
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.1s | 5 885× | 1 | valid |
| 168.0ms | 2 371× | 0 | valid |
ival-cos: 270.0ms (27.1% of total)ival-sin: 251.0ms (25.2% of total)ival-mult: 142.0ms (14.2% of total)adjust: 134.0ms (13.4% of total)ival-div: 96.0ms (9.6% of total)ival-add: 94.0ms (9.4% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 89 | 105 | (-2.021092756624715e+135 2.6157428911196876e+134 9.181749100902302e-244) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 r (sin.f64 b)) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 194 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 89 | 0 |
| - | 105 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 89 | 0 | 0 |
| - | 105 | 1 | 61 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 61.0ms | 372× | 1 | valid |
| 10.0ms | 140× | 0 | valid |
Compiled 63 to 28 computations (55.6% saved)
ival-cos: 16.0ms (32.9% of total)ival-sin: 12.0ms (24.7% of total)adjust: 7.0ms (14.4% of total)ival-add: 5.0ms (10.3% of total)ival-div: 4.0ms (8.2% of total)ival-mult: 4.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 90 |
| 1 | 101 | 88 |
| 2 | 250 | 88 |
| 3 | 571 | 88 |
| 4 | 1004 | 88 |
| 5 | 1989 | 88 |
| 6 | 4002 | 88 |
| 7 | 7383 | 88 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 42 | 9 |
| 3 | 64 | 9 |
| 4 | 76 | 9 |
| 5 | 78 | 9 |
| 6 | 92 | 9 |
| 7 | 125 | 9 |
| 8 | 230 | 9 |
| 9 | 570 | 9 |
| 10 | 1511 | 9 |
| 11 | 3327 | 9 |
| 12 | 6752 | 9 |
| 0 | 8024 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 24 | 25 |
| 2 | 42 | 25 |
| 3 | 64 | 25 |
| 4 | 76 | 25 |
| 5 | 78 | 25 |
| 6 | 92 | 25 |
| 7 | 125 | 25 |
| 8 | 230 | 25 |
| 9 | 570 | 25 |
| 10 | 1511 | 25 |
| 11 | 3327 | 25 |
| 12 | 6752 | 25 |
| 0 | 8024 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 b) | |
| accuracy | 0.09375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 18.840218118729904 | (cos.f64 (+.f64 a b)) |
| 53.0ms | 186× | 1 | valid |
| 5.0ms | 70× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
adjust: 21.0ms (44.7% of total)ival-add: 8.0ms (17% of total)ival-cos: 8.0ms (17% of total)ival-sin: 6.0ms (12.8% of total)ival-div: 2.0ms (4.3% of total)ival-mult: 2.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (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))) |
(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)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (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)))) |
(* 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))))))) |
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)))) |
(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)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | r | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | b | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 593 |
| 1 | 569 | 562 |
| 2 | 2016 | 518 |
| 3 | 7405 | 515 |
| 0 | 9145 | 482 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (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))) |
(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)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (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)))) |
(* 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))))))) |
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)))) |
(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)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) r)) (cos.f64 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))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 a) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (cos.f64 b))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))) (sin.f64 b))) (cos.f64 b)) (neg.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a)) a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b) |
(* 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 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(* 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 (fma.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) r)) (cos.f64 a))) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(* b r) |
(*.f64 b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64))) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) b (cos.f64 a)) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 46 | 19 |
| 2 | 266 | 19 |
| 3 | 2853 | 19 |
| 0 | 8286 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (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 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) |
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) |
(sin.f64 b) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (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 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (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 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(fma.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(fma.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))))) |
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) |
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (PI.f64))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(-.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b))))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 a b))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (sin.f64 a))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (neg.f64 (neg.f64 (sin.f64 b))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (+.f64 a b))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (-.f64 b (neg.f64 a))) |
(cos.f64 (-.f64 (neg.f64 a) b)) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
Compiled 4 641 to 744 computations (84% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 24 | 182 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 159 | 24 | 183 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 70.5% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 37.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 37.8% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| 51.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) | |
| 49.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) | |
| ▶ | 50.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
| 51.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) | |
| 52.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 53.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 49.8% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) | |
| 49.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 49.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 72.7% | (*.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 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) | |
| 70.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 70.6% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| ▶ | 70.6% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
| 49.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) | |
| 49.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) | |
| 52.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) | |
| ▶ | 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
Compiled 1 048 to 680 computations (35.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) | |
| 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 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) | |
| cost-diff | 0 | (+.f64 a b) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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)) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 209 |
| 0 | 55 | 209 |
| 1 | 111 | 209 |
| 2 | 197 | 209 |
| 3 | 390 | 209 |
| 4 | 873 | 209 |
| 5 | 2139 | 209 |
| 6 | 4684 | 209 |
| 0 | 8083 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 a b))) |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(neg.f64 (sin.f64 b)) |
a |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 r (cos.f64 (+.f64 a b))) |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(neg.f64 (sin.f64 b)) |
a |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.15691376953688402 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) | |
| accuracy | 0.2109375 | (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| accuracy | 0.06640625 | (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) | |
| accuracy | 0.09375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) | |
| accuracy | 35.07584470251783 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) | |
| accuracy | 0.0 | (sin.f64 b) | |
| accuracy | 0.18359375 | (/.f64 r (cos.f64 (+.f64 a b))) | |
| accuracy | 0.205410009768442 | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| accuracy | 18.840218118729904 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.00390625 | (cos.f64 a) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| accuracy | 0.12109375 | (/.f64 r (cos.f64 a)) | |
| accuracy | 32.04700684088413 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| accuracy | 0.09375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.12337875976844202 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.125 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.26400375976844204 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 215.0ms | 186× | 1 | valid |
| 15.0ms | 70× | 0 | valid |
Compiled 193 to 28 computations (85.5% saved)
ival-mult: 106.0ms (54.5% of total)ival-cos: 26.0ms (13.4% of total)adjust: 24.0ms (12.3% of total)ival-sin: 16.0ms (8.2% of total)ival-div: 11.0ms (5.7% of total)ival-add: 7.0ms (3.6% of total)ival-neg: 3.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(/ r (cos (+ a 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))) |
(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)))))))) |
(* 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))))) |
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)))) |
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))) |
(/ 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))) |
(+ (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)))) |
b |
(+ a b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* -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))) (* (cos a) (cos b))) |
(cos a) |
(cos (+ a b)) |
a |
(* a (+ 1 (/ b a))) |
(* (cos a) (cos b)) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) 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)))) |
(* 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))))))) |
(* 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)))) |
(+ (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)))))))) |
(+ (/ 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))) |
(+ (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) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(* -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))))))))) |
(sin b) |
(* b (+ 1 (/ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | a | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b))) |
| 6.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b))) |
| 5.0ms | r | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b))) |
| 4.0ms | a | @ | inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b))) |
| 4.0ms | r | @ | inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 1562 |
| 1 | 1449 | 1464 |
| 2 | 5864 | 1444 |
| 0 | 8214 | 1339 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(/ r (cos (+ a 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))) |
(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)))))))) |
(* 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))))) |
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)))) |
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))) |
(/ 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))) |
(+ (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)))) |
b |
(+ a b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* -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))) (* (cos a) (cos b))) |
(cos a) |
(cos (+ a b)) |
a |
(* a (+ 1 (/ b a))) |
(* (cos a) (cos b)) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) 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)))) |
(* 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))))))) |
(* 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)))) |
(+ (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)))))))) |
(+ (/ 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))) |
(+ (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) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(* -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))))))))) |
(sin b) |
(* b (+ 1 (/ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 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))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.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 (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(* b r) |
(*.f64 b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (*.f64 (neg.f64 a) a) (*.f64 #s(literal -5/24 binary64) (*.f64 b r)))) (*.f64 a a) (*.f64 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))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) r)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 b)))) a (/.f64 r (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 b))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)) |
b |
(+ a b) |
(+.f64 a b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))))) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos a) |
(cos.f64 a) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
a |
(* a (+ 1 (/ b a))) |
(fma.f64 (/.f64 b a) a a) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 b) (/.f64 (cos.f64 b) a)) a) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (-.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64)) (neg.f64 a)) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 b) (/.f64 (cos.f64 b) a)) a) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) b) |
(* 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 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (neg.f64 b) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) b (/.f64 r (cos.f64 a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))) b (*.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))))) |
(+ 1 (* -1 (* a b))) |
(fma.f64 (neg.f64 b) a #s(literal 1 binary64)) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64)) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 b) (sin.f64 a)) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) b) |
(sin b) |
(sin.f64 b) |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) b b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 157 |
| 0 | 55 | 129 |
| 1 | 184 | 129 |
| 2 | 1205 | 129 |
| 0 | 8128 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (*.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
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(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
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(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) |
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(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 (neg.f64 a)))) |
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(sin.f64 (+.f64 (neg.f64 b) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
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(sin.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(sin.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(sin.f64 (-.f64 a (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b))) |
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a)))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 a)) b)) |
(cos.f64 (-.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))) |
(cos.f64 (+.f64 b (neg.f64 (neg.f64 a)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (neg.f64 a) b)) |
(cos.f64 (-.f64 a (neg.f64 b))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (-.f64 b (neg.f64 a))) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
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(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
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(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 (neg.f64 r) b) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 b (neg.f64 r)) (neg.f64 (cos.f64 a))) |
(/.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a))) |
(/.f64 r (cos.f64 a)) |
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 a))) |
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(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 a)))) |
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(cos.f64 (neg.f64 (neg.f64 a))) |
(cos.f64 (neg.f64 a)) |
(cos.f64 a) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
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(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
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(cos.f64 (+.f64 (neg.f64 (neg.f64 a)) b)) |
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(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
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(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) |
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (neg.f64 (-.f64 a b))) |
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(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b)) |
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(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
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(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))) |
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(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
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(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
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(*.f64 (cos.f64 b) (cos.f64 a)) |
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(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 (neg.f64 b)))) (cos.f64 (-.f64 a (neg.f64 (neg.f64 b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
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(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
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(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(fma.f64 a (neg.f64 (sin.f64 b)) (cos.f64 b)) |
(fma.f64 (sin.f64 b) (neg.f64 a) (cos.f64 b)) |
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(-.f64 (cos.f64 b) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) a)) |
(-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (neg.f64 (sin.f64 b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) |
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 b) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 b) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (PI.f64) b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) b) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (PI.f64) b) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) a)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) a)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 b (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (sin.f64 (+.f64 b (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (PI.f64) a)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (PI.f64) a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 a) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) a) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 (PI.f64) a)))) (cos.f64 (+.f64 (neg.f64 b) (neg.f64 (+.f64 (PI.f64) a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 b) (+.f64 (neg.f64 a) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 b) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 b) (+.f64 (+.f64 (PI.f64) a) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 b) (+.f64 (+.f64 (PI.f64) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) (neg.f64 (+.f64 (PI.f64) a)))) (cos.f64 (+.f64 (+.f64 (PI.f64) b) (neg.f64 (+.f64 (PI.f64) a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) (neg.f64 (neg.f64 a)))) (cos.f64 (+.f64 (+.f64 (PI.f64) b) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) (+.f64 (neg.f64 a) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (PI.f64) b) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) (+.f64 (+.f64 (PI.f64) a) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (PI.f64) b) (+.f64 (+.f64 (PI.f64) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (cos.f64 (+.f64 (+.f64 (PI.f64) b) a))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) a)) (neg.f64 b))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) a)) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (PI.f64) b))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (PI.f64) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (+.f64 (PI.f64) b))) (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (PI.f64) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (PI.f64) b))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (PI.f64) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (PI.f64) b))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (PI.f64) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a (+.f64 (PI.f64) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
Compiled 12 820 to 2 021 computations (84.2% saved)
44 alts after pruning (39 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 434 | 30 | 464 |
| Fresh | 10 | 9 | 19 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 444 | 44 | 488 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 50.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 54.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 51.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 59.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) | |
| 60.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 54.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 37.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) | |
| ▶ | 37.8% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
| 51.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 52.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| ✓ | 50.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
| 48.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)))))) | |
| 53.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| ▶ | 31.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
| 31.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| 49.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 49.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 72.7% | (*.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 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) | |
| ▶ | 70.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
| 70.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) | |
| 70.6% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 16.0% | (*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b)) | |
| ✓ | 70.6% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
| 61.0% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b)) | |
| 56.5% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b)) | |
| 72.1% | (*.f64 (*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (sin.f64 b)) | |
| 70.5% | (*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 b)) | |
| 70.5% | (*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b)) | |
| 52.2% | (*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) | |
| 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 49.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) | |
| 33.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) | |
| 32.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) | |
| ✓ | 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 31.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| 30.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| 31.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| ▶ | 31.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 1 954 to 1 298 computations (33.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 10 | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (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)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| cost-diff | 4 | (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 b r) | |
| cost-diff | 0 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| cost-diff | 0 | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 291 |
| 0 | 82 | 289 |
| 1 | 150 | 270 |
| 2 | 278 | 270 |
| 3 | 542 | 270 |
| 4 | 949 | 270 |
| 5 | 2408 | 270 |
| 6 | 7039 | 270 |
| 0 | 8178 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) |
#s(literal -1/2 binary64) |
(neg.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) |
#s(literal -1/2 binary64) |
(neg.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(cos.f64 (+.f64 a b)) |
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28744125976844204 | (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.3203125 | (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) | |
| accuracy | 18.703777009120063 | (cos.f64 (-.f64 b a)) | |
| accuracy | 18.840218118729904 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.015625 | (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) | |
| accuracy | 0.09375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| accuracy | 42.974836892484745 | (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) | |
| accuracy | 0.09375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| accuracy | 31.81575017813509 | #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))) | |
| accuracy | 35.07584470251783 | #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (*.f64 b r) | |
| accuracy | 28.128570541820203 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| accuracy | 32.04700684088413 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| accuracy | 0.125 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.12566376953688402 | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) | |
| accuracy | 0.2109375 | (*.f64 (sin.f64 a) (sin.f64 b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 191.0ms | 192× | 1 | valid |
| 25.0ms | 64× | 0 | valid |
Compiled 236 to 43 computations (81.8% saved)
ival-cos: 39.0ms (21.8% of total)ival-mult: 38.0ms (21.3% of total)ival-add: 36.0ms (20.1% of total)ival-sin: 27.0ms (15.1% of total)adjust: 15.0ms (8.4% of total)ival-div: 14.0ms (7.8% of total)ival-sub: 4.0ms (2.2% of total)ival-neg: 3.0ms (1.7% of total)ival-pi: 2.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI)))))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/ (* 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))) |
(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)))) |
(+ (* 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))))) |
(sin (+ b (* 1/2 (PI)))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI)))))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI))))))))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI))))))))))) |
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))) |
(+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(* 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)))))))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
(pow (cos b) 2) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos (+ a b)) |
(sin (+ a (+ b (* 1/2 (PI))))) |
(* (sin a) (sin b)) |
(* (cos a) (cos b)) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(cos (- b a)) |
(* (cos (+ a b)) (cos (- b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(sin (- (+ b (* 1/2 (PI))) (* -1 a))) |
(/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a)))) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a))))) |
(cos (+ b (* -1 a))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 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)))) |
(* 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))))))) |
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)))) |
(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)))) |
(sin (+ a (* 1/2 (PI)))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI)))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI))))))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI))))))))))) |
(/ (* b r) (sin (+ a (* 1/2 (PI))))) |
(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg 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)))))))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(* 1/2 (PI)) |
(+ b (* 1/2 (PI))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(sin b) |
(* b (+ 1 (* 1/2 (/ (PI) b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(sin (- (+ a (* 1/2 (PI))) (* -1 b))) |
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b)))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(* -1 (* b (- (* -1/2 (/ (PI) b)) 1))) |
(cos (neg (+ a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | r | @ | -inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 10.0ms | r | @ | 0 | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 6.0ms | r | @ | inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 5.0ms | b | @ | 0 | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 5.0ms | a | @ | 0 | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 2997 |
| 1 | 2294 | 2613 |
| 0 | 8873 | 2404 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI)))))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/ (* 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))) |
(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)))) |
(+ (* 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))))) |
(sin (+ b (* 1/2 (PI)))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI)))))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI))))))))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI))))))))))) |
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))) |
(+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(* 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)))))))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
(pow (cos b) 2) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos (+ a b)) |
(sin (+ a (+ b (* 1/2 (PI))))) |
(* (sin a) (sin b)) |
(* (cos a) (cos b)) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(cos (- b a)) |
(* (cos (+ a b)) (cos (- b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(sin (- (+ b (* 1/2 (PI))) (* -1 a))) |
(/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a)))) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a))))) |
(cos (+ b (* -1 a))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 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)))) |
(* 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))))))) |
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)))) |
(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)))) |
(sin (+ a (* 1/2 (PI)))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI)))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI))))))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI))))))))))) |
(/ (* b r) (sin (+ a (* 1/2 (PI))))) |
(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg 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)))))))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(* 1/2 (PI)) |
(+ b (* 1/2 (PI))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(sin b) |
(* b (+ 1 (* 1/2 (/ (PI) b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(sin (- (+ a (* 1/2 (PI))) (* -1 b))) |
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b)))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(* -1 (* b (- (* -1/2 (/ (PI) b)) 1))) |
(cos (neg (+ a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b r) |
(*.f64 b r) |
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 a r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) a (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) r)) (*.f64 a a) (*.f64 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))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 (neg.f64 b) r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) b) r)) (*.f64 a a) (*.f64 b r)) |
(sin (+ b (* 1/2 (PI)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI)))))) |
(fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI))))))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal -1/2 binary64))) a (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) |
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) |
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(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(*.f64 (fma.f64 (neg.f64 b) (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))) b (*.f64 (neg.f64 r) (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))))) b (*.f64 (neg.f64 r) (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(*.f64 b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(*.f64 (fma.f64 (neg.f64 b) (*.f64 r (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64)))))) b (*.f64 (neg.f64 r) (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))))) b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) (pow.f64 (cos.f64 a) #s(literal 6 binary64))) (fma.f64 r (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 a)) (+.f64 (neg.f64 (sin.f64 a)) (sin.f64 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64)))))) (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64))))))) b (*.f64 (neg.f64 r) (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))))) b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) |
(* b (sin a)) |
(*.f64 (sin.f64 a) b) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b) |
(* 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 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) (sin.f64 a))) (*.f64 b b) (sin.f64 a)) b) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a b))) |
(fma.f64 (neg.f64 a) b #s(literal 1 binary64)) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64)) |
(* 1/2 (PI)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(+ b (* 1/2 (PI))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) b) |
(cos (neg a)) |
(cos.f64 a) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(fma.f64 (neg.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a)) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (neg.f64 (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* (cos a) (cos (neg a))) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (neg.f64 b) (*.f64 (cos.f64 a) (+.f64 (neg.f64 (sin.f64 a)) (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))) (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) b)) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 a)) (+.f64 (neg.f64 (sin.f64 a)) (sin.f64 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) b (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(sin b) |
(sin.f64 b) |
(* b (+ 1 (* 1/2 (/ (PI) b)))) |
(*.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(sin (- (+ a (* 1/2 (PI))) (* -1 b))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))) |
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(* -1 (* b (- (* -1/2 (/ (PI) b)) 1))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(cos (neg (+ a (* -1 b)))) |
(cos.f64 (-.f64 a b)) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 222 |
| 0 | 82 | 190 |
| 1 | 295 | 187 |
| 2 | 2195 | 187 |
| 0 | 8128 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) |
(*.f64 (cos.f64 (-.f64 a b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) (/.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b)))) |
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 r (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 b)))) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 (neg.f64 b)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 (neg.f64 b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))) (sin.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 (neg.f64 a)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) b)) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 (neg.f64 b)))) (cos.f64 (-.f64 a (neg.f64 (neg.f64 b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 b)) a)) (cos.f64 (-.f64 (neg.f64 (neg.f64 b)) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 b (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) |
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) b) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) |
(+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) #s(literal 3 binary64)) (fma.f64 a (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) #s(literal 3 binary64)) (fma.f64 a (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) #s(literal 2 binary64))))))) |
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b))) |
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a)))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (neg.f64 a) b)) |
(cos.f64 (-.f64 a (neg.f64 b))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (-.f64 b (neg.f64 a))) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
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(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
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(fma.f64 (sin.f64 (-.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
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(sin.f64 (+.f64 (neg.f64 (-.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 a) b))) |
(cos.f64 (neg.f64 (+.f64 a (neg.f64 b)))) |
(cos.f64 (neg.f64 (neg.f64 (-.f64 a b)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 b a))))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 b) a))) |
(cos.f64 (neg.f64 (+.f64 b (neg.f64 a)))) |
(cos.f64 (neg.f64 (-.f64 a b))) |
(cos.f64 (neg.f64 (neg.f64 (-.f64 b a)))) |
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(cos.f64 (+.f64 a (neg.f64 b))) |
(cos.f64 (+.f64 (neg.f64 b) a)) |
(cos.f64 (+.f64 b (neg.f64 a))) |
(cos.f64 (neg.f64 (-.f64 b a))) |
(cos.f64 (-.f64 a b)) |
(cos.f64 (-.f64 b a)) |
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(+.f64 (*.f64 (sin.f64 (neg.f64 (-.f64 b a))) #s(literal 0 binary64)) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 b a)))) |
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(+.f64 (*.f64 (sin.f64 (-.f64 b a)) #s(literal 0 binary64)) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
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(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
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(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 b a))))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (-.f64 b a)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 a b))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (-.f64 a b)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (-.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (neg.f64 (-.f64 b a))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 a b))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 a b))))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (neg.f64 b) a))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 a b))))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (neg.f64 b) a))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (neg.f64 (+.f64 a b))))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 (neg.f64 b) a))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (-.f64 a b)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (-.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 a b))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 b a))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (neg.f64 (-.f64 a b)))) (cos.f64 (-.f64 (-.f64 (neg.f64 b) a) (neg.f64 (-.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (-.f64 (neg.f64 b) a) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (-.f64 (neg.f64 b) a) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (-.f64 a b))) (cos.f64 (-.f64 (-.f64 (neg.f64 b) a) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (-.f64 b a))) (cos.f64 (-.f64 (-.f64 (neg.f64 b) a) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 a b)))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (-.f64 a b))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 a b) (neg.f64 (-.f64 a b)))) (cos.f64 (-.f64 (+.f64 a b) (neg.f64 (-.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 a b) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (+.f64 a b) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 a b) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 a b) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 a b)) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (neg.f64 (-.f64 a b)) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 a b)) (-.f64 (neg.f64 b) a))) (cos.f64 (-.f64 (neg.f64 (-.f64 a b)) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 a b)) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (neg.f64 (-.f64 a b)) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 a b)) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 (-.f64 a b)) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (-.f64 (neg.f64 b) a))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (-.f64 (neg.f64 b) a))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (-.f64 a b) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (-.f64 (neg.f64 b) a))) (cos.f64 (-.f64 (-.f64 a b) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 a b) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 a b))) (cos.f64 (-.f64 (-.f64 a b) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (-.f64 (neg.f64 b) a))) (cos.f64 (-.f64 (-.f64 b a) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (cos.f64 (-.f64 a b))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (-.f64 b a)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 a)) (cos.f64 b) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 b)) (cos.f64 a) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (neg.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (fabs.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (fabs.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a b)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b)))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b)))) |
(+.f64 (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(+.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(+.f64 (/.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
Compiled 15 915 to 2 407 computations (84.9% saved)
66 alts after pruning (58 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 486 | 32 | 518 |
| Fresh | 8 | 26 | 34 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 496 | 66 | 562 |
| Status | Accuracy | Program |
|---|---|---|
| 70.5% | (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 50.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 54.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 51.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 59.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) | |
| 60.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 54.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| ▶ | 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 37.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) | |
| 37.8% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a))) | |
| 51.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 52.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) | |
| 53.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) | |
| 36.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) | |
| 36.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| ✓ | 50.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
| 48.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)))))) | |
| ✓ | 31.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
| ▶ | 31.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
| 36.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) | |
| 30.4% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 30.5% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 30.7% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 30.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 49.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 30.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 30.7% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 49.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) | |
| 36.7% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 36.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 38.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 37.7% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) | |
| ▶ | 38.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
| 36.6% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| 37.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) | |
| 53.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) | |
| 70.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) | |
| 54.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| ▶ | 55.0% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
| 70.8% | (*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) | |
| 70.6% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 16.0% | (*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b)) | |
| ✓ | 70.6% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
| 61.0% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b)) | |
| 70.5% | (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 b a))) | |
| 70.5% | (*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a))) | |
| 70.5% | (*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 b)) | |
| 70.5% | (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) | |
| 70.5% | (*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) | |
| 52.2% | (*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) | |
| 33.0% | #s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 49.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) | |
| 32.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) | |
| ✓ | 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 31.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| 30.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| ▶ | 31.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
| 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| ✓ | 31.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 3 267 to 2 174 computations (33.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| cost-diff | 4 | (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| cost-diff | 1 | (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) | |
| cost-diff | 2 | (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) | |
| cost-diff | 3 | (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 580 |
| 0 | 117 | 580 |
| 1 | 230 | 573 |
| 2 | 640 | 544 |
| 3 | 2560 | 537 |
| 4 | 6456 | 537 |
| 0 | 8038 | 530 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))) |
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
a |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) |
(neg.f64 (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))) |
(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
#s(literal 2 binary64) |
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) |
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
r |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
b |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
(fma.f64 (neg.f64 b) a #s(literal 1 binary64)) |
(neg.f64 b) |
a |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 a) |
a |
#s(literal 2 binary64) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (sin.f64 b) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
a |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (cos.f64 a) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) |
(*.f64 (cos.f64 a) (neg.f64 (cos.f64 b))) |
(neg.f64 (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
#s(literal 2 binary64) |
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))) |
(*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(*.f64 (*.f64 (*.f64 (cos.f64 a) (sin.f64 a)) (cos.f64 b)) (sin.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) |
(/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
r |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
b |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
(fma.f64 (neg.f64 b) a #s(literal 1 binary64)) |
(neg.f64 b) |
a |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) r) (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 a) |
a |
#s(literal 2 binary64) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(cos.f64 (-.f64 a b)) |
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3203125 | (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 18.703777009120063 | (cos.f64 (-.f64 b a)) | |
| accuracy | 18.840218118729904 | (cos.f64 (+.f64 a b)) | |
| accuracy | 42.71070792892387 | (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) | |
| accuracy | 0.2578125 | (pow.f64 (cos.f64 a) #s(literal 2 binary64)) | |
| accuracy | 0.28744125976844204 | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) | |
| accuracy | 18.703777009120063 | (cos.f64 (-.f64 b a)) | |
| accuracy | 28.682554411846098 | #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) | |
| accuracy | 0.09375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| accuracy | 31.634070688059932 | #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) | |
| accuracy | 35.07584470251783 | #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) | |
| accuracy | 0.12109375 | (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 32.04700684088413 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| accuracy | 35.694520870309425 | #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.29525375976844204 | (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))) | |
| accuracy | 0.3447838379159782 | (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) | |
| accuracy | 0.3515625 | (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) | |
| accuracy | 0.47081767583195644 | (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) |
| 239.0ms | 192× | 1 | valid |
| 32.0ms | 64× | 0 | valid |
Compiled 498 to 58 computations (88.4% saved)
ival-mult: 59.0ms (26.3% of total)ival-cos: 35.0ms (15.6% of total)ival-sin: 34.0ms (15.2% of total)ival-div: 21.0ms (9.4% of total)adjust: 20.0ms (8.9% of total)ival-add: 15.0ms (6.7% of total)ival-pow: 15.0ms (6.7% of total)ival-pow2: 12.0ms (5.4% of total)ival-sub: 6.0ms (2.7% of total)ival-neg: 5.0ms (2.2% of total)ival-pi: 2.0ms (0.9% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))) |
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) |
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) |
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(cos.f64 (-.f64 b a)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 (+.f64 a b)) |
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* r (sin b)) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/ (* r (* (cos (- b a)) (sin b))) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b)))) |
(pow (cos b) 2) |
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* a (pow (cos b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(pow (cos b) 3) |
(- (* -3/2 (* (pow a 2) (pow (cos b) 3))) (* -1 (pow (cos b) 3))) |
(- (* (pow a 2) (- (* -1 (* a (pow (sin b) 3))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3))) |
(- (* (pow a 2) (- (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3))) |
(* a (* (cos b) (sin b))) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (* 1/12 (* (cos b) (sin b))))))))))) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (+ (* 1/12 (* (cos b) (sin b))) (* (pow a 2) (+ (* -1/144 (* (cos b) (sin b))) (+ (* -1/240 (* (cos b) (sin b))) (+ (* -1/720 (* (cos b) (sin b))) (* -1/5040 (* (cos b) (sin b)))))))))))))))) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))) (pow (sin b) 2)))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(/ (* 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))) |
(* 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))))) |
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)))) |
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 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)))) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (cos (- (* 1/2 (PI)) b)))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (cos (- (* 1/2 (PI)) b)) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (cos (- (* 1/2 (PI)) b)) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* -1/6 (* a (cos (- (* 1/2 (PI)) b))))))))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))) |
(+ (* a (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (+ (* a (- (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))) (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (+ (* a (- (+ (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) (* a (- (* -1/6 (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (+ (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* -1/6 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* 1/6 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* 1/2 (* (sin b) (sin (- (* 1/2 (PI)) b))))))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (/ (* (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))) (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b))))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2)))) (/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) 2))) (* (pow (cos b) 3) (pow (sin (- (* 1/2 (PI)) b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b))))))) (* (pow (cos b) 3) (pow (sin (- (* 1/2 (PI)) b)) 3)))) (+ (* -1 (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) 2))) (* (pow (cos b) 3) (pow (sin (- (* 1/2 (PI)) b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* -1/6 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* 1/6 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* 1/2 (* (sin b) (sin (- (* 1/2 (PI)) b))))))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) 2))) (* (pow (cos b) 3) (pow (sin (- (* 1/2 (PI)) b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) |
(* -1 (pow (cos b) 3)) |
(+ (* -1 (pow (cos b) 3)) (* 3/2 (* (pow a 2) (pow (cos b) 3)))) |
(+ (* -1 (pow (cos b) 3)) (* (pow a 2) (+ (* -7/8 (* (pow a 2) (pow (cos b) 3))) (* 3/2 (pow (cos b) 3))))) |
(+ (* -1 (pow (cos b) 3)) (* (pow a 2) (+ (* 3/2 (pow (cos b) 3)) (* (pow a 2) (+ (* -7/8 (pow (cos b) 3)) (* 61/240 (* (pow a 2) (pow (cos b) 3)))))))) |
(+ (* -1 (* (pow a 2) (pow (cos b) 2))) (pow (cos b) 2)) |
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* 1/3 (* (pow a 2) (pow (cos b) 2))))) (pow (cos b) 2)) |
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* (pow a 2) (+ (* -2/45 (* (pow a 2) (pow (cos b) 2))) (* 1/3 (pow (cos b) 2)))))) (pow (cos b) 2)) |
(* -1 (* (pow a 3) (pow (sin b) 3))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* 1/2 (* (pow a 2) (pow (sin b) 3))))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (* (pow a 2) (pow (sin b) 3))) (* 1/2 (pow (sin b) 3)))))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* 1/2 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (pow (sin b) 3)) (* 41/3024 (* (pow a 2) (pow (sin b) 3))))))))) |
(+ (cos b) (* a (- (* a (- (* -3/2 (cos b)) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (sin b)))) |
(+ (cos b) (* a (- (* a (- (+ (* -3/2 (cos b)) (* a (- (* -1 (/ (pow (sin b) 3) (pow (cos b) 2))) (+ (* -1 (/ (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (pow (cos b) 2))) (+ (* -1/2 (sin b)) (+ (* -1/6 (sin b)) (/ (* (sin b) (- (* -3/2 (cos b)) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (cos b)))))))) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (sin b)))) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
(+ 1 (* -1 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(* (cos b) (sin (- (* 1/2 (PI)) b))) |
(+ (* a (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b))))) (* (cos b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (+ (* a (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b))))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (+ (* a (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (+ (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b))) (* a (+ (* -1/2 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* -1/6 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* 1/6 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* 1/2 (* (sin b) (sin (- (* 1/2 (PI)) b))))))))))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* (cos a) (* (cos b) (* (sin a) (sin b)))) (* (pow (cos a) 2) (pow (cos b) 2))) |
(- (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* -1 (* (pow (cos a) 3) (pow (cos b) 3)))) |
(* (cos a) (* (cos b) (* (sin a) (sin b)))) |
(+ (* (cos a) (* (cos b) (* (sin a) (sin b)))) (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2)))) |
(cos a) |
(cos (+ a b)) |
(sin (- (+ a (* 1/2 (PI))) b)) |
(* -1 (* (pow (cos a) 3) (pow (cos b) 3))) |
(* (pow (cos a) 2) (pow (cos b) 2)) |
(* -1 (* (pow (sin a) 3) (pow (sin b) 3))) |
(/ (- (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* -1 (* (pow (cos a) 3) (pow (cos b) 3)))) (+ (* (cos a) (* (cos b) (* (sin a) (sin b)))) (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(* (cos (+ a b)) (cos (- b a))) |
(cos (- b a)) |
(pow (cos a) 2) |
(* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(sin (- (* 1/2 (PI)) (+ b (* -1 a)))) |
(/ (* r (* (cos (+ b (* -1 a))) (sin b))) (* (cos (- b (* -1 a))) (sin (- (* 1/2 (PI)) (+ b (* -1 a)))))) |
(/ (* r (sin b)) (* (cos (- b (* -1 a))) (sin (- (* 1/2 (PI)) (+ b (* -1 a)))))) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a))))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(cos (+ b (* -1 a))) |
(* (cos (- b (* -1 a))) (sin (- (* 1/2 (PI)) (+ b (* -1 a))))) |
(+ (* b (* (cos a) (sin a))) (pow (cos a) 2)) |
(+ (* b (+ (* -1 (* b (pow (cos a) 2))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(+ (* b (+ (* b (+ (* -1 (pow (cos a) 2)) (* b (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(pow (cos a) 3) |
(- (* -3/2 (* (pow b 2) (pow (cos a) 3))) (* -1 (pow (cos a) 3))) |
(- (* (pow b 2) (- (* -1 (* b (pow (sin a) 3))) (* 3/2 (pow (cos a) 3)))) (* -1 (pow (cos a) 3))) |
(- (* (pow b 2) (- (* b (+ (* -1 (pow (sin a) 3)) (* 7/8 (* b (pow (cos a) 3))))) (* 3/2 (pow (cos a) 3)))) (* -1 (pow (cos a) 3))) |
(* b (* (cos a) (sin a))) |
(* b (+ (* (cos a) (sin a)) (* (pow b 2) (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))))) |
(* b (+ (* (cos a) (sin a)) (* (pow b 2) (+ (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a)))) (* (pow b 2) (* (cos a) (+ (* 1/120 (sin a)) (+ (* 1/24 (sin a)) (* 1/12 (sin a)))))))))) |
(* b (+ (* (cos a) (sin a)) (* (pow b 2) (+ (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a)))) (* (pow b 2) (+ (* (cos a) (+ (* 1/120 (sin a)) (+ (* 1/24 (sin a)) (* 1/12 (sin a))))) (* (pow b 2) (* (cos a) (+ (* -1/144 (sin a)) (+ (* -1/240 (sin a)) (+ (* -1/720 (sin a)) (* -1/5040 (sin a))))))))))))) |
(+ (* b (+ (* b (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(+ (* b (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* b (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))) (pow (sin a) 2)))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(* 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)))) |
(* 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))))))) |
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)))) |
(+ (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)))) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(sin (+ a (* 1/2 (PI)))) |
(+ (sin (+ a (* 1/2 (PI)))) (* -1 (* b (cos (+ a (* 1/2 (PI))))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (* -1 (cos (+ a (* 1/2 (PI))))) (* -1/2 (* b (sin (+ a (* 1/2 (PI))))))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (* -1 (cos (+ a (* 1/2 (PI))))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* 1/6 (* b (cos (+ a (* 1/2 (PI))))))))))) |
(/ (* b (* r (cos (neg a)))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(* b (+ (* b (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* b (+ (* b (- (+ (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (* b (- (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* b (+ (* b (- (+ (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (* b (- (+ (* b (- (* 1/3 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (/ (* r (* (cos (neg a)) (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI))))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (/ (* (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(/ (* b r) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (/ (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (/ (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* -1 (pow (cos a) 3)) |
(+ (* -1 (pow (cos a) 3)) (* 3/2 (* (pow b 2) (pow (cos a) 3)))) |
(+ (* -1 (pow (cos a) 3)) (* (pow b 2) (+ (* -7/8 (* (pow b 2) (pow (cos a) 3))) (* 3/2 (pow (cos a) 3))))) |
(+ (* -1 (pow (cos a) 3)) (* (pow b 2) (+ (* 3/2 (pow (cos a) 3)) (* (pow b 2) (+ (* -7/8 (pow (cos a) 3)) (* 61/240 (* (pow b 2) (pow (cos a) 3)))))))) |
(+ (* -1 (* (pow b 2) (pow (cos a) 2))) (pow (cos a) 2)) |
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* 1/3 (* (pow b 2) (pow (cos a) 2))))) (pow (cos a) 2)) |
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* (pow b 2) (+ (* -2/45 (* (pow b 2) (pow (cos a) 2))) (* 1/3 (pow (cos a) 2)))))) (pow (cos a) 2)) |
(* -1 (* (pow b 3) (pow (sin a) 3))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* 1/2 (* (pow b 2) (pow (sin a) 3))))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (* (pow b 2) (pow (sin a) 3))) (* 1/2 (pow (sin a) 3)))))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* 1/2 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (pow (sin a) 3)) (* 41/3024 (* (pow b 2) (pow (sin a) 3))))))))) |
(+ (cos a) (* b (- (* b (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a)))) |
(+ (cos a) (* b (- (* b (- (+ (* -3/2 (cos a)) (* b (- (* -1 (/ (pow (sin a) 3) (pow (cos a) 2))) (+ (* -1 (/ (* (sin a) (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (pow (cos a) 2))) (+ (* -1/2 (sin a)) (+ (* -1/6 (sin a)) (/ (* (sin a) (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (cos a)))))))) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a)))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* (cos a) (sin (+ a (* 1/2 (PI))))) |
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (* b (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(sin (+ a (+ (* -1 b) (* 1/2 (PI))))) |
(/ (* r (* (cos (neg (+ a (* -1 b)))) (sin b))) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))) |
(/ (* r (sin b)) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
(* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | b | @ | -inf | ((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) |
| 24.0ms | b | @ | 0 | ((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) |
| 12.0ms | a | @ | -inf | ((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) |
| 12.0ms | a | @ | 0 | ((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) |
| 10.0ms | a | @ | inf | ((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1092 | 7249 |
| 1 | 4247 | 7018 |
| 0 | 8350 | 6564 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* r (sin b)) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/ (* r (* (cos (- b a)) (sin b))) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b)))) |
(pow (cos b) 2) |
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* a (pow (cos b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(pow (cos b) 3) |
(- (* -3/2 (* (pow a 2) (pow (cos b) 3))) (* -1 (pow (cos b) 3))) |
(- (* (pow a 2) (- (* -1 (* a (pow (sin b) 3))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3))) |
(- (* (pow a 2) (- (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3))) |
(* a (* (cos b) (sin b))) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (* 1/12 (* (cos b) (sin b))))))))))) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (+ (* 1/12 (* (cos b) (sin b))) (* (pow a 2) (+ (* -1/144 (* (cos b) (sin b))) (+ (* -1/240 (* (cos b) (sin b))) (+ (* -1/720 (* (cos b) (sin b))) (* -1/5040 (* (cos b) (sin b)))))))))))))))) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))) (pow (sin b) 2)))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(/ (* 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))) |
(* 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))))) |
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)))) |
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 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)))) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (cos (- (* 1/2 (PI)) b)))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (cos (- (* 1/2 (PI)) b)) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (cos (- (* 1/2 (PI)) b)) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* -1/6 (* a (cos (- (* 1/2 (PI)) b))))))))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))) |
(+ (* a (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (+ (* a (- (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))) (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (+ (* a (- (+ (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) (* a (- (* -1/6 (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (+ (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* -1/6 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* 1/6 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* 1/2 (* (sin b) (sin (- (* 1/2 (PI)) b))))))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (/ (* (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))) (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b))))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2)))) (/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) 2))) (* (pow (cos b) 3) (pow (sin (- (* 1/2 (PI)) b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b))))))) (* (pow (cos b) 3) (pow (sin (- (* 1/2 (PI)) b)) 3)))) (+ (* -1 (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) 2))) (* (pow (cos b) 3) (pow (sin (- (* 1/2 (PI)) b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* -1/6 (* (cos b) (cos (- (* 1/2 (PI)) b)))) (+ (* 1/6 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* 1/2 (* (sin b) (sin (- (* 1/2 (PI)) b))))))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) 2))) (* (pow (cos b) 3) (pow (sin (- (* 1/2 (PI)) b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (pow (cos b) 2) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) |
(* -1 (pow (cos b) 3)) |
(+ (* -1 (pow (cos b) 3)) (* 3/2 (* (pow a 2) (pow (cos b) 3)))) |
(+ (* -1 (pow (cos b) 3)) (* (pow a 2) (+ (* -7/8 (* (pow a 2) (pow (cos b) 3))) (* 3/2 (pow (cos b) 3))))) |
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(+ (* -1 (* (pow a 2) (pow (cos b) 2))) (pow (cos b) 2)) |
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* 1/3 (* (pow a 2) (pow (cos b) 2))))) (pow (cos b) 2)) |
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(* -1 (* (pow a 3) (pow (sin b) 3))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* 1/2 (* (pow a 2) (pow (sin b) 3))))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (* (pow a 2) (pow (sin b) 3))) (* 1/2 (pow (sin b) 3)))))) |
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(+ (cos b) (* a (sin b))) |
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(* (cos b) (sin (- (* 1/2 (PI)) b))) |
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(* (cos a) (* (cos b) (* (sin a) (sin b)))) |
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(cos a) |
(cos (+ a b)) |
(sin (- (+ a (* 1/2 (PI))) b)) |
(* -1 (* (pow (cos a) 3) (pow (cos b) 3))) |
(* (pow (cos a) 2) (pow (cos b) 2)) |
(* -1 (* (pow (sin a) 3) (pow (sin b) 3))) |
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(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(* (cos (+ a b)) (cos (- b a))) |
(cos (- b a)) |
(pow (cos a) 2) |
(* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(sin (- (* 1/2 (PI)) (+ b (* -1 a)))) |
(/ (* r (* (cos (+ b (* -1 a))) (sin b))) (* (cos (- b (* -1 a))) (sin (- (* 1/2 (PI)) (+ b (* -1 a)))))) |
(/ (* r (sin b)) (* (cos (- b (* -1 a))) (sin (- (* 1/2 (PI)) (+ b (* -1 a)))))) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a))))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(cos (+ b (* -1 a))) |
(* (cos (- b (* -1 a))) (sin (- (* 1/2 (PI)) (+ b (* -1 a))))) |
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(pow (cos a) 3) |
(- (* -3/2 (* (pow b 2) (pow (cos a) 3))) (* -1 (pow (cos a) 3))) |
(- (* (pow b 2) (- (* -1 (* b (pow (sin a) 3))) (* 3/2 (pow (cos a) 3)))) (* -1 (pow (cos a) 3))) |
(- (* (pow b 2) (- (* b (+ (* -1 (pow (sin a) 3)) (* 7/8 (* b (pow (cos a) 3))))) (* 3/2 (pow (cos a) 3)))) (* -1 (pow (cos a) 3))) |
(* b (* (cos a) (sin a))) |
(* b (+ (* (cos a) (sin a)) (* (pow b 2) (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))))) |
(* b (+ (* (cos a) (sin a)) (* (pow b 2) (+ (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a)))) (* (pow b 2) (* (cos a) (+ (* 1/120 (sin a)) (+ (* 1/24 (sin a)) (* 1/12 (sin a)))))))))) |
(* b (+ (* (cos a) (sin a)) (* (pow b 2) (+ (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a)))) (* (pow b 2) (+ (* (cos a) (+ (* 1/120 (sin a)) (+ (* 1/24 (sin a)) (* 1/12 (sin a))))) (* (pow b 2) (* (cos a) (+ (* -1/144 (sin a)) (+ (* -1/240 (sin a)) (+ (* -1/720 (sin a)) (* -1/5040 (sin a))))))))))))) |
(+ (* b (+ (* b (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(+ (* b (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* b (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))) (pow (sin a) 2)))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
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(* 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)))) |
(* 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))))))) |
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)))) |
(+ (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)))) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
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(sin (+ a (* 1/2 (PI)))) |
(+ (sin (+ a (* 1/2 (PI)))) (* -1 (* b (cos (+ a (* 1/2 (PI))))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (* -1 (cos (+ a (* 1/2 (PI))))) (* -1/2 (* b (sin (+ a (* 1/2 (PI))))))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (* -1 (cos (+ a (* 1/2 (PI))))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* 1/6 (* b (cos (+ a (* 1/2 (PI))))))))))) |
(/ (* b (* r (cos (neg a)))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(* b (+ (* b (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* b (+ (* b (- (+ (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (* b (- (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* b (+ (* b (- (+ (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (* b (- (+ (* b (- (* 1/3 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (/ (* r (* (cos (neg a)) (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI))))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (/ (* (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(/ (* b r) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (/ (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (/ (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) |
(* -1 (pow (cos a) 3)) |
(+ (* -1 (pow (cos a) 3)) (* 3/2 (* (pow b 2) (pow (cos a) 3)))) |
(+ (* -1 (pow (cos a) 3)) (* (pow b 2) (+ (* -7/8 (* (pow b 2) (pow (cos a) 3))) (* 3/2 (pow (cos a) 3))))) |
(+ (* -1 (pow (cos a) 3)) (* (pow b 2) (+ (* 3/2 (pow (cos a) 3)) (* (pow b 2) (+ (* -7/8 (pow (cos a) 3)) (* 61/240 (* (pow b 2) (pow (cos a) 3)))))))) |
(+ (* -1 (* (pow b 2) (pow (cos a) 2))) (pow (cos a) 2)) |
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* 1/3 (* (pow b 2) (pow (cos a) 2))))) (pow (cos a) 2)) |
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* (pow b 2) (+ (* -2/45 (* (pow b 2) (pow (cos a) 2))) (* 1/3 (pow (cos a) 2)))))) (pow (cos a) 2)) |
(* -1 (* (pow b 3) (pow (sin a) 3))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* 1/2 (* (pow b 2) (pow (sin a) 3))))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (* (pow b 2) (pow (sin a) 3))) (* 1/2 (pow (sin a) 3)))))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* 1/2 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (pow (sin a) 3)) (* 41/3024 (* (pow b 2) (pow (sin a) 3))))))))) |
(+ (cos a) (* b (- (* b (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a)))) |
(+ (cos a) (* b (- (* b (- (+ (* -3/2 (cos a)) (* b (- (* -1 (/ (pow (sin a) 3) (pow (cos a) 2))) (+ (* -1 (/ (* (sin a) (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (pow (cos a) 2))) (+ (* -1/2 (sin a)) (+ (* -1/6 (sin a)) (/ (* (sin a) (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (cos a)))))))) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a)))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* (cos a) (sin (+ a (* 1/2 (PI))))) |
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (* b (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(sin (+ a (+ (* -1 b) (* 1/2 (PI))))) |
(/ (* r (* (cos (neg (+ a (* -1 b)))) (sin b))) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))) |
(/ (* r (sin b)) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
(* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 b a))) |
(/ (* r (* (cos (- b a)) (sin b))) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b)))) |
(*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) |
(pow (cos b) 2) |
(pow.f64 (cos.f64 b) #s(literal 2 binary64)) |
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2)) |
(fma.f64 (*.f64 (cos.f64 b) a) (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (+ (* -1 (* a (pow (cos b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (neg.f64 a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64)) a (neg.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(pow (cos b) 3) |
(pow.f64 (cos.f64 b) #s(literal 3 binary64)) |
(- (* -3/2 (* (pow a 2) (pow (cos b) 3))) (* -1 (pow (cos b) 3))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a a)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) |
(- (* (pow a 2) (- (* -1 (* a (pow (sin b) 3))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3))) |
(fma.f64 (fma.f64 (neg.f64 a) (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 a a) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) |
(- (* (pow a 2) (- (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 7/8 binary64) a) (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 a a) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) |
(* a (* (cos b) (sin b))) |
(*.f64 (*.f64 (cos.f64 b) a) (sin.f64 b)) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) |
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64)) (*.f64 (cos.f64 b) (sin.f64 b))) a) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (* 1/12 (* (cos b) (sin b))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 b)) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal 1/8 binary64))) (*.f64 a a))) (*.f64 a a) (*.f64 (cos.f64 b) (sin.f64 b))) a) |
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (+ (* 1/12 (* (cos b) (sin b))) (* (pow a 2) (+ (* -1/144 (* (cos b) (sin b))) (+ (* -1/240 (* (cos b) (sin b))) (+ (* -1/720 (* (cos b) (sin b))) (* -1/5040 (* (cos b) (sin b)))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 b)) (sin.f64 b) (fma.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal 1/8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/144 binary64) (cos.f64 b)) (sin.f64 b) (fma.f64 (*.f64 #s(literal -1/240 binary64) (cos.f64 b)) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1/630 binary64)))) (*.f64 a a)))) (*.f64 a a))) (*.f64 a a) (*.f64 (cos.f64 b) (sin.f64 b))) a) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) a (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))) (pow (sin b) 2)))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (cos.f64 b)) (cos.f64 b) (fma.f64 (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64)) a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) a (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) 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))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(* b r) |
(*.f64 r b) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b) (*.f64 r b)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 r b) #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 r b))) (*.f64 a a) (*.f64 r b)) |
(+ (* 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))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 #s(literal -1/720 binary64) (*.f64 r b) (fma.f64 #s(literal 1/48 binary64) (*.f64 r b) (*.f64 (*.f64 (*.f64 r b) #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (neg.f64 b) r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 r b))) (*.f64 a a) (*.f64 r b)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 r #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 #s(literal -1/720 binary64) r (fma.f64 (*.f64 r #s(literal -5/24 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) r))) (*.f64 (neg.f64 r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(fma.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 b))) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 b) (sin.f64 b))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 6 binary64))) (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) (*.f64 (neg.f64 r) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (cos.f64 b) #s(literal 6 binary64))) (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 b) (sin.f64 b)))) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 b) (sin.f64 b))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 6 binary64))) (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64) (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal 2/3 binary64))) (sin.f64 b)) r) (pow.f64 (cos.f64 b) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 b) (sin.f64 b))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 6 binary64))) (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 4 binary64)))))) a (*.f64 (neg.f64 r) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(sin (- (* 1/2 (PI)) b)) |
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(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (sin.f64 a))) b (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (neg.f64 (sin.f64 a))))) b (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a))) |
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (* b (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) |
(fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 a)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (sin.f64 a)))))) b (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (sin.f64 a)))) b (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (neg.f64 (sin.f64 a))))) b (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a))) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))) |
(cos (- a (* -1 b))) |
(cos.f64 (-.f64 a (neg.f64 b))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (fma.f64 #s(literal -1 binary64) b a))) (cos.f64 (-.f64 a (neg.f64 b)))) |
(sin (+ a (+ (* -1 b) (* 1/2 (PI))))) |
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a)) |
(/ (* r (* (cos (neg (+ a (* -1 b)))) (sin b))) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b)))) (/.f64 r (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a)))) |
(/ (* r (sin b)) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a)) (cos.f64 (-.f64 a (neg.f64 b))))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (cos.f64 (-.f64 a (neg.f64 b)))) |
(cos (neg (+ a (* -1 b)))) |
(cos.f64 (fma.f64 #s(literal -1 binary64) b a)) |
(* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))) |
(*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a)) (cos.f64 (-.f64 a (neg.f64 b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 404 |
| 0 | 115 | 357 |
| 1 | 427 | 340 |
| 2 | 3456 | 326 |
| 0 | 8051 | 325 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))) |
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) |
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) |
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(cos.f64 (-.f64 b a)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 (+.f64 a b)) |
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 a)) (neg.f64 (cos.f64 b))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64))) (+.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 b)) (cos.f64 a) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 a)) (cos.f64 b) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (cos.f64 b))) (cos.f64 a) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 a)) (neg.f64 (cos.f64 b)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (sin.f64 b))) (sin.f64 a) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (neg.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (fabs.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (fabs.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (fabs.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (fabs.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (exp.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a)) (neg.f64 (sin.f64 b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (cos.f64 a) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (cos.f64 b)) (*.f64 (cos.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (neg.f64 (cos.f64 b)) (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (cos.f64 a) (*.f64 (cos.f64 a) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (cos.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (cos.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a))))) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a)))))) |
(-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) (*.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
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(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
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(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 (neg.f64 (+.f64 b a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (pow.f64 (cos.f64 b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (sin.f64 (+.f64 b a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (+.f64 b a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (pow.f64 (cos.f64 b) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(sin.f64 (-.f64 a (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 (neg.f64 a)) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 (neg.f64 a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 b a)))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (-.f64 a (neg.f64 b))) |
(cos.f64 (neg.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 b a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (+.f64 b a)))) |
(+.f64 (*.f64 (sin.f64 (+.f64 b a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 b)))) |
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) |
(fma.f64 (sin.f64 (neg.f64 (-.f64 b a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (pow.f64 (cos.f64 b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(fma.f64 (pow.f64 (cos.f64 b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (pow.f64 (sin.f64 a) #s(literal 1 binary64)) (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (sin.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 (-.f64 b a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (sin.f64 (-.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (-.f64 b a)))) |
(fma.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (-.f64 a b)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (*.f64 (cos.f64 a) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(fma.f64 (sin.f64 a) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (pow.f64 (cos.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (pow.f64 (cos.f64 b) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) |
(sin.f64 (+.f64 (neg.f64 b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(sin.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) |
(sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(-.f64 (*.f64 (sin.f64 b) (cos.f64 (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 b) (sin.f64 (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (/.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (sin.f64 (/.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) #s(literal 3 binary64)) (fma.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) #s(literal 3 binary64)) (fma.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(cos.f64 (neg.f64 (-.f64 a b))) |
(cos.f64 (neg.f64 (neg.f64 (-.f64 b a)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(cos.f64 (+.f64 (neg.f64 b) a)) |
(cos.f64 (+.f64 a (neg.f64 b))) |
(cos.f64 (neg.f64 (-.f64 b a))) |
(cos.f64 (-.f64 a b)) |
(cos.f64 (-.f64 b a)) |
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(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 a))) |
(*.f64 (fabs.f64 (cos.f64 a)) (fabs.f64 (cos.f64 a))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 a))) (exp.f64 (log.f64 (cos.f64 a)))) |
(*.f64 (cos.f64 a) (cos.f64 a)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 a))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 (neg.f64 a)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
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(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) a)) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 a (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64)) |
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(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) a)) (cos.f64 (-.f64 (neg.f64 a) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 a))) (cos.f64 (-.f64 a (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64)) |
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(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 a)) (sin.f64 (neg.f64 a)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64))) |
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 a))))) |
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(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) |
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(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (+.f64 b a) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (neg.f64 (+.f64 b a)))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (neg.f64 (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (+.f64 b a)))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b a))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (neg.f64 (-.f64 b a)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 b a)))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (+.f64 b a))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 b a)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 b a)) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (neg.f64 (+.f64 b a)) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 b a)) (-.f64 b a))) (cos.f64 (-.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (+.f64 b a) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 b a)))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64)) |
(fma.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(+.f64 (/.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 b a)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)) #s(literal 2 binary64)) (/.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) #s(literal 2 binary64))) |
Compiled 40 603 to 4 121 computations (89.9% saved)
89 alts after pruning (79 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 777 | 40 | 817 |
| Fresh | 14 | 39 | 53 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 794 | 89 | 883 |
| Status | Accuracy | Program |
|---|---|---|
| 55.0% | (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) | |
| 60.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) | |
| 70.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 (+.f64 b a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 50.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 54.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 51.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 59.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) | |
| 60.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 54.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) | |
| 86.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) | |
| 57.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) #s(approx (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a))))))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(approx (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a))))))) | |
| 99.3% | (/.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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))) | |
| 22.9% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 3 binary64)))) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))) (sin.f64 a)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 37.5% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) | |
| 37.8% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a))) | |
| 51.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 52.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) | |
| 53.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) | |
| 36.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) | |
| 36.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| ✓ | 50.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
| ✓ | 31.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
| ✓ | 31.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
| 36.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) | |
| 30.3% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| 30.5% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 30.6% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| 30.7% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 30.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| 49.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 30.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| 30.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 30.7% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) | |
| 49.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) | |
| 37.7% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 71.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) | |
| 36.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) | |
| 36.6% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| 37.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) | |
| 53.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) | |
| 70.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) | |
| 36.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 37.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 38.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (cos.f64 (-.f64 b a))) | |
| 38.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a))) | |
| 54.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| 53.4% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) | |
| 35.7% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| 37.1% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| 54.7% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) | |
| 38.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) | |
| 54.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a 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))) | |
| 70.8% | (*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) | |
| 39.0% | (*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64)) | |
| 70.6% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| ✓ | 70.6% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
| 61.0% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b)) | |
| 70.5% | (*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 b)) | |
| 55.0% | (*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a))) | |
| 55.0% | (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) | |
| 70.5% | (*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a))) | |
| 70.6% | (*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) | |
| 38.3% | (*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)))) (cos.f64 (-.f64 b a))) | |
| 52.2% | (*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) | |
| 33.0% | #s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| 31.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) | |
| 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 49.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) | |
| 32.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) | |
| ✓ | 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 31.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| 30.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| ✓ | 31.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
| 49.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| 31.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) | |
| ✓ | 31.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| 37.0% | #s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))) | |
| 38.3% | #s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
Compiled 6 374 to 2 446 computations (61.6% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
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(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
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(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
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#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) |
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(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
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(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
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(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b)) |
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(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) |
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
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(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
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#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
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(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 (+.f64 b a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))) |
(*.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 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #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)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) #s(approx (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(approx (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))) (sin.f64 a)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 3 binary64)))) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
4 calls:
| 47.0ms | r |
| 34.0ms | b |
| 32.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 30.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a 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(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
4 calls:
| 76.0ms | b |
| 46.0ms | r |
| 28.0ms | a |
| 24.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a 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(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
4 calls:
| 41.0ms | b |
| 38.0ms | r |
| 24.0ms | a |
| 23.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a 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(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
4 calls:
| 66.0ms | b |
| 38.0ms | r |
| 31.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 24.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.2% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 71.2% | 1 | r |
| 71.2% | 1 | a |
| 71.2% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a 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(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
4 calls:
| 54.0ms | b |
| 32.0ms | r |
| 29.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 21.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 1 | b |
| 70.8% | 1 | a |
| 70.8% | 1 | r |
| 70.8% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a 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(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
4 calls:
| 37.0ms | r |
| 34.0ms | a |
| 27.0ms | b |
| 20.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 1 | b |
| 70.6% | 1 | a |
| 70.6% | 1 | r |
| 70.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
4 calls:
| 19.0ms | b |
| 9.0ms | a |
| 9.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 9.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 1 | a |
| 70.6% | 1 | b |
| 70.6% | 1 | r |
| 70.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
4 calls:
| 10.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 9.0ms | a |
| 9.0ms | r |
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 3 | a |
| 70.4% | 3 | b |
| 59.1% | 3 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 57.4% | 2 | r |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b)) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
2 calls:
| 21.0ms | a |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 3 | b |
| 68.1% | 3 | a |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
4 calls:
| 38.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 7.0ms | b |
| 7.0ms | a |
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | r |
| 49.8% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 49.8% | 1 | a |
| 54.6% | 3 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) |
1 calls:
| 27.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
2 calls:
| 5.0ms | b |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | a |
| 49.8% | 1 | b |
Compiled 2 to 6 computations (-200% saved)
Total -1.9b remaining (-4.4%)
Threshold costs -1.9b (-4.4%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
4 calls:
| 28.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 5.0ms | b |
| 5.0ms | a |
| 5.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.8% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 31.8% | 1 | r |
| 31.8% | 1 | b |
| 31.8% | 1 | a |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 3.785144243871092e-5 | 3.593390553388105 |
| 27.0ms | -1.629951495319413e+20 | -723177.477722634 |
| 27.0ms | 167× | 1 | valid |
| 10.0ms | 137× | 0 | valid |
Compiled 563 to 489 computations (13.1% saved)
ival-cos: 9.0ms (33.2% of total)ival-sin: 7.0ms (25.8% of total)ival-add: 3.0ms (11.1% of total)adjust: 3.0ms (11.1% of total)ival-div: 2.0ms (7.4% of total)ival-mult: 2.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 8.865889717822031e-7 | 19.299248969978777 |
| 17.0ms | -0.00010623333584036063 | -1.1872811217627939e-5 |
| 21.0ms | 139× | 1 | valid |
| 8.0ms | 101× | 0 | valid |
Compiled 642 to 479 computations (25.4% saved)
ival-cos: 6.0ms (32.1% of total)ival-sin: 4.0ms (21.4% of total)adjust: 3.0ms (16.1% of total)ival-add: 2.0ms (10.7% of total)ival-div: 2.0ms (10.7% of total)ival-mult: 2.0ms (10.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 8.865889717822031e-7 | 19.299248969978777 |
| 27.0ms | -17.550824942868324 | -0.00010623333584036063 |
| 26.0ms | 137× | 1 | valid |
| 12.0ms | 119× | 0 | valid |
Compiled 822 to 626 computations (23.8% saved)
ival-sin: 13.0ms (42.8% of total)ival-cos: 8.0ms (26.3% of total)adjust: 3.0ms (9.9% of total)ival-add: 2.0ms (6.6% of total)ival-div: 2.0ms (6.6% of total)ival-mult: 2.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 8.865889717822031e-7 | 19.299248969978777 |
| 6.0ms | -17.550824942868324 | -0.00010623333584036063 |
| 3.0ms | 31× | 0 | valid |
| 3.0ms | 17× | 1 | valid |
Compiled 606 to 518 computations (14.5% saved)
ival-sin: 2.0ms (44.3% of total)ival-cos: 1.0ms (22.2% of total)ival-add: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 8.865889717822031e-7 | 19.299248969978777 |
| 1.0ms | -17.550824942868324 | -0.00010623333584036063 |
| 13.0ms | 46× | 0 | valid |
| 8.0ms | 50× | 1 | valid |
Compiled 660 to 554 computations (16.1% saved)
ival-sin: 3.0ms (33.3% of total)ival-cos: 3.0ms (33.3% of total)ival-add: 1.0ms (11.1% of total)ival-div: 1.0ms (11.1% of total)adjust: 1.0ms (11.1% of total)ival-mult: 1.0ms (11.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 390 |
| 1 | 187 | 387 |
| 2 | 258 | 387 |
| 3 | 350 | 387 |
| 4 | 512 | 387 |
| 5 | 969 | 387 |
| 6 | 2223 | 387 |
| 7 | 4575 | 387 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 a #s(literal -740000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4796153459164483/73786976294838206464 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(if (<=.f64 b #s(literal -1936908127739503/18446744073709551616 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7566047373982433/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 a #s(literal -740000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4796153459164483/73786976294838206464 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(if (or (<=.f64 a #s(literal -740000 binary64)) (not (<=.f64 a #s(literal 4796153459164483/73786976294838206464 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(if (<=.f64 b #s(literal -1936908127739503/18446744073709551616 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7566047373982433/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (or (<=.f64 b #s(literal -1936908127739503/18446744073709551616 binary64)) (not (<=.f64 b #s(literal 7566047373982433/72057594037927936 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))))) |
(if (or (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (not (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))))) |
(if (or (<=.f64 b #s(literal -8782019273372467/2251799813685248 binary64)) (not (<=.f64 b #s(literal 8106479329266893/2251799813685248 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))))) |
(if (or (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (not (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 1562 |
| 1 | 1449 | 1464 |
| 2 | 5864 | 1444 |
| 0 | 8214 | 1339 |
| 0 | 68 | 404 |
| 0 | 115 | 357 |
| 1 | 427 | 340 |
| 2 | 3456 | 326 |
| 0 | 8051 | 325 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 46 | 19 |
| 2 | 266 | 19 |
| 3 | 2853 | 19 |
| 0 | 8286 | 19 |
| 0 | 31 | 157 |
| 0 | 55 | 129 |
| 1 | 184 | 129 |
| 2 | 1205 | 129 |
| 0 | 8128 | 129 |
| 0 | 606 | 2997 |
| 1 | 2294 | 2613 |
| 0 | 8873 | 2404 |
| 0 | 167 | 593 |
| 1 | 569 | 562 |
| 2 | 2016 | 518 |
| 3 | 7405 | 515 |
| 0 | 9145 | 482 |
| 0 | 50 | 222 |
| 0 | 82 | 190 |
| 1 | 295 | 187 |
| 2 | 2195 | 187 |
| 0 | 8128 | 187 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 765 to 405 computations (47.1% saved)
(negabs r)
Compiled 830 to 284 computations (65.8% saved)
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