
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.3s | 5 973× | 1 | valid |
| 162.0ms | 2 283× | 0 | valid |
ival-cos: 354.0ms (31.9% of total)ival-sin: 271.0ms (24.4% of total)ival-mult: 169.0ms (15.2% of total)adjust: 152.0ms (13.7% of total)ival-add: 85.0ms (7.7% of total)ival-div: 69.0ms (6.2% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 127 | (-1.2423408803333527e+278 -6.171822344168429e+63 3.435652740208975e-46) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 189 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 62 | 0 |
| - | 127 | 67 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 62 | 0 | 0 |
| - | 127 | 0 | 67 |
| number | freq |
|---|---|
| 0 | 67 |
| 1 | 189 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 372× | 1 | valid |
| 14.0ms | 140× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-cos: 16.0ms (29.3% of total)ival-sin: 11.0ms (20.2% of total)adjust: 10.0ms (18.3% of total)ival-div: 6.0ms (11% of total)ival-mult: 6.0ms (11% of total)ival-add: 5.0ms (9.2% 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 | 204 | 88 |
| 3 | 425 | 88 |
| 4 | 760 | 88 |
| 5 | 1600 | 88 |
| 6 | 3320 | 88 |
| 7 | 6245 | 88 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 41 | 9 |
| 3 | 64 | 9 |
| 4 | 77 | 9 |
| 5 | 79 | 9 |
| 6 | 93 | 9 |
| 7 | 126 | 9 |
| 8 | 231 | 9 |
| 9 | 571 | 9 |
| 10 | 1520 | 9 |
| 11 | 3317 | 9 |
| 12 | 6749 | 9 |
| 0 | 8021 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (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 |
|---|---|---|
| ▶ | 79.0% | (*.f64 r (/.f64 (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 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 13 | 28 |
| 1 | 24 | 28 |
| 2 | 41 | 28 |
| 3 | 64 | 28 |
| 4 | 77 | 28 |
| 5 | 79 | 28 |
| 6 | 93 | 28 |
| 7 | 126 | 28 |
| 8 | 231 | 28 |
| 9 | 571 | 28 |
| 10 | 1520 | 28 |
| 11 | 3317 | 28 |
| 12 | 6749 | 28 |
| 0 | 8021 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(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 | 0.13671875 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.300069647018017 | (cos.f64 (+.f64 a b)) |
| 32.0ms | 186× | 1 | valid |
| 6.0ms | 70× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-cos: 8.0ms (29.2% of total)ival-sin: 6.0ms (21.9% of total)adjust: 5.0ms (18.3% of total)ival-add: 4.0ms (14.6% of total)ival-mult: 3.0ms (11% of total)ival-div: 2.0ms (7.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(/ (* r (sin b)) (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))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(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)))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (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 (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | a | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 3.0ms | b | @ | -inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | b | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 832 |
| 1 | 696 | 794 |
| 2 | 2437 | 727 |
| 0 | 8298 | 692 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (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))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(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)))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (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 (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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)))) |
(/ (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)) (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 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* 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 (fma.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 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b))))) 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)))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) a (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (sin.f64 b) (cos.f64 b)))))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (+.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 b)) (cos.f64 b)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(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)) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (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 (+.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 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (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 (neg.f64 (sin.f64 a)) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (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 (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))) |
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))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 46 | 22 |
| 2 | 268 | 22 |
| 3 | 2877 | 22 |
| 0 | 8306 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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 (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 (neg.f64 (*.f64 (neg.f64 r) (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 (*.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))))) |
(neg.f64 (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (neg.f64 (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) #s(literal 0 binary64))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.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))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) b))) |
(sin.f64 (neg.f64 (neg.f64 b))) |
(sin.f64 (+.f64 (neg.f64 b) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (cos.f64 b) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 b) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (cos.f64 b) #s(literal 0 binary64))) |
(/.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 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 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)) (sin.f64 b) (*.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 (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 (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)) a) b) (/.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)) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(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)) a) b) (/.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)) a) b)) (/.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 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 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 (neg.f64 b)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(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))) a)) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) |
(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)) a) b)) (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)) a) b)) |
(-.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 (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 (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 #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 (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))) (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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(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)) a) b) (/.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)) a) b)) (/.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 b) a))) |
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a)))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b))) |
(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)) a) b) (/.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)) a) b) (/.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 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(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 (neg.f64 (neg.f64 b)) (neg.f64 a))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 b)) a)) |
(cos.f64 (-.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) |
(cos.f64 (+.f64 a (neg.f64 (neg.f64 b)))) |
(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)) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (/.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)) a) b) (/.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 (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 5 380 to 1 052 computations (80.4% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 27 | 216 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 189 | 28 | 217 |
| Status | Accuracy | Program |
|---|---|---|
| 79.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 80.1% | (*.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)))) | |
| 78.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 30.8% | (*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| 8.4% | (*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| ▶ | 8.6% | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
| 99.4% | (*.f64 r (/.f64 (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)))))))) | |
| 79.0% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 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))))))))) | |
| ▶ | 42.4% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
| 40.9% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) | |
| 78.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64))))) | |
| ✓ | 79.0% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| ▶ | 54.4% | (*.f64 r (/.f64 (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))))) |
| 59.2% | (*.f64 r (/.f64 (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))))) | |
| 59.8% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))) | |
| 55.8% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))) | |
| 62.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 57.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| 9.6% | (*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b)))) | |
| 78.9% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 58.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))) | |
| 53.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| 53.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))) | |
| 53.8% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)) | |
| ▶ | 53.9% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 62.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
Compiled 1 143 to 762 computations (33.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (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)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (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))))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| cost-diff | 4 | (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) | |
| cost-diff | 0 | (neg.f64 (+.f64 (PI.f64) b)) | |
| cost-diff | 0 | (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 3 | (sin.f64 (neg.f64 (+.f64 (PI.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 (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 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 302 |
| 0 | 79 | 299 |
| 1 | 135 | 297 |
| 2 | 223 | 293 |
| 3 | 404 | 281 |
| 4 | 854 | 281 |
| 5 | 2071 | 281 |
| 6 | 4509 | 281 |
| 0 | 8259 | 281 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(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) |
#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 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) b))) |
(neg.f64 (+.f64 (PI.f64) b)) |
(+.f64 (PI.f64) b) |
(PI.f64) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
r |
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) |
(sin.f64 b) |
b |
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) |
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(neg.f64 b) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(*.f64 r (/.f64 (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))))) |
r |
(/.f64 (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)))) |
(sin.f64 b) |
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))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) |
(*.f64 (cos.f64 a) #s(literal -1/2 binary64)) |
(cos.f64 a) |
a |
#s(literal -1/2 binary64) |
(sin.f64 a) |
| Outputs |
|---|
(*.f64 r (/.f64 (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 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(sin.f64 b) |
b |
(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))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(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 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) b))) |
(sin.f64 b) |
(neg.f64 (+.f64 (PI.f64) b)) |
(+.f64 (PI.f64) b) |
(PI.f64) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a))) |
r |
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))) |
(sin.f64 b) |
b |
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a) |
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) a) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) |
(neg.f64 b) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(*.f64 r (/.f64 (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 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))) |
r |
(/.f64 (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 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))) |
(sin.f64 b) |
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))) |
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) |
(-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) |
(*.f64 (cos.f64 a) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 a)) |
(cos.f64 a) |
a |
#s(literal -1/2 binary64) |
(sin.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 r (/.f64 (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))))) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) | |
| accuracy | 0.203125 | (/.f64 (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)))) | |
| accuracy | 29.519282964000812 | #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))) | |
| accuracy | 0.01171875 | (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| accuracy | 0.13671875 | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) | |
| accuracy | 41.43394716611497 | (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) | |
| accuracy | 0.13671875 | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.300069647018017 | (cos.f64 (+.f64 a b)) | |
| accuracy | 59.782589045884414 | (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) | |
| accuracy | 0.00390625 | (cos.f64 a) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| accuracy | 0.1328125 | (/.f64 r (cos.f64 a)) | |
| accuracy | 29.438426832392764 | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| accuracy | 0.11851503907376806 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) | |
| accuracy | 0.13671875 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| accuracy | 0.21484375 | (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
| 206.0ms | 197× | 1 | valid |
| 104.0ms | 57× | 2 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 259 to 41 computations (84.2% saved)
ival-sin: 70.0ms (34.2% of total)adjust: 36.0ms (17.6% of total)ival-mult: 30.0ms (14.7% of total)ival-cos: 27.0ms (13.2% of total)ival-div: 17.0ms (8.3% of total)ival-add: 12.0ms (5.9% of total)ival-sub: 5.0ms (2.4% of total)ival-neg: 5.0ms (2.4% of total)ival-pi: 2.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
#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) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) b))) |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))) |
(neg.f64 (+.f64 (PI.f64) b)) |
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) |
(*.f64 r (/.f64 (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 (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)))) |
#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 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ 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))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(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 (sin (neg (+ b (PI))))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(/ (sin (neg (+ b (PI)))) (cos b)) |
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (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 (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(/ (sin b) (sin (- (* 1/2 (PI)) b))) |
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) 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 (* 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))))))))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(/ (sin (neg (+ b (PI)))) (cos (+ a b))) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(* -1/2 (* b (cos a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a)))) |
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a)))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(/ (sin b) (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 (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(sin (neg (PI))) |
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI)))))) |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI)))))))) |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI)))))))))) |
(/ (* r (sin (neg (PI)))) (cos a)) |
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(/ (sin (neg (PI))) (cos a)) |
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(* -1 (PI)) |
(- (* -1 b) (PI)) |
(sin (- (* 1/2 (PI)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(/ b (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* 1/2 (PI)) |
(+ (* -1 b) (* 1/2 (PI))) |
(sin b) |
(sin (neg (+ b (PI)))) |
(* -1 b) |
(* b (- (* -1 (/ (PI) b)) 1)) |
(* b (- (* 1/2 (/ (PI) b)) 1)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(sin (- (* -1 b) (PI))) |
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b)))) |
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b)))) |
(* -1 (* b (+ 1 (/ (PI) b)))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | b | @ | 0 | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 10.0ms | r | @ | 0 | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 10.0ms | a | @ | inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 9.0ms | r | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 8.0ms | a | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 725 | 3841 |
| 1 | 2440 | 3463 |
| 0 | 9010 | 3292 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ 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))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(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 (sin (neg (+ b (PI))))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(/ (sin (neg (+ b (PI)))) (cos b)) |
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (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 (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(/ (sin b) (sin (- (* 1/2 (PI)) b))) |
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) 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 (* 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))))))))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(/ (sin (neg (+ b (PI)))) (cos (+ a b))) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(* -1/2 (* b (cos a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a)))) |
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a)))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(/ (sin b) (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 (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(sin (neg (PI))) |
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI)))))) |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI)))))))) |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI)))))))))) |
(/ (* r (sin (neg (PI)))) (cos a)) |
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(/ (sin (neg (PI))) (cos a)) |
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(* -1 (PI)) |
(- (* -1 b) (PI)) |
(sin (- (* 1/2 (PI)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(/ b (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* 1/2 (PI)) |
(+ (* -1 b) (* 1/2 (PI))) |
(sin b) |
(sin (neg (+ b (PI)))) |
(* -1 b) |
(* b (- (* -1 (/ (PI) b)) 1)) |
(* b (- (* 1/2 (/ (PI) b)) 1)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(sin (- (* -1 b) (PI))) |
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b)))) |
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b)))) |
(* -1 (* b (+ 1 (/ (PI) b)))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b))))) |
| 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)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))) |
(/ (* 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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (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 a #s(literal -1/2 binary64)) (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 #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 #s(literal 1/2 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 (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 #s(literal 1/2 binary64) (*.f64 b r))) (*.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) |
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1 |
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(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (*.f64 (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(/ b (sin (- (* 1/2 (PI)) a))) |
(/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(*.f64 (fma.f64 b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(+ (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)) |
(* -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 #s(literal -1/120 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))) (*.f64 b b) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(* 1/2 (PI)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(+ (* -1 b) (* 1/2 (PI))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(sin b) |
(sin.f64 b) |
(sin (neg (+ b (PI)))) |
(neg.f64 (neg.f64 (sin.f64 b))) |
(* -1 b) |
(neg.f64 b) |
(* b (- (* -1 (/ (PI) b)) 1)) |
(*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) #s(literal 1 binary64)) b) |
(* b (- (* 1/2 (/ (PI) b)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(sin (- (* -1 b) (PI))) |
(neg.f64 (neg.f64 (sin.f64 b))) |
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(* -1 (* b (+ 1 (/ (PI) b)))) |
(neg.f64 (fma.f64 (/.f64 (PI.f64) b) b b)) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))) |
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 221 |
| 0 | 79 | 194 |
| 1 | 258 | 193 |
| 2 | 1852 | 181 |
| 0 | 8172 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
#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) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) b))) |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))) |
(neg.f64 (+.f64 (PI.f64) b)) |
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) |
(*.f64 r (/.f64 (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 (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)))) |
#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 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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 (*.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 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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 (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(neg.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(sin.f64 b) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))) |
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
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(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 b)) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (neg.f64 b)) |
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(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 (PI.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 (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #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 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #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 (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))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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)))) |
(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 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(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 a)) (sin.f64 b) (*.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 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 a) b) (/.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 (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))) b)) |
(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 (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)) a) b)) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) |
(sin.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (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))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(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 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 a)) b)) |
(cos.f64 (+.f64 b (neg.f64 (neg.f64 a)))) |
(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))) (+.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 b (neg.f64 a))) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #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 a b)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(/.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)) (neg.f64 b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 b)) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b))) (/.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)) (neg.f64 b)) (*.f64 b b)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) |
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b)) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) |
Compiled 12 891 to 2 348 computations (81.8% saved)
57 alts after pruning (54 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 42 | 458 |
| Fresh | 10 | 12 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 429 | 57 | 486 |
| Status | Accuracy | Program |
|---|---|---|
| 79.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 54.4% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))) | |
| 80.1% | (*.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)))) | |
| 78.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 10.0% | (*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b)))) | |
| 30.8% | (*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| ▶ | 8.4% | (*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
| 44.1% | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (PI.f64)))) (cos.f64 (+.f64 a b)))) | |
| ✓ | 8.6% | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
| 18.7% | (*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
| 56.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)))))) | |
| 57.1% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))) | |
| 59.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))) | |
| ▶ | 66.6% | (*.f64 r (/.f64 (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)))))) |
| 63.1% | (*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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)))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))))) | |
| 79.0% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 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))))))))) | |
| 41.2% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)))) | |
| 41.0% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) | |
| 55.8% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 59.8% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 62.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b)))) | |
| 41.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) | |
| 54.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))) | |
| 57.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| 9.6% | (*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) | |
| ▶ | 53.4% | (*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
| 54.2% | (*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| 37.3% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| 37.5% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| 53.3% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) | |
| 37.4% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| 53.6% | (*.f64 r (/.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) | |
| 78.9% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 18.1% | (*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) | |
| 53.9% | (*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) | |
| 37.7% | (*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) | |
| 58.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))) | |
| 53.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))) | |
| 99.5% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 62.2% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) | |
| 42.4% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) | |
| 41.7% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) | |
| 37.7% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) | |
| 53.9% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 37.4% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) | |
| ✓ | 53.9% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 36.1% | #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)) | |
| 36.0% | #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)) | |
| 36.0% | #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)) | |
| 62.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 28.2% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (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)) b)) | |
| 29.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) | |
| ▶ | 37.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 2 724 to 1 933 computations (29% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (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))))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (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)))))) | |
| cost-diff | 0 | (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (PI.f64)) | |
| cost-diff | 2 | (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) | |
| cost-diff | 0 | (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 1 | (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) | |
| cost-diff | 3 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 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 | (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 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (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 | 53 | 320 |
| 0 | 86 | 305 |
| 1 | 151 | 302 |
| 2 | 262 | 292 |
| 3 | 581 | 288 |
| 4 | 1240 | 287 |
| 5 | 3157 | 287 |
| 6 | 7474 | 287 |
| 0 | 8051 | 283 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(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)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))) |
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) |
#s(literal -1/6 binary64) |
b |
#s(literal 0 binary64) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))) |
(sin.f64 (+.f64 (neg.f64 b) (PI.f64))) |
(+.f64 (neg.f64 b) (PI.f64)) |
(neg.f64 b) |
b |
(PI.f64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (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)))))) |
r |
(/.f64 (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))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(neg.f64 a) |
| Outputs |
|---|
(*.f64 r (/.f64 (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)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(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)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin (neg (+ (PI) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) |
r |
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) |
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) |
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) b) b #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) |
(*.f64 #s(literal -1/6 binary64) b) |
#s(literal -1/6 binary64) |
b |
#s(literal 0 binary64) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 (+.f64 (neg.f64 b) (PI.f64))) |
(sin.f64 b) |
(+.f64 (neg.f64 b) (PI.f64)) |
(-.f64 (PI.f64) b) |
(neg.f64 b) |
b |
(PI.f64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (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 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
r |
(/.f64 (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 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(neg.f64 a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11851503907376806 | (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))) | |
| accuracy | 0.13671875 | (*.f64 r (/.f64 (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)))))) | |
| accuracy | 0.203125 | (/.f64 (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))))) | |
| accuracy | 31.101029711544715 | #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))) | |
| accuracy | 0.13671875 | (*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.300069647018017 | (cos.f64 (+.f64 a b)) | |
| accuracy | 59.90426780725185 | (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) | |
| accuracy | 0.203125 | (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.296875 | (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) | |
| accuracy | 13.300069647018017 | (cos.f64 (+.f64 a b)) | |
| accuracy | 29.598441873188246 | #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) | |
| accuracy | 0.0 | (*.f64 b r) | |
| accuracy | 22.455729770484574 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| accuracy | 29.438426832392764 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| accuracy | 0.0703125 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.11851503907376808 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.13671875 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 249.0ms | 197× | 1 | valid |
| 130.0ms | 57× | 2 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 262 to 48 computations (81.7% saved)
ival-sin: 147.0ms (43.5% of total)ival-div: 40.0ms (11.8% of total)adjust: 40.0ms (11.8% of total)ival-mult: 37.0ms (11% of total)ival-cos: 34.0ms (10.1% of total)ival-add: 18.0ms (5.3% of total)const: 14.0ms (4.1% of total)ival-neg: 6.0ms (1.8% of total)ival-pi: 2.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(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)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))) |
(sin.f64 (+.f64 (neg.f64 b) (PI.f64))) |
(+.f64 (neg.f64 b) (PI.f64)) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (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 (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))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) |
(cos.f64 (+.f64 a b)) |
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b))) |
(/ (* r (sin (- (PI) b))) (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))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* 1/2 (* (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 (sin (neg (+ b (PI))))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(/ (sin (neg (+ b (PI)))) (cos b)) |
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(/ (* r (sin (- (PI) b))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(/ (sin (- (PI) b)) (cos b)) |
(+ (/ (sin (- (PI) b)) (cos b)) (/ (* a (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+ (cos 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 (* 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))))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (sin (neg (+ b (PI)))) (cos (+ a b))) |
(/ (sin (- (PI) b)) (cos (+ a b))) |
(* (cos a) (cos b)) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a)))) |
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a)))) |
(/ (* r (sin (- (PI) b))) (cos (- b (* -1 a)))) |
(/ (sin (- (PI) b)) (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 (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* -1/6 b) |
(/ (* r (sin (neg (PI)))) (cos a)) |
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(/ (sin (neg (PI))) (cos a)) |
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(sin (PI)) |
(+ (sin (PI)) (* -1 (* b (cos (PI))))) |
(+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* -1/2 (* b (sin (PI))))))) |
(+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* b (+ (* -1/2 (sin (PI))) (* 1/6 (* b (cos (PI))))))))) |
(PI) |
(+ (PI) (* -1 b)) |
(/ (* r (sin (PI))) (cos a)) |
(+ (* b (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(/ (sin (PI)) (cos a)) |
(+ (* b (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (PI)) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(sin (neg (PI))) |
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI)))))) |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI)))))))) |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI)))))))))) |
(+ (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)))) |
(* -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) |
(* -1/6 (pow b 3)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(sin (- (PI) b)) |
(* -1 b) |
(* b (- (/ (PI) b) 1)) |
(sin (neg (+ b (PI)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b)))) |
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b)))) |
(sin (+ (PI) (* -1 b))) |
(* -1 (* b (+ 1 (* -1 (/ (PI) b))))) |
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b)))) |
(/ (sin (+ (PI) (* -1 b))) (cos (- a (* -1 b)))) |
(sin (- (* -1 b) (PI))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | a | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b))) |
| 6.0ms | r | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b))) |
| 6.0ms | b | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b))) |
| 5.0ms | b | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b))) |
| 5.0ms | r | @ | 0 | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 666 | 3250 |
| 1 | 2335 | 2538 |
| 0 | 8521 | 2377 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b))) |
(/ (* r (sin (- (PI) b))) (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))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* 1/2 (* (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 (sin (neg (+ b (PI))))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(/ (sin (neg (+ b (PI)))) (cos b)) |
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(/ (* r (sin (- (PI) b))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(/ (sin (- (PI) b)) (cos b)) |
(+ (/ (sin (- (PI) b)) (cos b)) (/ (* a (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+ (cos 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 (* 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))))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (sin (neg (+ b (PI)))) (cos (+ a b))) |
(/ (sin (- (PI) b)) (cos (+ a b))) |
(* (cos a) (cos b)) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a)))) |
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a)))) |
(/ (* r (sin (- (PI) b))) (cos (- b (* -1 a)))) |
(/ (sin (- (PI) b)) (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 (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* -1/6 b) |
(/ (* r (sin (neg (PI)))) (cos a)) |
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a))) |
(/ (sin (neg (PI))) (cos a)) |
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a))) |
(sin (PI)) |
(+ (sin (PI)) (* -1 (* b (cos (PI))))) |
(+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* -1/2 (* b (sin (PI))))))) |
(+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* b (+ (* -1/2 (sin (PI))) (* 1/6 (* b (cos (PI))))))))) |
(PI) |
(+ (PI) (* -1 b)) |
(/ (* r (sin (PI))) (cos a)) |
(+ (* b (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(/ (sin (PI)) (cos a)) |
(+ (* b (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (PI)) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(sin (neg (PI))) |
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI)))))) |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI)))))))) |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI)))))))))) |
(+ (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)))) |
(* -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) |
(* -1/6 (pow b 3)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(sin (- (PI) b)) |
(* -1 b) |
(* b (- (/ (PI) b) 1)) |
(sin (neg (+ b (PI)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b)))) |
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b)))) |
(sin (+ (PI) (* -1 b))) |
(* -1 (* b (+ 1 (* -1 (/ (PI) b))))) |
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b)))) |
(/ (sin (+ (PI) (* -1 b))) (cos (- a (* -1 b)))) |
(sin (- (* -1 b) (PI))) |
(cos (- a (* -1 b))) |
| 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)) (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) |
(* b r) |
(*.f64 b r) |
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin (- (PI) b))) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) 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))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 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 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.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)))) |
(+ (* 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 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (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 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) 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)))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (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) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (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 a #s(literal -1/2 binary64)) (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)) |
(+ (* 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 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b r) #s(literal -5/24 binary64)))) (*.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) b) r (*.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 a a) (*.f64 b r)) |
(/ (* r (sin (neg (+ b (PI))))) (cos b)) |
(*.f64 (sin.f64 (-.f64 (PI.f64) b)) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(fma.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 (-.f64 (PI.f64) b)) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.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 (-.f64 (PI.f64) b)) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (neg.f64 (neg.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 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 (neg.f64 (neg.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 (-.f64 (PI.f64) b)) (/.f64 r (cos.f64 b)))) |
(/ (sin (neg (+ b (PI)))) (cos b)) |
(/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) |
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))) |
(/ (* r (sin (- (PI) b))) (cos b)) |
(*.f64 (sin.f64 (-.f64 (PI.f64) b)) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b))) |
(fma.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 (-.f64 (PI.f64) b)) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.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 (-.f64 (PI.f64) b)) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (neg.f64 (neg.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 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (*.f64 (neg.f64 (neg.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 (-.f64 (PI.f64) b)) (/.f64 r (cos.f64 b)))) |
(/ (sin (- (PI) b)) (cos b)) |
(/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) |
(+ (/ (sin (- (PI) b)) (cos b)) (/ (* a (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))) |
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(+ (* b (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 b (cos.f64 a)) #s(literal 0 binary64))) |
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 b (cos.f64 a)) #s(literal 0 binary64)) (sin.f64 a) #s(literal 1 binary64)) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)) |
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (PI)) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) #s(literal 0 binary64)) #s(literal 0 binary64)))) b (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (sin.f64 a) #s(literal 0 binary64)) (cos.f64 a))) b (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64))) b #s(literal 0 binary64)) |
(+ (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)) |
(sin (neg (PI))) |
#s(literal 0 binary64) |
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI)))))) |
b |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI)))))))) |
b |
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI)))))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(+ (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)) |
(* -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 #s(literal -1/120 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))) (*.f64 b b) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(sin b) |
(sin.f64 b) |
(* -1/6 (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(sin (- (PI) b)) |
(sin.f64 (-.f64 (PI.f64) b)) |
(* -1 b) |
(neg.f64 b) |
(* b (- (/ (PI) b) 1)) |
(*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b) |
(sin (neg (+ b (PI)))) |
(sin.f64 (-.f64 (PI.f64) b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))) |
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b)))) |
(*.f64 (sin.f64 (-.f64 (neg.f64 b) (PI.f64))) (/.f64 r (cos.f64 (+.f64 a b)))) |
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 (-.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))) |
(sin (+ (PI) (* -1 b))) |
(sin.f64 (-.f64 (PI.f64) b)) |
(* -1 (* b (+ 1 (* -1 (/ (PI) b))))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))) |
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b))) |
(/ (sin (+ (PI) (* -1 b))) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 (+.f64 a b))) |
(sin (- (* -1 b) (PI))) |
(sin.f64 (-.f64 (neg.f64 b) (PI.f64))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 261 |
| 0 | 86 | 266 |
| 1 | 283 | 221 |
| 2 | 1974 | 221 |
| 0 | 8749 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(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)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))) |
(sin.f64 (+.f64 (neg.f64 b) (PI.f64))) |
(+.f64 (neg.f64 b) (PI.f64)) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (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 (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))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) |
(cos.f64 (+.f64 a b)) |
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.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 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (*.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 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(+.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (cos.f64 (+.f64 a b)))) |
(sin.f64 b) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.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 (neg.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 (neg.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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (fma.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 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.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 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
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(/.f64 (+.f64 (cos.f64 (+.f64 (neg.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))) |
#s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.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 (neg.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 (neg.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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (fma.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 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.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 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.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 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.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 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #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 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.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 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal -4 binary64)) |
(/.f64 (fma.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 (neg.f64 a) b))))) #s(literal -4 binary64)) |
(/.f64 (fma.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 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal -4 binary64)) |
(/.f64 (fma.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 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 (neg.f64 a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 (neg.f64 a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 (neg.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 (neg.f64 a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 (neg.f64 a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal 4 binary64)) |
(/.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)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.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)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (neg.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 (+.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 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 a) b))) |
(/.f64 (-.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))) (cos.f64 (-.f64 a b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (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 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (neg.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 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)))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(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 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(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 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a 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 (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 (cos.f64 a) (cos.f64 b))) |
(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 (cos.f64 a) (cos.f64 b))) |
(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 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (/.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 b (neg.f64 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 a (neg.f64 b)) (/.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)) a) 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)) |
(sin.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.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 (neg.f64 (neg.f64 (sin.f64 a))) (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 (sin.f64 a) (sin.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 (neg.f64 (-.f64 a (neg.f64 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)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #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 a b)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (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 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))) |
Compiled 15 386 to 2 504 computations (83.7% saved)
70 alts after pruning (64 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 29 | 509 |
| Fresh | 14 | 35 | 49 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 496 | 70 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| 66.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 79.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 54.4% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))) | |
| 53.4% | (/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) | |
| 80.1% | (*.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)))) | |
| 78.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 79.0% | (*.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)))) | |
| 78.9% | (*.f64 r (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))) | |
| 46.4% | (*.f64 r (/.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) (cos.f64 (+.f64 a b)))) | |
| 64.6% | (*.f64 r (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b)))) | |
| 8.2% | (*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) | |
| 9.7% | (*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (cos.f64 (+.f64 a b)))) | |
| 8.3% | (*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| 30.8% | (*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| ▶ | 44.1% | (*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
| 30.6% | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b)))) | |
| ✓ | 8.6% | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
| 8.4% | (*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) | |
| 18.7% | (*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| ▶ | 54.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
| 56.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)))))) | |
| 57.1% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))) | |
| 59.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))) | |
| ✓ | 66.6% | (*.f64 r (/.f64 (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)))))) |
| 63.1% | (*.f64 r (/.f64 (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))))) | |
| 79.7% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.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 (neg.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 (neg.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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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)))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))))) | |
| 41.2% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)))) | |
| 41.0% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) | |
| 55.8% | (*.f64 r (/.f64 (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))))) | |
| 59.8% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 62.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| 57.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) | |
| 41.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) | |
| 54.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))) | |
| 9.6% | (*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) | |
| 54.2% | (*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) | |
| 11.5% | (*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b)))) | |
| ▶ | 37.3% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
| 37.5% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| 53.3% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) | |
| 37.4% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| 53.6% | (*.f64 r (/.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) | |
| 78.9% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 7.8% | (*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)))) | |
| 53.9% | (*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) | |
| 37.7% | (*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) | |
| 58.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))) | |
| 53.9% | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) | |
| 8.4% | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b)))) | |
| ▶ | 18.1% | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
| ▶ | 99.5% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 62.1% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 62.2% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) | |
| 42.4% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) | |
| 41.7% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) | |
| 37.7% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) | |
| 53.9% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 37.4% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) | |
| ✓ | 53.9% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 36.1% | #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)) | |
| 36.0% | #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)) | |
| 36.0% | #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)) | |
| 28.2% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (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)) b)) | |
| 29.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) | |
| ✓ | 37.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 3 450 to 2 389 computations (30.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) | |
| cost-diff | 0 | (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 1 | (+.f64 (PI.f64) (neg.f64 b)) | |
| cost-diff | 5 | (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) | |
| cost-diff | 0 | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| cost-diff | 2 | (*.f64 b (*.f64 b b)) | |
| cost-diff | 3 | (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) | |
| cost-diff | 0 | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 469 |
| 0 | 113 | 449 |
| 1 | 196 | 435 |
| 2 | 379 | 435 |
| 3 | 953 | 423 |
| 4 | 2300 | 423 |
| 5 | 4538 | 420 |
| 0 | 8020 | 420 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.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 b) (cos.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.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 (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
r |
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) |
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) |
(fma.f64 (*.f64 b (*.f64 b b)) (-.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) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(-.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)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) |
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(neg.f64 b) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) |
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)) |
(neg.f64 (+.f64 (PI.f64) (neg.f64 b))) |
(+.f64 (PI.f64) (neg.f64 b)) |
(PI.f64) |
(neg.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 a) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.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 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.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 (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 (/.f64 r (cos.f64 (-.f64 (neg.f64 b) a))) #s(approx (sin b) (fma.f64 (-.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)) (pow.f64 b #s(literal 3 binary64)) b))) |
r |
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) |
(/.f64 #s(approx (sin b) (fma.f64 (-.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)) (pow.f64 b #s(literal 3 binary64)) b)) (cos.f64 (-.f64 (neg.f64 b) a))) |
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) |
#s(approx (sin b) (fma.f64 (-.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)) (pow.f64 b #s(literal 3 binary64)) b)) |
(fma.f64 (*.f64 b (*.f64 b b)) (-.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) |
(fma.f64 (-.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)) (pow.f64 b #s(literal 3 binary64)) b) |
(*.f64 b (*.f64 b b)) |
(pow.f64 b #s(literal 3 binary64)) |
b |
(*.f64 b b) |
(-.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)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a) |
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) |
(neg.f64 b) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
r |
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) |
(sin.f64 b) |
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)) |
(+.f64 (+.f64 (neg.f64 (PI.f64)) (PI.f64)) b) |
(neg.f64 (+.f64 (PI.f64) (neg.f64 b))) |
(neg.f64 (-.f64 (PI.f64) b)) |
(+.f64 (PI.f64) (neg.f64 b)) |
(-.f64 (PI.f64) b) |
(PI.f64) |
(neg.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 a) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11851503907376808 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))) | |
| accuracy | 0.13671875 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))) | |
| accuracy | 29.505821066852594 | #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))) | |
| accuracy | 0.13671875 | (*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.300069647018017 | (cos.f64 (+.f64 a b)) | |
| accuracy | 31.217018591244553 | (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)) | |
| accuracy | 0.203125 | (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) | |
| accuracy | 0.46571421286943904 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) | |
| accuracy | 29.502533022467976 | #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) | |
| accuracy | 41.43394716611497 | (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) | |
| accuracy | 52.38491218880359 | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) | |
| accuracy | 0.0703125 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.11851503907376808 | (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.1328125 | (*.f64 (sin.f64 b) r) | |
| accuracy | 0.234375 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 268.0ms | 217× | 1 | valid |
| 69.0ms | 37× | 2 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 365 to 59 computations (83.8% saved)
ival-sin: 69.0ms (23.9% of total)adjust: 63.0ms (21.9% of total)ival-mult: 48.0ms (16.6% of total)ival-cos: 29.0ms (10.1% of total)ival-add: 25.0ms (8.7% of total)ival-div: 22.0ms (7.6% of total)const: 14.0ms (4.9% of total)ival-sub: 10.0ms (3.5% of total)ival-neg: 5.0ms (1.7% of total)ival-pi: 2.0ms (0.7% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.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 b) (cos.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) |
(*.f64 b (*.f64 b b)) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) |
(+.f64 (PI.f64) (neg.f64 b)) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) |
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)) |
(cos.f64 (+.f64 a b)) |
#s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin (- (PI) b))) (cos (+ a b))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/ (* r (sin b)) (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))) |
(/ (* r (sin (- (PI) b))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (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 (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(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)))))))) |
(+ (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))))))) |
(/ (sin b) (sin (- (* 1/2 (PI)) b))) |
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) 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)))) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (cos a) (cos b)) |
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b)))) |
(cos (+ a b)) |
(/ (* r (sin (- (PI) b))) (cos (- b (* -1 a)))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(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)))) |
(/ (* r (sin (PI))) (cos a)) |
(+ (* b (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(sin (- (* 1/2 (PI)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(pow b 3) |
(* 1/2 (PI)) |
(+ (* -1 b) (* 1/2 (PI))) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(PI) |
(+ (PI) (* -1 b)) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (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))))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow b 2))) |
(/ b (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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) |
(* -1 b) |
(* b (- (* 1/2 (/ (PI) b)) 1)) |
(* b (- (/ (PI) b) 1)) |
(* -1/5040 (pow b 2)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b)))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b))))) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(sin (neg (* -1 b))) |
(* -1 (* b (+ 1 (* -1 (/ (PI) b))))) |
(/ (* r (sin (neg (* -1 b)))) (cos (- a (* -1 b)))) |
(/ (sin (neg (* -1 b))) (cos (- a (* -1 b)))) |
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | r | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a))) |
| 10.0ms | b | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a))) |
| 5.0ms | r | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a))) |
| 4.0ms | r | @ | 0 | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a))) |
| 4.0ms | b | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 578 | 3019 |
| 1 | 1950 | 2744 |
| 2 | 7470 | 2726 |
| 0 | 8080 | 2597 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin (- (PI) b))) (cos (+ a b))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/ (* r (sin b)) (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))) |
(/ (* r (sin (- (PI) b))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (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 (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(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)))))))) |
(+ (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))))))) |
(/ (sin b) (sin (- (* 1/2 (PI)) b))) |
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) 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)))) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (cos a) (cos b)) |
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b)))) |
(cos (+ a b)) |
(/ (* r (sin (- (PI) b))) (cos (- b (* -1 a)))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(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)))) |
(/ (* r (sin (PI))) (cos a)) |
(+ (* b (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a))) |
(sin (- (* 1/2 (PI)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(pow b 3) |
(* 1/2 (PI)) |
(+ (* -1 b) (* 1/2 (PI))) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(PI) |
(+ (PI) (* -1 b)) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (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))))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow b 2))) |
(/ b (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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) |
(* -1 b) |
(* b (- (* 1/2 (/ (PI) b)) 1)) |
(* b (- (/ (PI) b) 1)) |
(* -1/5040 (pow b 2)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b)))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b))))) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(sin (neg (* -1 b))) |
(* -1 (* b (+ 1 (* -1 (/ (PI) b))))) |
(/ (* r (sin (neg (* -1 b)))) (cos (- a (* -1 b)))) |
(/ (sin (neg (* -1 b))) (cos (- a (* -1 b)))) |
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(cos (- a (* -1 b))) |
| 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 a) (cos.f64 b)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin (- (PI) b))) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos b)) |
(*.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 (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 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.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)))) |
(+ (* 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 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (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 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) 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)))) |
(/ (* r (sin (- (PI) b))) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) 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) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) 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 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.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)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) 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 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (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 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) 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)))) |
(sin (- (* 1/2 (PI)) b)) |
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(fma.f64 (fma.f64 (*.f64 r (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64))) (*.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
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#s(literal 0 binary64) |
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(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(fma.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* 1/2 (PI)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(+ (* -1 b) (* 1/2 (PI))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b r)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64))))) b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64))))) (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64)))))) b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(PI) |
(PI.f64) |
(+ (PI) (* -1 b)) |
(-.f64 (PI.f64) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(cos a) |
(cos.f64 a) |
(+ (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 b #s(literal -1/2 binary64)) (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)) |
(+ (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 #s(literal 1/24 binary64) (*.f64 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 #s(literal -1/720 binary64) (*.f64 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)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow b 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
(/ b (sin (- (* 1/2 (PI)) a))) |
(/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) b) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.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)) |
(sin b) |
(sin.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* b (- (* 1/2 (/ (PI) b)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b) |
(* b (- (/ (PI) b) 1)) |
(*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b) |
(* -1/5040 (pow b 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 b b)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) b) b) |
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))) |
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))) |
(sin (neg (* -1 b))) |
(sin.f64 b) |
(* -1 (* b (+ 1 (* -1 (/ (PI) b))))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))) |
(/ (* r (sin (neg (* -1 b)))) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin (neg (* -1 b))) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 337 |
| 0 | 113 | 330 |
| 1 | 398 | 263 |
| 2 | 2718 | 263 |
| 0 | 8490 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.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 b) (cos.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) |
(*.f64 b (*.f64 b b)) |
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) |
(+.f64 (PI.f64) (neg.f64 b)) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) |
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)) |
(cos.f64 (+.f64 a b)) |
#s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) |
(*.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 (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)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 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) (neg.f64 (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)) |
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) r (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) r)) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) r (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) r)) |
(fma.f64 r (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 r (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))))) |
(fma.f64 r (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 r (*.f64 #s(literal 0 binary64) (cos.f64 b)))) |
(+.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) r) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) r)) |
(+.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) r) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) r)) |
(+.f64 (*.f64 r (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 r (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))))) |
(+.f64 (*.f64 r (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 r (*.f64 #s(literal 0 binary64) (cos.f64 b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))))) (sin.f64 b)) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (neg.f64 (cos.f64 b)) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))))))) |
(neg.f64 (neg.f64 (sin.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(fma.f64 (sin.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64)))) (cos.f64 b) (*.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64)))) (sin.f64 b))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (neg.f64 (PI.f64)) b)) (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (neg.f64 (PI.f64)) b)) (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (neg.f64 (PI.f64)) b)) (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (neg.f64 (PI.f64)) b)) (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64))))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 b)) (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 b)) (*.f64 b b)))) (*.f64 (cos.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 b)) (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 b)) (*.f64 b b)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cos.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (sin.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (-.f64 b (PI.f64))) (*.f64 #s(literal -1 binary64) (sin.f64 (-.f64 b (PI.f64))))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 b) (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)))) |
(fma.f64 (neg.f64 (cos.f64 b)) #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)))) |
(fma.f64 (cos.f64 b) #s(literal 0 binary64) (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 b) #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))) b)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))) b) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 b (PI.f64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))) b)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))) b) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (neg.f64 (PI.f64)) b))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (neg.f64 b) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (PI.f64)) (-.f64 b (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))) b)) |
(sin.f64 (+.f64 (PI.f64) (neg.f64 b))) |
(sin.f64 b) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64)) (+.f64 (neg.f64 (PI.f64)) (-.f64 b (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (neg.f64 (PI.f64)) (-.f64 b (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64)) (+.f64 (neg.f64 (PI.f64)) (-.f64 b (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (neg.f64 (PI.f64)) (-.f64 b (PI.f64))))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (neg.f64 b) (PI.f64))))) (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (neg.f64 b) (PI.f64)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (neg.f64 b)))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 (PI.f64) (neg.f64 b))))) (*.f64 (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (neg.f64 b)))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 (PI.f64) (neg.f64 b)))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b)))) (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)) (neg.f64 b)) (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b)))) (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)) (neg.f64 b)) (*.f64 b b)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))) b) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 b (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64)))) (cos.f64 b)) (*.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64)))) (sin.f64 b))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (neg.f64 (PI.f64)) b)) (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (neg.f64 (PI.f64)) b)) (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (neg.f64 (PI.f64)) b)) (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (neg.f64 (PI.f64)) b)) (pow.f64 (+.f64 (neg.f64 (PI.f64)) b) #s(literal 2 binary64))))))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (neg.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.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 (neg.f64 (neg.f64 (sin.f64 a))) (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 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
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(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b))))) |
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(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))) |
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(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b)))) |
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(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 b (fabs.f64 b)) (fabs.f64 b)) |
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(*.f64 (*.f64 b b) b) |
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(pow.f64 b #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
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(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 (neg.f64 (PI.f64)) b)) |
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (+.f64 b (PI.f64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (+.f64 (neg.f64 (PI.f64)) b)) |
(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 b (PI.f64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (+.f64 (neg.f64 (PI.f64)) b)) |
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(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (+.f64 (neg.f64 (PI.f64)) b)) |
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(+.f64 (neg.f64 (PI.f64)) (+.f64 b (PI.f64))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 a) b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (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 (neg.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 a)) (sin.f64 b)) (*.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))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (neg.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 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (neg.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 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)))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(/.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))) |
(/.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))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) |
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b) (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 b)))) |
(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 b)) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (*.f64 (cos.f64 b) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (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 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (neg.f64 b) a)))) |
(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 (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 (cos.f64 a) (cos.f64 b))) |
(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 (cos.f64 a) (cos.f64 b))) |
(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 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.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 a) b) (/.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (neg.f64 a) (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))) |
(sin.f64 (-.f64 (neg.f64 (+.f64 (neg.f64 (PI.f64)) b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(sin.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(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)) (neg.f64 b)) (neg.f64 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)) |
(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 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) (cos.f64 (/.f64 (*.f64 a a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 3 binary64)) (fma.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 3 binary64)) (fma.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64))))))) |
(-.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 (neg.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.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 (neg.f64 (neg.f64 (sin.f64 a))) (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 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) |
(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)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b)) (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 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 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (neg.f64 b) a)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (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 (neg.f64 a) b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (*.f64 (cos.f64 b) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) |
(+.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 a)) (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
#s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))) |
Compiled 30 332 to 3 259 computations (89.3% saved)
76 alts after pruning (67 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 698 | 13 | 711 |
| Fresh | 5 | 54 | 59 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 705 | 76 | 781 |
| Status | Accuracy | Program |
|---|---|---|
| 66.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 79.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 54.4% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))) | |
| 53.4% | (/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) | |
| 80.1% | (*.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)))) | |
| 78.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 79.0% | (*.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)))) | |
| 78.9% | (*.f64 r (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))) | |
| 46.4% | (*.f64 r (/.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) (cos.f64 (+.f64 a b)))) | |
| 64.6% | (*.f64 r (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b)))) | |
| 8.2% | (*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) | |
| 9.7% | (*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (cos.f64 (+.f64 a b)))) | |
| 8.3% | (*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| 44.1% | (*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| 30.8% | (*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| 43.7% | (*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 #s(approx (+ (PI) (neg b)) (*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b))) (PI.f64))) (cos.f64 (+.f64 a b)))) | |
| 30.6% | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b)))) | |
| ✓ | 8.6% | (*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
| 8.4% | (*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) | |
| 18.7% | (*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| ✓ | 54.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
| 56.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)))))) | |
| 57.1% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))) | |
| 59.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))) | |
| ✓ | 66.6% | (*.f64 r (/.f64 (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)))))) |
| 63.1% | (*.f64 r (/.f64 (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))))) | |
| 79.7% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.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 (neg.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 (neg.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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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)))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))))) | |
| 41.2% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)))) | |
| 41.0% | (*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) | |
| 55.8% | (*.f64 r (/.f64 (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))))) | |
| 59.8% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 62.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| 57.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) | |
| 41.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) | |
| 54.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))) | |
| 9.6% | (*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) | |
| 54.2% | (*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) | |
| 11.5% | (*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b)))) | |
| 37.3% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))) | |
| 53.3% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) | |
| 37.5% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| 53.3% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) | |
| 37.4% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) | |
| 53.6% | (*.f64 r (/.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) | |
| 78.9% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 58.4% | (*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))) | |
| 53.9% | (*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| 7.8% | (*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)))) | |
| 37.7% | (*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) | |
| 53.9% | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) | |
| 8.4% | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b)))) | |
| 62.1% | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| ✓ | 18.1% | #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
| 66.8% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 85.0% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (sin.f64 b)) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 74.1% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 80.1% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (-.f64 (neg.f64 b) (PI.f64))) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| ✓ | 99.5% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 54.2% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 62.2% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) | |
| 42.4% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) | |
| 41.7% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) | |
| 37.7% | #s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) | |
| 53.9% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 37.4% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) | |
| ✓ | 53.9% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 36.1% | #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)) | |
| 36.0% | #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)) | |
| 36.0% | #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)) | |
| 28.2% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (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)) b)) | |
| 29.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) | |
| ✓ | 37.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 5 008 to 2 056 computations (58.9% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) |
#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 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
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(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 r (/.f64 (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 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.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 (neg.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 (neg.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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
5 calls:
| 35.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 30.0ms | b |
| 29.0ms | a |
| 28.0ms | r |
| 28.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) |
#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 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)))) |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64))))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (PI.f64)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) |
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 #s(approx (+ (PI) (neg b)) (*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))) |
(*.f64 r (/.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 r (/.f64 (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 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) |
(*.f64 r (/.f64 (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 r (/.f64 (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 (*.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) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))) |
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))) |
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a 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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
5 calls:
| 45.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 30.0ms | b |
| 25.0ms | r |
| 23.0ms | a |
| 22.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) |
#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 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)))) |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64))))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (PI.f64)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) |
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 #s(approx (+ (PI) (neg b)) (*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b))) (PI.f64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))) |
(*.f64 r (/.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 r (/.f64 (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 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) |
(*.f64 r (/.f64 (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 r (/.f64 (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 (*.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) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))) |
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))))) |
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a 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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 28.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 26.0ms | b |
| 26.0ms | r |
| 22.0ms | a |
| 21.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 79.0% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 79.0% | 1 | r |
| 79.0% | 1 | a |
| 79.0% | 1 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) |
#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 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
5 calls:
| 14.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 14.0ms | a |
| 10.0ms | r |
| 10.0ms | b |
| 10.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 3 | r |
| 78.1% | 3 | a |
| 65.4% | 3 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 78.9% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 79.0% | 3 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) |
#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 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) |
#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 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64))) |
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) |
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) |
#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 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))) |
| Outputs |
|---|
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 16.0ms | a |
| 7.0ms | r |
| 7.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 7.0ms | b |
| 7.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.2% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 54.2% | 1 | r |
| 54.2% | 1 | a |
| 54.2% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 54.2% | 1 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| Outputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
5 calls:
| 4.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 4.0ms | r |
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | b |
| 53.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 53.9% | 1 | a |
| 53.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 53.9% | 1 | r |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (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 (*.f64 b r) (cos.f64 a))) |
5 calls:
| 8.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 3.0ms | a |
| 3.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 3.0ms | r |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | a |
| 53.9% | 1 | b |
| 53.9% | 1 | r |
| 53.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 53.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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 (cos.f64 a)) b)) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
5 calls:
| 22.0ms | b |
| 3.0ms | a |
| 3.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 3.0ms | r |
| 3.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | a |
| 53.9% | 1 | b |
| 53.9% | 1 | r |
| 53.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 53.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
#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 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 #s(approx (/ r (cos a)) (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)) b)) |
#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)) |
#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)) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
5 calls:
| 3.0ms | b |
| 2.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 2.0ms | r |
| 2.0ms | a |
| 2.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.3% | 1 | a |
| 37.3% | 1 | b |
| 37.3% | 1 | r |
| 37.3% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 37.3% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 19 to 24 computations (-26.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
5 calls:
| 3.0ms | r |
| 1.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 1.0ms | a |
| 1.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.1% | 1 | b |
| 18.1% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 18.1% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 18.1% | 1 | r |
| 18.1% | 1 | a |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.195681580258211 | 20.294780893841583 |
| 78.0ms | -0.16046050470066756 | -2.6502912131122122e-14 |
| 74.0ms | 123× | 1 | valid |
| 10.0ms | 149× | 0 | valid |
Compiled 709 to 541 computations (23.7% saved)
ival-cos: 6.0ms (29.9% of total)adjust: 3.0ms (15% of total)ival-sin: 3.0ms (15% of total)ival-add: 2.0ms (10% of total)ival-div: 2.0ms (10% of total)ival-mult: 2.0ms (10% 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 |
|---|---|---|
| 1.0ms | 0.195681580258211 | 20.294780893841583 |
| 2.0ms | -0.16046050470066756 | -2.6502912131122122e-14 |
Compiled 930 to 677 computations (27.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.195681580258211 | 20.294780893841583 |
| 2.0ms | -0.16046050470066756 | -2.6502912131122122e-14 |
Compiled 794 to 592 computations (25.4% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 317 |
| 1 | 144 | 317 |
| 2 | 222 | 313 |
| 3 | 388 | 313 |
| 4 | 778 | 313 |
| 5 | 1917 | 313 |
| 6 | 5062 | 313 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) |
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (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)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (or (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (not (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b))))) |
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) |
(if (or (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (not (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b))))) |
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(if (or (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (not (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)))) #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) (fma.f64 (*.f64 b (*.f64 b b)) (-.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.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 337 |
| 0 | 113 | 330 |
| 1 | 398 | 263 |
| 2 | 2718 | 263 |
| 0 | 8490 | 263 |
| 0 | 666 | 3250 |
| 1 | 2335 | 2538 |
| 0 | 8521 | 2377 |
| 0 | 215 | 832 |
| 1 | 696 | 794 |
| 2 | 2437 | 727 |
| 0 | 8298 | 692 |
| 0 | 725 | 3841 |
| 1 | 2440 | 3463 |
| 0 | 9010 | 3292 |
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 46 | 22 |
| 2 | 268 | 22 |
| 3 | 2877 | 22 |
| 0 | 8306 | 22 |
| 0 | 44 | 221 |
| 0 | 79 | 194 |
| 1 | 258 | 193 |
| 2 | 1852 | 181 |
| 0 | 8172 | 181 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 342 to 88 computations (74.3% saved)
(negabs r)
Compiled 862 to 312 computations (63.8% saved)
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