s(literal 1 binary64) (cos.f64 b)) |
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(/ 1 (cos (+ a b))) |
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(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
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(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
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(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(* -1 b) |
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(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) #s(literal -1/120 binary64)))))) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
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(* -1 (sin b)) |
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(/ 1 (* r (sin b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) |
(/ 1 (* r (sin b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) |
(/ 1 (* r (sin b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) |
(/ 1 (* r (sin b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) |
(/ 1 (* r (sin b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) |
(/ 1 (* r (sin b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) |
(* -1 (/ (cos a) r)) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 a) r)) |
(+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r)) |
(-.f64 (/.f64 (*.f64 b (sin.f64 a)) r) (/.f64 (cos.f64 a) r)) |
(+ (* -1 (/ (cos a) r)) (* b (+ (* 1/2 (/ (* b (cos a)) r)) (/ (sin a) r)))) |
(-.f64 (*.f64 b (+.f64 (/.f64 (sin.f64 a) r) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 #s(literal 1/2 binary64) b)))) (/.f64 (cos.f64 a) r)) |
(+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) r)) (* 1/2 (/ (cos a) r)))) (/ (sin a) r)))) |
(-.f64 (*.f64 b (+.f64 (/.f64 (sin.f64 a) r) (*.f64 b (+.f64 (/.f64 (*.f64 (*.f64 b (sin.f64 a)) #s(literal -1/6 binary64)) r) (/.f64 (*.f64 (cos.f64 a) #s(literal 1/2 binary64)) r))))) (/.f64 (cos.f64 a) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (- a (* -1 b))) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (- a (* -1 b))) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (- a (* -1 b))) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (- a (* -1 b))) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos b) r)) |
(/.f64 (cos.f64 b) (neg.f64 r)) |
(+ (* -1 (/ (cos b) r)) (/ (* a (sin b)) r)) |
(-.f64 (/.f64 (*.f64 a (sin.f64 b)) r) (/.f64 (cos.f64 b) r)) |
(+ (* -1 (/ (cos b) r)) (* a (+ (* 1/2 (/ (* a (cos b)) r)) (/ (sin b) r)))) |
(-.f64 (*.f64 a (+.f64 (/.f64 (sin.f64 b) r) (/.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal 1/2 binary64))) r))) (/.f64 (cos.f64 b) r)) |
(+ (* -1 (/ (cos b) r)) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) r)) (* 1/2 (/ (cos b) r)))) (/ (sin b) r)))) |
(-.f64 (*.f64 a (+.f64 (/.f64 (sin.f64 b) r) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 a (sin.f64 b)) #s(literal -1/6 binary64)) r) (/.f64 (*.f64 (cos.f64 b) #s(literal 1/2 binary64)) r))))) (/.f64 (cos.f64 b) r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (- b (* -1 a))) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (- b (* -1 a))) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (- b (* -1 a))) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (- b (* -1 a))) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(* -1 (/ (cos (+ a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
Compiled 52660 to 3632 computations (93.1% saved)
81 alts after pruning (80 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2133 | 69 | 2202 |
| Fresh | 20 | 11 | 31 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2157 | 81 | 2238 |
| Status | Accuracy | Program |
|---|---|---|
| 60.3% | (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 99.5% | (/.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))))) | |
| 80.0% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 98.5% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 61.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 73.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 79.1% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) | |
| 52.6% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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))))))))))) | |
| 52.6% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) | |
| 52.8% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b)) | |
| 53.3% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) | |
| 53.2% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b)) | |
| 52.9% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) | |
| 45.8% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 0 binary64) r))) | |
| 79.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))) | |
| ▶ | 39.6% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
| 63.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 56.8% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 50.7% | (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (/.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))))) | |
| 79.1% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 79.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) | |
| 54.7% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (sin.f64 b) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) | |
| 53.5% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) | |
| 99.6% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 63.7% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 53.6% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) | |
| 53.4% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) | |
| 53.5% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) | |
| 22.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #s(literal 0 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) | |
| 46.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) | |
| 99.1% | (/.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)))) | |
| ▶ | 99.6% | (/.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) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 46.6% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 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 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 80.1% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) | |
| 61.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 56.0% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 57.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 35.1% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))) | |
| 35.0% | (/.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))))))))) | |
| 35.2% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) | |
| 53.8% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) | |
| ✓ | 53.7% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 80.0% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 80.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 52.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) | |
| 79.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64)))) | |
| 63.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (neg.f64 r)) #s(literal -1 binary64))) | |
| 57.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) | |
| 57.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64)))) | |
| 49.2% | (*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))) | |
| 79.7% | (*.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)))) | |
| 46.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r r))) (/.f64 (sin.f64 b) r)) | |
| 49.3% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) r)) (sin.f64 b)) | |
| ▶ | 45.9% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) |
| 80.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 99.6% | (*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| 99.6% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 61.6% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (sin.f64 b)) | |
| 56.0% | (*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (sin.f64 b)) | |
| 61.0% | (*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b)) | |
| 61.2% | (*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (sin.f64 b)) | |
| 54.5% | (*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b)) | |
| 73.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 53.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) | |
| 68.4% | (*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b)) | |
| 63.7% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| ▶ | 57.8% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
| 53.7% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 27.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b)) | |
| 80.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) | |
| 80.0% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b)) | |
| 60.5% | (*.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (sin.f64 b)) | |
| 49.3% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))) (sin.f64 b)) | |
| 80.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 27.1% | (*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b)) | |
| 54.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 53.7% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| ▶ | 37.0% | (*.f64 b r) |
| 37.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
Compiled 3253 to 2118 computations (34.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) |
| ✓ | cost-diff | 512 | (*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 a)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
| ✓ | cost-diff | 0 | (*.f64 b r) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| ✓ | cost-diff | 6400 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| 1804× | *-lowering-*.f32 |
| 1804× | *-lowering-*.f64 |
| 1462× | fnmsub-define |
| 1454× | fmsub-define |
| 1344× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 187 |
| 1 | 75 | 184 |
| 2 | 146 | 181 |
| 3 | 387 | 176 |
| 4 | 1253 | 169 |
| 5 | 4173 | 169 |
| 6 | 6627 | 169 |
| 0 | 8395 | 169 |
| 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) |
(* b r) |
b |
r |
(* (/ r (cos a)) (sin b)) |
(/ r (cos a)) |
r |
(cos a) |
a |
(sin b) |
b |
(* (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) (/ -1 r)) |
(/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) |
(sin b) |
b |
(/ (cos (+ b a)) (- 0 (* r r))) |
(cos (+ b a)) |
(+ b a) |
a |
(- 0 (* r r)) |
0 |
(* r r) |
r |
(/ -1 r) |
-1 |
(/ (/ 1 (cos (+ b a))) (exp (* (log (* (sin b) r)) -1))) |
(/ 1 (cos (+ b a))) |
1 |
(cos (+ b a)) |
(+ b a) |
b |
a |
(exp (* (log (* (sin b) r)) -1)) |
(* (log (* (sin b) r)) -1) |
(log (* (sin b) r)) |
(* (sin b) r) |
(sin b) |
r |
-1 |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin 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 |
(+ (* (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) |
(* b r) |
(*.f64 r b) |
b |
r |
(* (/ r (cos a)) (sin b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
r |
(cos a) |
(cos.f64 a) |
a |
(sin b) |
(sin.f64 b) |
b |
(* (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) (/ -1 r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) |
(sin b) |
(sin.f64 b) |
b |
(/ (cos (+ b a)) (- 0 (* r r))) |
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
a |
(- 0 (* r r)) |
(-.f64 #s(literal 0 binary64) (*.f64 r r)) |
0 |
#s(literal 0 binary64) |
(* r r) |
(*.f64 r r) |
r |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
-1 |
#s(literal -1 binary64) |
(/ (/ 1 (cos (+ b a))) (exp (* (log (* (sin b) r)) -1))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ 1 (cos (+ b a))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
1 |
#s(literal 1 binary64) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
b |
a |
(exp (* (log (* (sin b) r)) -1)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) |
(* (log (* (sin b) r)) -1) |
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) |
(log (* (sin b) r)) |
(log.f64 (*.f64 r (sin.f64 b))) |
(* (sin b) r) |
(*.f64 r (sin.f64 b)) |
(sin b) |
(sin.f64 b) |
r |
-1 |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
| ✓ | accuracy | 96.2% | (log.f64 (*.f64 (sin.f64 b) r)) |
| ✓ | accuracy | 95.9% | (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) |
| ✓ | accuracy | 88.3% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 99.1% | (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) |
| ✓ | accuracy | 97.5% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) |
| ✓ | accuracy | 88.3% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 81.3% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.9% | (/.f64 r (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
| ✓ | accuracy | 100.0% | (*.f64 b r) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | accuracy | 99.9% | (*.f64 (sin.f64 b) (sin.f64 a)) |
| ✓ | accuracy | 99.9% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 129.0ms | 83× | 1 | valid |
| 70.0ms | 131× | 0 | invalid |
| 33.0ms | 42× | 0 | valid |
Compiled 204 to 33 computations (83.8% saved)
ival-mult: 24.0ms (19.9% of total)backward-pass: 23.0ms (19.1% of total)ival-cos: 19.0ms (15.8% of total)ival-sin: 17.0ms (14.1% of total)ival-div: 14.0ms (11.6% of total)ival-log: 8.0ms (6.6% of total)compiled-spec: 5.0ms (4.2% of total)ival-add: 3.0ms (2.5% of total)ival-exp: 3.0ms (2.5% of total)ival-sub: 2.0ms (1.7% of total)ival-neg: 2.0ms (1.7% of total)const: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))> |
#<alt (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))> |
#<alt (* r (sin b))> |
#<alt (sin b)> |
#<alt (* b r)> |
#<alt (* (/ r (cos a)) (sin b))> |
#<alt (/ r (cos a))> |
#<alt (cos a)> |
#<alt (* (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) (/ -1 r))> |
#<alt (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r))))> |
#<alt (/ (cos (+ b a)) (- 0 (* r r)))> |
#<alt (exp (* (log (* (sin b) r)) -1))> |
#<alt (/ (/ 1 (cos (+ b a))) (exp (* (log (* (sin b) r)) -1)))> |
#<alt (/ 1 (cos (+ b a)))> |
#<alt (cos (+ b a))> |
#<alt (* (sin b) (sin a))> |
#<alt (log (* (sin b) r))> |
| Outputs |
|---|
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (* 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)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (/ (* r (sin b)) (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 (* 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))> |
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#<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 (+ (log b) (log r))> |
#<alt (+ (log b) (+ (log r) (* -1/6 (pow b 2))))> |
#<alt (+ (log b) (+ (log r) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6))))> |
#<alt (+ (log b) (+ (log r) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6))))> |
#<alt (log (* r (sin b)))> |
#<alt (log (* r (sin b)))> |
#<alt (log (* r (sin b)))> |
#<alt (log (* r (sin b)))> |
#<alt (log (* r (sin b)))> |
#<alt (log (* r (sin b)))> |
#<alt (log (* r (sin b)))> |
#<alt (log (* r (sin b)))> |
#<alt (+ (log r) (log (sin b)))> |
#<alt (+ (log r) (log (sin b)))> |
#<alt (+ (log r) (log (sin b)))> |
#<alt (+ (log r) (log (sin b)))> |
#<alt (+ (log (sin b)) (* -1 (log (/ 1 r))))> |
#<alt (+ (log (sin b)) (* -1 (log (/ 1 r))))> |
#<alt (+ (log (sin b)) (* -1 (log (/ 1 r))))> |
#<alt (+ (log (sin b)) (* -1 (log (/ 1 r))))> |
#<alt (+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))> |
#<alt (+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))> |
#<alt (+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))> |
#<alt (+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | b | @ | inf | (log (* (sin b) r)) |
| 37.0ms | r | @ | 0 | (log (* (sin b) r)) |
| 22.0ms | r | @ | -inf | (log (* (sin b) r)) |
| 16.0ms | b | @ | -inf | (log (* (sin b) r)) |
| 6.0ms | r | @ | inf | (log (* (sin b) r)) |
| 1× | batch-egg-rewrite |
| 3656× | /-lowering-/.f32 |
| 3656× | /-lowering-/.f64 |
| 3564× | *-lowering-*.f32 |
| 3564× | *-lowering-*.f64 |
| 1850× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 102 |
| 1 | 173 | 101 |
| 2 | 1365 | 98 |
| 0 | 8219 | 98 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) |
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
(* r (sin b)) |
(sin b) |
(* b r) |
(* (/ r (cos a)) (sin b)) |
(/ r (cos a)) |
(cos a) |
(* (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) (/ -1 r)) |
(/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) |
(/ (cos (+ b a)) (- 0 (* r r))) |
(exp (* (log (* (sin b) r)) -1)) |
(/ (/ 1 (cos (+ b a))) (exp (* (log (* (sin b) r)) -1))) |
(/ 1 (cos (+ b a))) |
(cos (+ b a)) |
(* (sin b) (sin a)) |
(log (* (sin b) r)) |
| Outputs |
|---|
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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 (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 (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))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(-.f64 (*.f64 (cos.f64 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 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))) |
(-.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 (*.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))) |
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 1 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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 #s(literal 1 binary64) (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))))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 4 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 (-.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 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 (-.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.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))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (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 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(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 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 (+.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 #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) (-.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 #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 (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))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (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 #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 (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) (neg.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.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 #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 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 (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 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (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 (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 b) (-.f64 #s(literal 0 binary64) (sin.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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.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 #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 (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)) |
(/.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 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) |
(/.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) (-.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))))))) |
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(*.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) (-.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 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
(*.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) (-.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))))) #s(literal 1 binary64)) (/.f64 (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))))) (*.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 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (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)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r)) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (log.f64 (/.f64 (sin.f64 b) r))) (/.f64 (pow.f64 (log.f64 r) #s(literal 2 binary64)) (log.f64 (/.f64 (sin.f64 b) r)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 r) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 r) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 b)) (log.f64 r))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (log.f64 r) #s(literal 2 binary64))) (log.f64 (/.f64 (sin.f64 b) r))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 r) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 r) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 b)) (log.f64 r)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (log.f64 r) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (sin.f64 b) r)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 r) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 r) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (log.f64 r) (log.f64 (sin.f64 b)))))) |
| 1× | egg-herbie |
| 5332× | *-lowering-*.f32 |
| 5332× | *-lowering-*.f64 |
| 1998× | +-lowering-+.f64 |
| 1998× | +-lowering-+.f32 |
| 1606× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 5178 |
| 1 | 1846 | 4671 |
| 2 | 6762 | 4635 |
| 0 | 8039 | 4635 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)) (- (* (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)))) |
(* 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)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (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))) |
(* -1 (/ (* b (pow r 2)) (cos a))) |
(* b (+ (* -1 (/ (* b (* (pow r 2) (sin a))) (pow (cos a) 2))) (* -1 (/ (pow r 2) (cos a))))) |
(* b (+ (* -1 (/ (pow r 2) (cos a))) (* b (+ (* -1 (* b (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a))))))) (* -1 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))))))) |
(* b (+ (* -1 (/ (pow r 2) (cos a))) (* b (+ (* -1 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a)))))) (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a)))))) (cos a))) (+ (* -1/2 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* (pow r 2) (sin a)) (pow (cos a) 2)))))))))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(+ (* -1 (/ (* a (* (pow r 2) (pow (sin b) 2))) (pow (cos b) 2))) (* -1 (/ (* (pow r 2) (sin b)) (cos b)))) |
(+ (* -1 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* (pow r 2) (sin b)) (cos b)))))))) |
(+ (* -1 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (+ (* -1/2 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1/2 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* (pow r 2) (sin b)) (cos b))))) (cos b))))))))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b)))) |
(* -1 (/ (cos a) (pow r 2))) |
(+ (* -1 (/ (cos a) (pow r 2))) (/ (* b (sin a)) (pow r 2))) |
(+ (* -1 (/ (cos a) (pow r 2))) (* b (+ (* 1/2 (/ (* b (cos a)) (pow r 2))) (/ (sin a) (pow r 2))))) |
(+ (* -1 (/ (cos a) (pow r 2))) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) (pow r 2))) (* 1/2 (/ (cos a) (pow r 2))))) (/ (sin a) (pow r 2))))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (- a (* -1 b))) (pow r 2))) |
(* -1 (/ (cos (- a (* -1 b))) (pow r 2))) |
(* -1 (/ (cos (- a (* -1 b))) (pow r 2))) |
(* -1 (/ (cos (- a (* -1 b))) (pow r 2))) |
(* -1 (/ (cos b) (pow r 2))) |
(+ (* -1 (/ (cos b) (pow r 2))) (/ (* a (sin b)) (pow r 2))) |
(+ (* -1 (/ (cos b) (pow r 2))) (* a (+ (* 1/2 (/ (* a (cos b)) (pow r 2))) (/ (sin b) (pow r 2))))) |
(+ (* -1 (/ (cos b) (pow r 2))) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) (pow r 2))) (* 1/2 (/ (cos b) (pow r 2))))) (/ (sin b) (pow r 2))))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (- b (* -1 a))) (pow r 2))) |
(* -1 (/ (cos (- b (* -1 a))) (pow r 2))) |
(* -1 (/ (cos (- b (* -1 a))) (pow r 2))) |
(* -1 (/ (cos (- b (* -1 a))) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(* -1 (/ (cos (+ a b)) (pow r 2))) |
(/ 1 (* b r)) |
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ 1 (cos a)) |
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) |
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(* 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)) |
(+ (log b) (log r)) |
(+ (log b) (+ (log r) (* -1/6 (pow b 2)))) |
(+ (log b) (+ (log r) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6)))) |
(+ (log b) (+ (log r) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6)))) |
(log (* r (sin b))) |
(log (* r (sin b))) |
(log (* r (sin b))) |
(log (* r (sin b))) |
(log (* r (sin b))) |
(log (* r (sin b))) |
(log (* r (sin b))) |
(log (* r (sin b))) |
(+ (log r) (log (sin b))) |
(+ (log r) (log (sin b))) |
(+ (log r) (log (sin b))) |
(+ (log r) (log (sin b))) |
(+ (log (sin b)) (* -1 (log (/ 1 r)))) |
(+ (log (sin b)) (* -1 (log (/ 1 r)))) |
(+ (log (sin b)) (* -1 (log (/ 1 r)))) |
(+ (log (sin b)) (* -1 (log (/ 1 r)))) |
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r)))) |
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r)))) |
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r)))) |
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r)))) |
| Outputs |
|---|
(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 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (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 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64))))) (sin.f64 a)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (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 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (sin.f64 b))))) (sin.f64 b)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* 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 b (*.f64 (sin.f64 a) r)) (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 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
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(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos b)) |
(/.f64 #s(literal 1 binary64) (cos.f64 b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (*.f64 a (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a 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 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (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 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64))))) (sin.f64 a)))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (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 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (sin.f64 b))))) (sin.f64 b)))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(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)) |
(* 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 b (*.f64 b #s(literal -1/5040 binary64))))) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* a (sin b)) |
(*.f64 a (sin.f64 b)) |
(* 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 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) #s(literal 1/120 binary64)))))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(+ (log b) (log r)) |
(+.f64 (log.f64 b) (log.f64 r)) |
(+ (log b) (+ (log r) (* -1/6 (pow b 2)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (+.f64 (log.f64 b) (log.f64 r))) |
(+ (log b) (+ (log r) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6)))) |
(+.f64 (log.f64 r) (+.f64 (log.f64 b) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal -1/180 binary64))))))) |
(+ (log b) (+ (log r) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6)))) |
(+.f64 (log.f64 r) (+.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 b b) #s(literal -1/2835 binary64))) b) b))) (log.f64 b))) |
(log (* r (sin b))) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(log (* r (sin b))) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(log (* r (sin b))) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(log (* r (sin b))) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(log (* r (sin b))) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(log (* r (sin b))) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(log (* r (sin b))) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(log (* r (sin b))) |
(log.f64 (*.f64 (sin.f64 b) r)) |
(+ (log r) (log (sin b))) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(+ (log r) (log (sin b))) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(+ (log r) (log (sin b))) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(+ (log r) (log (sin b))) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(+ (log (sin b)) (* -1 (log (/ 1 r)))) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(+ (log (sin b)) (* -1 (log (/ 1 r)))) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(+ (log (sin b)) (* -1 (log (/ 1 r)))) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(+ (log (sin b)) (* -1 (log (/ 1 r)))) |
(+.f64 (log.f64 r) (log.f64 (sin.f64 b))) |
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 #s(literal -1 binary64) r))) |
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 #s(literal -1 binary64) r))) |
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 #s(literal -1 binary64) r))) |
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 #s(literal -1 binary64) r))) |
Compiled 38181 to 3059 computations (92% saved)
90 alts after pruning (86 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1435 | 27 | 1462 |
| Fresh | 16 | 59 | 75 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1453 | 90 | 1543 |
| Status | Accuracy | Program |
|---|---|---|
| 60.3% | (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 45.9% | (/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r r))) r) | |
| 99.5% | (/.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))))) | |
| 80.0% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 98.5% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 61.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 73.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| ▶ | 28.5% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
| 79.1% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) | |
| 52.6% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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))))))))))) | |
| 52.6% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) | |
| 52.8% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b)) | |
| 53.3% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) | |
| 52.9% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) | |
| 79.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))) | |
| 63.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 33.1% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) | |
| 30.7% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) | |
| 53.8% | (/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 99.4% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 50.7% | (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (/.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))))) | |
| 79.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) | |
| 53.5% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) | |
| ▶ | 99.6% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 63.7% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 57.8% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) | |
| 53.6% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) | |
| 53.4% | (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) | |
| 46.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) | |
| 99.1% | (/.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)))) | |
| ✓ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 65.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 98.9% | (/.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) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 46.6% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 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 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 80.1% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) | |
| 61.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 56.0% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 35.1% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))) | |
| 35.0% | (/.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))))))))) | |
| ▶ | 35.2% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
| ✓ | 53.7% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 80.0% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 80.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 52.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) | |
| 79.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64)))) | |
| 63.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (neg.f64 r)) #s(literal -1 binary64))) | |
| 57.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64)))) | |
| 49.2% | (*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))) | |
| 79.7% | (*.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)))) | |
| 45.8% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 r r)))) | |
| ▶ | 43.0% | (*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)) |
| 22.6% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r)) | |
| 53.8% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) | |
| 35.4% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) | |
| 47.7% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r)) | |
| 46.3% | (*.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal -1 binary64) r)) | |
| 19.8% | (*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r)) | |
| 80.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 99.6% | (*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| 99.6% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 61.6% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (sin.f64 b)) | |
| 61.0% | (*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b)) | |
| 61.2% | (*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (sin.f64 b)) | |
| 54.5% | (*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b)) | |
| 37.9% | (*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b)) | |
| 73.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 53.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) | |
| 68.4% | (*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b)) | |
| ▶ | 63.7% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
| 53.6% | (*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) | |
| ✓ | 57.8% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
| 53.7% | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| 53.7% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 27.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b)) | |
| 80.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) | |
| 57.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b)) | |
| 80.0% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b)) | |
| 79.2% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))) | |
| 33.6% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r)) | |
| 60.5% | (*.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (sin.f64 b)) | |
| 80.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 27.1% | (*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b)) | |
| 57.7% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 41.6% | (*.f64 (sin.f64 b) r) | |
| 21.8% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r)) | |
| 44.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 57.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| ✓ | 37.0% | (*.f64 b r) |
| 37.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
Compiled 3464 to 2275 computations (34.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 b) r) |
| ✓ | cost-diff | 0 | (*.f64 r (*.f64 (sin.f64 b) r)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) |
| ✓ | cost-diff | 512 | (*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (cos.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 b)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 b) r) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 1494× | fma-lowering-fma.f32 |
| 1494× | fma-lowering-fma.f64 |
| 1458× | fma-define |
| 1308× | fnmadd-define |
| 1282× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 187 |
| 1 | 85 | 180 |
| 2 | 201 | 180 |
| 3 | 565 | 180 |
| 4 | 1820 | 180 |
| 5 | 3811 | 180 |
| 6 | 5762 | 180 |
| 0 | 8150 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* (sin b) r) |
(sin b) |
b |
r |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(* (cos a) (cos b)) |
(cos a) |
a |
(cos b) |
(* (sin a) (sin b)) |
(sin a) |
(/ (* r b) (+ 1 (* a (* a -1/2)))) |
(* r b) |
r |
b |
(+ 1 (* a (* a -1/2))) |
1 |
(* a (* a -1/2)) |
a |
(* a -1/2) |
-1/2 |
(* (/ r (cos b)) (sin b)) |
(/ r (cos b)) |
r |
(cos b) |
b |
(sin b) |
(* (/ (* r (* (sin b) r)) (* -1 (cos b))) (/ -1 r)) |
(/ (* r (* (sin b) r)) (* -1 (cos b))) |
(* r (* (sin b) r)) |
r |
(* (sin b) r) |
(sin b) |
b |
(* -1 (cos b)) |
-1 |
(cos b) |
(/ -1 r) |
(/ (/ 1 (cos (+ b a))) (pow (* (* (sin b) r) (* (sin b) r)) -1/2)) |
(/ 1 (cos (+ b a))) |
1 |
(cos (+ b a)) |
(+ b a) |
b |
a |
(pow (* (* (sin b) r) (* (sin b) r)) -1/2) |
(* (* (sin b) r) (* (sin b) r)) |
(* (sin b) r) |
(sin b) |
r |
-1/2 |
| Outputs |
|---|
(/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* (sin b) r) |
(*.f64 (sin.f64 b) r) |
(sin b) |
(sin.f64 b) |
b |
r |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
a |
(cos b) |
(cos.f64 b) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin a) |
(sin.f64 a) |
(/ (* r b) (+ 1 (* a (* a -1/2)))) |
(/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(* r b) |
(*.f64 b r) |
r |
b |
(+ 1 (* a (* a -1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* a (* a -1/2)) |
(*.f64 a (*.f64 a #s(literal -1/2 binary64))) |
a |
(* a -1/2) |
(*.f64 a #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (/ r (cos b)) (sin b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
r |
(cos b) |
(cos.f64 b) |
b |
(sin b) |
(sin.f64 b) |
(* (/ (* r (* (sin b) r)) (* -1 (cos b))) (/ -1 r)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/ (* r (* (sin b) r)) (* -1 (cos b))) |
(/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (-.f64 #s(literal 0 binary64) (cos.f64 b))) |
(* r (* (sin b) r)) |
(*.f64 r (*.f64 (sin.f64 b) r)) |
r |
(* (sin b) r) |
(*.f64 (sin.f64 b) r) |
(sin b) |
(sin.f64 b) |
b |
(* -1 (cos b)) |
(-.f64 #s(literal 0 binary64) (cos.f64 b)) |
-1 |
#s(literal -1 binary64) |
(cos b) |
(cos.f64 b) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ (/ 1 (cos (+ b a))) (pow (* (* (sin b) r) (* (sin b) r)) -1/2)) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (pow.f64 (*.f64 (sin.f64 b) (*.f64 r (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)))) |
(/ 1 (cos (+ b a))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
1 |
#s(literal 1 binary64) |
(cos (+ b a)) |
(cos.f64 (+.f64 b a)) |
(+ b a) |
(+.f64 b a) |
b |
a |
(pow (* (* (sin b) r) (* (sin b) r)) -1/2) |
(pow.f64 (*.f64 (sin.f64 b) (*.f64 r (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) |
(* (* (sin b) r) (* (sin b) r)) |
(*.f64 (sin.f64 b) (*.f64 r (*.f64 (sin.f64 b) r))) |
(* (sin b) r) |
(*.f64 (sin.f64 b) r) |
(sin b) |
(sin.f64 b) |
r |
-1/2 |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) |
| ✓ | accuracy | 98.6% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 80.2% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 57.5% | (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) |
| ✓ | accuracy | 99.8% | (*.f64 r (*.f64 (sin.f64 b) r)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) r) |
| ✓ | accuracy | 62.0% | (*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 100.0% | (cos.f64 b) |
| ✓ | accuracy | 99.8% | (/.f64 r (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
| ✓ | accuracy | 100.0% | (*.f64 a (*.f64 a #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 93.7% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) r) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 a) (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 252.0ms | 180× | 1 | valid |
| 57.0ms | 76× | 0 | valid |
Compiled 219 to 34 computations (84.5% saved)
ival-mult: 44.0ms (29.6% of total)ival-cos: 27.0ms (18.2% of total)ival-sin: 23.0ms (15.5% of total)ival-div: 21.0ms (14.1% of total)backward-pass: 16.0ms (10.8% of total)ival-pow: 10.0ms (6.7% of total)ival-add: 4.0ms (2.7% of total)ival-sub: 2.0ms (1.3% of total)const: 1.0ms (0.7% of total)| Inputs |
|---|
#<alt (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (* (sin b) r)> |
#<alt (sin b)> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (/ (* r b) (+ 1 (* a (* a -1/2))))> |
#<alt (* r b)> |
#<alt (+ 1 (* a (* a -1/2)))> |
#<alt (* a (* a -1/2))> |
#<alt (* (/ r (cos b)) (sin b))> |
#<alt (/ r (cos b))> |
#<alt (cos b)> |
#<alt (* (/ (* r (* (sin b) r)) (* -1 (cos b))) (/ -1 r))> |
#<alt (/ (* r (* (sin b) r)) (* -1 (cos b)))> |
#<alt (* r (* (sin b) r))> |
#<alt (/ (/ 1 (cos (+ b a))) (pow (* (* (sin b) r) (* (sin b) r)) -1/2))> |
#<alt (/ 1 (cos (+ b a)))> |
#<alt (cos (+ b a))> |
#<alt (+ b a)> |
#<alt (* (sin a) (sin b))> |
#<alt (* a -1/2)> |
#<alt (pow (* (* (sin b) r) (* (sin b) r)) -1/2)> |
#<alt (* (* (sin b) r) (* (sin b) r))> |
| Outputs |
|---|
#<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 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 (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (* b 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 (* 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> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (/ (* 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 b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))> |
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))> |
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt r> |
#<alt (+ r (* 1/2 (* (pow b 2) r)))> |
#<alt (+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))> |
#<alt (+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt (/ r (cos b))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))> |
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))> |
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))> |
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (* b (pow r 2)))> |
#<alt (* b (+ (* -1 (* (pow b 2) (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))) (* -1 (pow r 2))))> |
#<alt (* b (+ (* -1 (pow r 2)) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2)))))) (* -1 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))))))> |
#<alt (* b (+ (* -1 (pow r 2)) (* (pow b 2) (+ (* -1 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* -1/5040 (pow r 2)) (+ (* -1/2 (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2))))) (+ (* -1/720 (pow r 2)) (* 1/24 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))))))) (* -1 (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2)))))))))))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* b (pow r 2))> |
#<alt (* b (+ (* -1/6 (* (pow b 2) (pow r 2))) (pow r 2)))> |
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (pow r 2)) (* 1/120 (* (pow b 2) (pow r 2))))) (pow r 2)))> |
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (pow r 2)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (pow r 2))) (* 1/120 (pow r 2)))))) (pow r 2)))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (* (pow r 2) (sin b))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))> |
#<alt (/ 1 (cos a))> |
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))> |
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos b))> |
#<alt (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))> |
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<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 (* 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 (* 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 (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (/ 1 (* b r))> |
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)> |
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)> |
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ -1 (* r (sin b)))> |
#<alt (/ -1 (* r (sin b)))> |
#<alt (/ -1 (* r (sin b)))> |
#<alt (/ -1 (* r (sin b)))> |
#<alt (* (pow b 2) (pow r 2))> |
#<alt (* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2)))> |
#<alt (* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2)))> |
#<alt (* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2)))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
#<alt (* (pow r 2) (pow (sin b) 2))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | -inf | (/ r (cos b)) |
| 2.0ms | b | @ | 0 | (/ r (cos b)) |
| 1.0ms | r | @ | 0 | (/ (* r b) (+ 1 (* a (* a -1/2)))) |
| 1.0ms | b | @ | -inf | (/ (* r (* (sin b) r)) (* -1 (cos b))) |
| 1.0ms | b | @ | 0 | (/ (* r (* (sin b) r)) (* -1 (cos b))) |
| 1× | batch-egg-rewrite |
| 4078× | *-lowering-*.f32 |
| 4078× | *-lowering-*.f64 |
| 3728× | /-lowering-/.f32 |
| 3728× | /-lowering-/.f64 |
| 1560× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 121 |
| 1 | 204 | 113 |
| 2 | 1489 | 104 |
| 0 | 8230 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* (sin b) r) |
(sin b) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(/ (* r b) (+ 1 (* a (* a -1/2)))) |
(* r b) |
(+ 1 (* a (* a -1/2))) |
(* a (* a -1/2)) |
(* (/ r (cos b)) (sin b)) |
(/ r (cos b)) |
(cos b) |
(* (/ (* r (* (sin b) r)) (* -1 (cos b))) (/ -1 r)) |
(/ (* r (* (sin b) r)) (* -1 (cos b))) |
(* r (* (sin b) r)) |
(/ (/ 1 (cos (+ b a))) (pow (* (* (sin b) r) (* (sin b) r)) -1/2)) |
(/ 1 (cos (+ b a))) |
(cos (+ b a)) |
(+ b a) |
(* (sin a) (sin b)) |
(* a -1/2) |
(pow (* (* (sin b) r) (* (sin b) r)) -1/2) |
(* (* (sin b) r) (* (sin b) r)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r))))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r))))) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r)))))) |
(-.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))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (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 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (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 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))))) |
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.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 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 (sin.f64 b) r) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) |
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(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(sin.f64 b) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (+.f64 b a))) |
(+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(+.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (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))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.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 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.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)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) #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))))) (cos.f64 (-.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.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) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))) |
(-.f64 (/.f64 (*.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 binary64) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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) (cos.f64 (-.f64 a b))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (-.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 (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)))))) |
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (cos.f64 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 (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 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(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)))) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #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 a b))) #s(literal 1/2 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
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(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (+.f64 (+.f64 (*.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 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (+.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (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 a) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 r #s(literal -1/2 binary64)) (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (*.f64 r r)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 r #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r)))) |
(pow.f64 (*.f64 (sin.f64 b) r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (sin.f64 b) r))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) #s(literal 2 binary64)) |
(*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r))) |
(*.f64 r (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) |
(*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) |
(*.f64 (*.f64 (sin.f64 b) (*.f64 r r)) (sin.f64 b)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)) |
(*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) |
(*.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) r) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) r) |
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 b))) (exp.f64 (log.f64 (*.f64 (sin.f64 b) (*.f64 r r))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 b)))) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 r)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (exp.f64 (log.f64 r))) |
| 1× | egg-herbie |
| 5216× | *-lowering-*.f32 |
| 5216× | *-lowering-*.f64 |
| 1950× | +-lowering-+.f64 |
| 1950× | +-lowering-+.f32 |
| 1838× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 4951 |
| 1 | 1768 | 4380 |
| 2 | 6484 | 4331 |
| 0 | 8233 | 4331 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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 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)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(/ (* b r) (+ 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 b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(* b r) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
r |
(+ r (* 1/2 (* (pow b 2) r))) |
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
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)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(* b r) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (* b (pow r 2))) |
(* b (+ (* -1 (* (pow b 2) (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))) (* -1 (pow r 2)))) |
(* b (+ (* -1 (pow r 2)) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2)))))) (* -1 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))))))) |
(* b (+ (* -1 (pow r 2)) (* (pow b 2) (+ (* -1 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* -1/5040 (pow r 2)) (+ (* -1/2 (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2))))) (+ (* -1/720 (pow r 2)) (* 1/24 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))))))) (* -1 (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2))))))))))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* -1 (/ (* (pow r 2) (sin b)) (cos b))) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* b (pow r 2)) |
(* b (+ (* -1/6 (* (pow b 2) (pow r 2))) (pow r 2))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (pow r 2)) (* 1/120 (* (pow b 2) (pow r 2))))) (pow r 2))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (pow r 2)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (pow r 2))) (* 1/120 (pow r 2)))))) (pow r 2))) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(* (pow r 2) (sin b)) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(/ 1 (cos a)) |
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) |
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* 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)) |
(* 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)) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(/ 1 (* b r)) |
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ -1 (* r (sin b))) |
(/ -1 (* r (sin b))) |
(/ -1 (* r (sin b))) |
(/ -1 (* r (sin b))) |
(* (pow b 2) (pow r 2)) |
(* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2))) |
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2))) |
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2))) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
(* (pow r 2) (pow (sin b) 2)) |
| Outputs |
|---|
(/ (* 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 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 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)))))) (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* 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 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (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))) |
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (*.f64 a (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* 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 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos a) |
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
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(/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
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(/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
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(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
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(/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
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(*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* 1/4 (* (pow a 2) (* b r))) (* -1/2 (* b r))))) |
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1 |
#s(literal 1 binary64) |
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r))))) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (*.f64 b (+.f64 (/.f64 #s(literal 1/6 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 31/15120 binary64)) r) (/.f64 #s(literal 7/360 binary64) r))))))) b) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ 1 (* r (sin b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/ -1 (* r (sin b))) |
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) |
(/ -1 (* r (sin b))) |
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) |
(/ -1 (* r (sin b))) |
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) |
(/ -1 (* r (sin b))) |
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) |
(* (pow b 2) (pow r 2)) |
(*.f64 b (*.f64 b (*.f64 r r))) |
(* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2))) |
(*.f64 (*.f64 b b) (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 r r))) |
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2))) |
(*.f64 (*.f64 b b) (+.f64 (*.f64 r r) (*.f64 (*.f64 b b) (*.f64 (*.f64 r r) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal 2/45 binary64))))))) |
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2))) |
(*.f64 (*.f64 b b) (+.f64 (*.f64 r r) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/315 binary64)) #s(literal 2/45 binary64)))))))) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow (sin b) 2)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r)) |
Compiled 40162 to 3239 computations (91.9% saved)
110 alts after pruning (105 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1898 | 56 | 1954 |
| Fresh | 32 | 49 | 81 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1934 | 110 | 2044 |
| Status | Accuracy | Program |
|---|---|---|
| 53.8% | (/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 99.5% | (/.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))))) | |
| 80.0% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 98.5% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 61.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 19.7% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) | |
| 73.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) | |
| 79.1% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) | |
| 53.3% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) | |
| 52.9% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) | |
| 14.3% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) | |
| 26.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64)))) | |
| 79.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))) | |
| 25.5% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) | |
| 25.1% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) | |
| 30.7% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) | |
| 37.8% | (/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) | |
| 36.9% | (/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 48.4% | (/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 50.7% | (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (/.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))))) | |
| 11.0% | (/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) | |
| 80.1% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) | |
| 54.7% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 54.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 54.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 55.5% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))))) | |
| 55.8% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.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)))))))))) | |
| 57.8% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))) | |
| ✓ | 99.6% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 63.0% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b))))) | |
| 67.8% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (sin.f64 b)))) | |
| 58.9% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 61.7% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) | |
| 56.0% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 63.7% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 57.8% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) | |
| 46.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) | |
| 99.1% | (/.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)))) | |
| ✓ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 65.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 32.8% | (/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) | |
| 35.1% | (/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))) | |
| 35.0% | (/.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))))))))) | |
| 32.8% | (/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) | |
| ✓ | 53.7% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 14.3% | (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) | |
| 63.6% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) | |
| 80.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 52.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) | |
| 34.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) | |
| 43.1% | (/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64))))) | |
| 37.8% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r)) | |
| 57.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64)))) | |
| 49.2% | (*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))) | |
| 63.6% | (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 r (cos.f64 b)) r)) | |
| 63.1% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 b) r)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))) | |
| 63.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) r))) | |
| 45.8% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 r r)))) | |
| 43.0% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 b)) (*.f64 r (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))))) | |
| 32.7% | (*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) | |
| 19.0% | (*.f64 (/.f64 (*.f64 r (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)))) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)) | |
| 32.8% | (*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) | |
| 30.5% | (*.f64 (/.f64 (*.f64 b r) (+.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 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| 22.6% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r)) | |
| 53.8% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) | |
| 35.4% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) | |
| 47.7% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r)) | |
| 46.3% | (*.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal -1 binary64) r)) | |
| 19.8% | (*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r)) | |
| 99.6% | (*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| 99.6% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 61.6% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (sin.f64 b)) | |
| 61.0% | (*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b)) | |
| 73.9% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 68.4% | (*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b)) | |
| ✓ | 57.8% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
| 53.7% | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| 63.6% | (*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 b) r))) | |
| 63.7% | (*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r))) | |
| 32.7% | (*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) | |
| 35.2% | (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) | |
| 53.7% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 27.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b)) | |
| 57.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b)) | |
| 37.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r)) | |
| 35.2% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) | |
| 80.0% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b)) | |
| 37.9% | (*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) | |
| 33.6% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r)) | |
| 60.5% | (*.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (sin.f64 b)) | |
| 63.7% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b))) | |
| 36.9% | (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b)) | |
| 27.1% | (*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b)) | |
| 57.7% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 23.9% | (*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) | |
| 25.5% | (*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) | |
| 63.7% | (*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| 41.6% | (*.f64 (sin.f64 b) r) | |
| 21.8% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r)) | |
| 44.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 57.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 63.6% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) | |
| 63.7% | (*.f64 r (tan.f64 b)) | |
| 35.2% | (*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) | |
| 36.6% | (*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) | |
| 36.6% | (*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) | |
| 36.6% | (*.f64 b (+.f64 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) | |
| ✓ | 37.0% | (*.f64 b r) |
| 37.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
Compiled 5706 to 2243 computations (60.7% saved)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) |
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r)) |
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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))))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
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(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.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)))) |
(/.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))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (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 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (/.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))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.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) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 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 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.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)))))) |
(/.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)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #s(literal 0 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) |
| 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:
| 55.0ms | a |
| 52.0ms | b |
| 51.0ms | r |
| 50.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | r |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) |
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r)) |
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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))))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 b) r))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) |
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r r))) r) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 b)) (*.f64 r (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 r (cos.f64 b)) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) r)) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 r r)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 b) r)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r r))) (/.f64 (sin.f64 b) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 0 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (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) r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 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 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(*.f64 (/.f64 (*.f64 r (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)))) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) 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 (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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b)) |
(*.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 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 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b)) |
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (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))) (*.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 (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))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.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)))))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))))) |
(/.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 (/.f64 r (-.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)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r)) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
4 calls:
| 47.0ms | b |
| 46.0ms | r |
| 45.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 44.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | r |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
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(*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b)) |
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (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))) (*.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 (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))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.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)))))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))))) |
(/.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 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
4 calls:
| 58.0ms | b |
| 53.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 44.0ms | a |
| 44.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | r |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) |
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r)) |
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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))))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 b) r))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) |
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r r))) r) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 b)) (*.f64 r (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 r (cos.f64 b)) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) r)) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 r r)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 b) r)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r r))) (/.f64 (sin.f64 b) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 0 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (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) r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 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 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(*.f64 (/.f64 (*.f64 r (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)))) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) 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 (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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b)) |
(*.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 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 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b)) |
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (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))) (*.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 (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))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.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)))))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))))) |
(/.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)) (cos.f64 (+.f64 a b))) |
4 calls:
| 55.0ms | r |
| 46.0ms | b |
| 43.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 41.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 1 | r |
| 80.2% | 1 | a |
| 80.2% | 1 | b |
| 80.2% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) |
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r)) |
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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))))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
3 calls:
| 26.0ms | r |
| 23.0ms | b |
| 18.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 1 | r |
| 80.2% | 1 | a |
| 80.2% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) |
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r)) |
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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))))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
3 calls:
| 18.0ms | r |
| 18.0ms | b |
| 16.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | r |
| 80.4% | 3 | a |
| 80.5% | 3 | b |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) |
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r)) |
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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))))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (tan.f64 b)) |
1 calls:
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) |
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
2 calls:
| 8.0ms | a |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | a |
| 63.7% | 1 | b |
Compiled 8 to 6 computations (25% saved)
Total -20.3b remaining (-50.2%)
Threshold costs -20.3b (-50.2%)
| Inputs |
|---|
(*.f64 b r) |
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a)) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64)))) |
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r))) |
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))))) |
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 b r) (+.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 (*.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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))))))) |
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r)) |
| Outputs |
|---|
(*.f64 b r) |
3 calls:
| 18.0ms | b |
| 6.0ms | r |
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.0% | 1 | b |
| 37.0% | 1 | r |
| 37.0% | 1 | a |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 2.112200590445549e-12 | 6.812616280624113e-9 |
| 23.0ms | -0.5906935306990849 | -2.1257389175862412e-10 |
| 41.0ms | 113× | 1 | valid |
| 13.0ms | 159× | 0 | valid |
Compiled 348 to 250 computations (28.2% saved)
ival-cos: 6.0ms (28.8% of total)ival-sin: 5.0ms (24% of total)ival-mult: 3.0ms (14.4% of total)ival-add: 2.0ms (9.6% of total)ival-div: 2.0ms (9.6% of total)backward-pass: 2.0ms (9.6% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 2.112200590445549e-12 | 6.812616280624113e-9 |
| 23.0ms | -0.5906935306990849 | -2.1257389175862412e-10 |
| 35.0ms | 107× | 1 | valid |
| 13.0ms | 165× | 0 | valid |
Compiled 324 to 234 computations (27.8% saved)
ival-mult: 18.0ms (51.6% of total)ival-cos: 6.0ms (17.2% of total)ival-sin: 5.0ms (14.3% of total)ival-add: 2.0ms (5.7% of total)ival-div: 2.0ms (5.7% of total)backward-pass: 2.0ms (5.7% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 117 |
| 1 | 62 | 117 |
| 2 | 73 | 117 |
| 3 | 78 | 117 |
| 4 | 80 | 117 |
| 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 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -4722366482869645/2361183241434822606848 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 4110347786689739/604462909807314587353088 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) |
(if (<=.f64 b #s(literal -2597301565578305/2361183241434822606848 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 4110347786689739/604462909807314587353088 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b)))) |
(*.f64 r (tan.f64 b)) |
(*.f64 b r) |
| 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 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(if (<=.f64 b #s(literal -4722366482869645/2361183241434822606848 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 4110347786689739/604462909807314587353088 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) |
(if (<=.f64 b #s(literal -2597301565578305/2361183241434822606848 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 4110347786689739/604462909807314587353088 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b)))) |
(*.f64 r (tan.f64 b)) |
(*.f64 b r) |
(*.f64 r b) |
| 6648× | *-lowering-*.f32 |
| 6648× | *-lowering-*.f64 |
| 4794× | *-lowering-*.f32 |
| 4794× | *-lowering-*.f64 |
| 4078× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 153 |
| 1 | 188 | 104 |
| 2 | 1458 | 104 |
| 0 | 8282 | 104 |
| 0 | 33 | 121 |
| 1 | 204 | 113 |
| 2 | 1489 | 104 |
| 0 | 8230 | 104 |
| 0 | 8 | 19 |
| 1 | 39 | 19 |
| 2 | 256 | 19 |
| 3 | 2327 | 19 |
| 0 | 11290 | 19 |
| 0 | 167 | 937 |
| 1 | 557 | 853 |
| 2 | 1904 | 820 |
| 3 | 7378 | 820 |
| 0 | 8114 | 820 |
| 0 | 8 | 9 |
| 1 | 12 | 9 |
| 2 | 15 | 9 |
| 3 | 16 | 9 |
| 0 | 16 | 9 |
| 0 | 509 | 5812 |
| 1 | 1801 | 5251 |
| 2 | 6433 | 5215 |
| 0 | 8013 | 5215 |
| 1× | fuel |
| 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 505 to 294 computations (41.8% saved)
(negabs r)
Compiled 512 to 252 computations (50.8% saved)
Loading profile data...