
Time bar (total: 8.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.1s | 5 860× | 1 | valid |
| 208.0ms | 2 396× | 0 | valid |
ival-cos: 325.0ms (32.6% of total)ival-sin: 243.0ms (24.4% of total)ival-add: 137.0ms (13.7% of total)ival-div: 110.0ms (11% of total)adjust: 107.0ms (10.7% of total)ival-mult: 65.0ms (6.5% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 67 | 122 | (1.649138472908423e-222 -2.277049207197227e-235 -6.083049090215248e+146) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 r (sin.f64 b)) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 189 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 67 | 0 |
| - | 122 | 67 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 67 | 0 | 0 |
| - | 122 | 1 | 66 |
| number | freq |
|---|---|
| 0 | 67 |
| 1 | 189 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 70.0ms | 358× | 1 | valid |
| 26.0ms | 154× | 0 | valid |
Compiled 63 to 28 computations (55.6% saved)
ival-mult: 28.0ms (38.1% of total)ival-cos: 16.0ms (21.8% of total)ival-sin: 12.0ms (16.3% of total)adjust: 7.0ms (9.5% of total)ival-add: 5.0ms (6.8% of total)ival-div: 4.0ms (5.4% of total)ival-true: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 90 |
| 1 | 101 | 88 |
| 2 | 250 | 88 |
| 3 | 571 | 88 |
| 4 | 1004 | 88 |
| 5 | 1989 | 88 |
| 6 | 4002 | 88 |
| 7 | 7383 | 88 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 42 | 9 |
| 3 | 64 | 9 |
| 4 | 76 | 9 |
| 5 | 78 | 9 |
| 6 | 92 | 9 |
| 7 | 125 | 9 |
| 8 | 230 | 9 |
| 9 | 570 | 9 |
| 10 | 1511 | 9 |
| 11 | 3327 | 9 |
| 12 | 6752 | 9 |
| 0 | 8024 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 24 | 25 |
| 2 | 42 | 25 |
| 3 | 64 | 25 |
| 4 | 76 | 25 |
| 5 | 78 | 25 |
| 6 | 92 | 25 |
| 7 | 125 | 25 |
| 8 | 230 | 25 |
| 9 | 570 | 25 |
| 10 | 1511 | 25 |
| 11 | 3327 | 25 |
| 12 | 6752 | 25 |
| 0 | 8024 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 b) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.26009750976844204 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.350684687760008 | (cos.f64 (+.f64 a b)) |
| 30.0ms | 179× | 1 | valid |
| 9.0ms | 77× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-cos: 8.0ms (32.8% of total)ival-sin: 6.0ms (24.6% of total)ival-add: 3.0ms (12.3% of total)adjust: 3.0ms (12.3% of total)ival-div: 2.0ms (8.2% of total)ival-mult: 2.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | b | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 593 |
| 1 | 569 | 562 |
| 2 | 2016 | 518 |
| 3 | 7405 | 515 |
| 0 | 9145 | 482 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) r)) (cos.f64 b)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 a) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (cos.f64 b))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))) (sin.f64 b))) (cos.f64 b)) (neg.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a)) a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) r)) (cos.f64 a))) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(* b r) |
(*.f64 b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64))) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) b (cos.f64 a)) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 46 | 19 |
| 2 | 266 | 19 |
| 3 | 2853 | 19 |
| 0 | 8286 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) |
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) |
(sin.f64 b) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(fma.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(fma.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))))) |
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) |
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (PI.f64))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(-.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b))))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 a b))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (sin.f64 a))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (neg.f64 (neg.f64 (sin.f64 b))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (+.f64 a b))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (-.f64 b (neg.f64 a))) |
(cos.f64 (-.f64 (neg.f64 a) b)) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
Compiled 4 641 to 744 computations (84% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 24 | 182 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 158 | 25 | 183 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (/.f64 (*.f64 r (sin.f64 b)) (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))))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 77.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 62.4% | (/.f64 (*.f64 r (sin.f64 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))))))) | |
| 39.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 38.2% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| ✓ | 77.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) | |
| ▶ | 60.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
| 49.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) | |
| 61.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 52.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 48.4% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) | |
| 47.5% | (/.f64 #s(approx (* r (sin b)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r))) (cos.f64 (+.f64 a b))) | |
| 47.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 47.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 79.5% | (*.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)))) | |
| 77.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| ▶ | 77.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| 59.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a))) | |
| ▶ | 47.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) |
| 61.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) | |
| ▶ | 48.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
Compiled 1 297 to 770 computations (40.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) | |
| cost-diff | 1 | (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) | |
| cost-diff | 2 | (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) | |
| cost-diff | 0 | (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 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 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 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 382 |
| 0 | 80 | 382 |
| 1 | 157 | 382 |
| 2 | 352 | 377 |
| 3 | 1145 | 377 |
| 4 | 5450 | 374 |
| 0 | 8302 | 371 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(*.f64 (/.f64 (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 |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(neg.f64 (sin.f64 b)) |
a |
(cos.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) |
(*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) |
(fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) |
(/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) |
(pow.f64 (cos.f64 a) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (sin.f64 a) #s(literal 2 binary64)) |
(sin.f64 a) |
#s(literal 2 binary64) |
b |
(/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) |
(fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) |
(/.f64 b (cos.f64 a)) |
(*.f64 (sin.f64 a) r) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (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 (/.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 |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(neg.f64 (sin.f64 b)) |
a |
(cos.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 a))) (sin.f64 a) #s(literal 1/3 binary64))) (*.f64 b b) (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r)) (cos.f64 a)) b)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(*.f64 (/.f64 (fma.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 a))) (sin.f64 a) #s(literal 1/3 binary64))) (*.f64 b b) (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r)) (cos.f64 a)) b) |
(fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) |
(/.f64 (fma.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 a))) (sin.f64 a) #s(literal 1/3 binary64))) (*.f64 b b) (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r)) (cos.f64 a)) |
(*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) |
(*.f64 (*.f64 b r) (+.f64 (/.f64 #s(literal 1/3 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) r) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) |
(pow.f64 (cos.f64 a) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (sin.f64 a) #s(literal 2 binary64)) |
(sin.f64 a) |
#s(literal 2 binary64) |
b |
(/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) |
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 r (cos.f64 a))) |
(fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) |
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r) |
(/.f64 b (cos.f64 a)) |
(*.f64 (sin.f64 a) r) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.5781208716604118 | (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) | |
| accuracy | 1.7389752214768008 | (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) | |
| accuracy | 4.140362496801645 | (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) | |
| accuracy | 33.21519755042192 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) | |
| accuracy | 0.0625 | (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.26009750976844204 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) | |
| accuracy | 27.664151863010428 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) | |
| accuracy | 0.0 | (sin.f64 b) | |
| accuracy | 0.171875 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| accuracy | 0.2421875 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.350684687760008 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.00390625 | (cos.f64 a) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| accuracy | 0.11328125 | (/.f64 r (cos.f64 a)) | |
| accuracy | 33.22818254484147 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.1152025511575378 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) | |
| accuracy | 0.23828125 | (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) | |
| accuracy | 0.26009750976844204 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 197.0ms | 179× | 1 | valid |
| 39.0ms | 77× | 0 | valid |
Compiled 337 to 43 computations (87.2% saved)
ival-mult: 57.0ms (29.4% of total)ival-cos: 54.0ms (27.9% of total)ival-div: 22.0ms (11.4% of total)ival-sin: 18.0ms (9.3% of total)adjust: 12.0ms (6.2% of total)ival-add: 11.0ms (5.7% of total)ival-pow: 6.0ms (3.1% of total)const: 5.0ms (2.6% of total)ival-pow2: 4.0ms (2.1% of total)ival-neg: 3.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 r (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) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) |
(fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) |
(fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* r (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) |
(* b (* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
(/ (* r (pow (sin a) 2)) (pow (cos a) 3)) |
(* r (+ 1 (/ (* b (sin a)) (cos a)))) |
(* -1 (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a))))) |
(* -1 (* r (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) |
(* -1 (* b (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a)))))) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (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) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ r (* 1/3 (* (pow b 2) r))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (* b r)))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (+ (* a (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r))) (* b r))))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (+ (* a (- (+ (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* (pow b 2) (+ r (* 1/6 r)))) (* -1/2 r))) (* b r))))) |
(* 1/3 r) |
(+ (* 1/3 r) (* (pow a 2) (+ r (* 1/6 r)))) |
(+ (* 1/3 r) (* (pow a 2) (+ r (+ (* 1/6 r) (* (pow a 2) (- (+ (* -1/3 r) (* -1/3 (+ (* -1/4 r) (* 1/24 r)))) (* -3/2 r))))))) |
(+ (* 1/3 r) (* (pow a 2) (+ r (+ (* 1/6 r) (* (pow a 2) (- (+ (* -1/3 r) (+ (* -1/3 (+ (* -1/4 r) (* 1/24 r))) (* (pow a 2) (- (+ (* -1/3 (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r)))))) (* 2/45 r)) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r)))))) (* -3/2 r))))))) |
(* b (+ r (* 1/3 (* (pow b 2) r)))) |
(+ (* a (* (pow b 2) r)) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ (* a (+ (* a (* b (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r)))) (* (pow b 2) r))) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ (* a (+ (* a (+ (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))) (* b (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r))))) (* (pow b 2) r))) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(* -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))))))))) |
(* (pow a 2) r) |
(* (pow a 2) (+ r (* (pow a 2) (- (* -1/3 r) (* -3/2 r))))) |
(* (pow a 2) (+ r (* (pow a 2) (- (+ (* -1/3 r) (* (pow a 2) (- (* 2/45 r) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r))))) (* -3/2 r))))) |
(* (pow a 2) (+ r (* (pow a 2) (- (+ (* -1/3 r) (* (pow a 2) (- (+ (* 2/45 r) (* (pow a 2) (- (* -1/315 r) (+ (* -3/2 (- (* 2/45 r) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r)))) (+ (* -61/240 r) (* 7/8 (- (* -1/3 r) (* -3/2 r)))))))) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r))))) (* -3/2 r))))) |
(+ r (* a (* b r))) |
(+ r (* a (+ (* b r) (* (pow a 2) (- (* -1/6 (* b r)) (* -1/2 (* b r))))))) |
(+ r (* a (+ (* b r) (* (pow a 2) (- (+ (* -1/6 (* b r)) (* (pow a 2) (- (* 1/120 (* b r)) (+ (* -1/2 (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) |
(* b (+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
(* -1 (* (sin a) (sin b))) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(+ r (/ (* b (* r (sin a))) (cos a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a))))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* 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)))))))) |
(/ 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) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))) |
(* b (+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos 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 (* -1 (* a b))) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(sin b) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(/ (* b (* r (sin a))) (cos a)) |
(* b (+ (/ r b) (/ (* r (sin a)) (cos a)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (* r (sin a)) (* b (pow (cos a) 2))))))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))) b))))) |
(* -1 (* b (+ (* -1 (/ r b)) (* -1 (/ (* r (sin a)) (cos a)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 107.0ms | b | @ | -inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (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 b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (* (neg (sin a)) (sin b)) (+ (* (neg (sin b)) a) (cos b)) (* (/ r (pow (cos a) 3)) (pow (sin a) 2)) (+ (* (/ b (cos a)) (* (sin a) r)) r)) |
| 43.0ms | r | @ | inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (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 b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (* (neg (sin a)) (sin b)) (+ (* (neg (sin b)) a) (cos b)) (* (/ r (pow (cos a) 3)) (pow (sin a) 2)) (+ (* (/ b (cos a)) (* (sin a) r)) r)) |
| 15.0ms | a | @ | -inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (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 b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (* (neg (sin a)) (sin b)) (+ (* (neg (sin b)) a) (cos b)) (* (/ r (pow (cos a) 3)) (pow (sin a) 2)) (+ (* (/ b (cos a)) (* (sin a) r)) r)) |
| 10.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (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 b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (* (neg (sin a)) (sin b)) (+ (* (neg (sin b)) a) (cos b)) (* (/ r (pow (cos a) 3)) (pow (sin a) 2)) (+ (* (/ b (cos a)) (* (sin a) r)) r)) |
| 9.0ms | a | @ | inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (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 b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (* (neg (sin a)) (sin b)) (+ (* (neg (sin b)) a) (cos b)) (* (/ r (pow (cos a) 3)) (pow (sin a) 2)) (+ (* (/ b (cos a)) (* (sin a) r)) r)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 2676 |
| 1 | 2122 | 2501 |
| 0 | 8436 | 2334 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* r (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) |
(* b (* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
(/ (* r (pow (sin a) 2)) (pow (cos a) 3)) |
(* r (+ 1 (/ (* b (sin a)) (cos a)))) |
(* -1 (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a))))) |
(* -1 (* r (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) |
(* -1 (* b (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a)))))) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (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) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ r (* 1/3 (* (pow b 2) r))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (* b r)))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (+ (* a (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r))) (* b r))))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (+ (* a (- (+ (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* (pow b 2) (+ r (* 1/6 r)))) (* -1/2 r))) (* b r))))) |
(* 1/3 r) |
(+ (* 1/3 r) (* (pow a 2) (+ r (* 1/6 r)))) |
(+ (* 1/3 r) (* (pow a 2) (+ r (+ (* 1/6 r) (* (pow a 2) (- (+ (* -1/3 r) (* -1/3 (+ (* -1/4 r) (* 1/24 r)))) (* -3/2 r))))))) |
(+ (* 1/3 r) (* (pow a 2) (+ r (+ (* 1/6 r) (* (pow a 2) (- (+ (* -1/3 r) (+ (* -1/3 (+ (* -1/4 r) (* 1/24 r))) (* (pow a 2) (- (+ (* -1/3 (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r)))))) (* 2/45 r)) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r)))))) (* -3/2 r))))))) |
(* b (+ r (* 1/3 (* (pow b 2) r)))) |
(+ (* a (* (pow b 2) r)) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ (* a (+ (* a (* b (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r)))) (* (pow b 2) r))) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ (* a (+ (* a (+ (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))) (* b (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r))))) (* (pow b 2) r))) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(* -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))))))))) |
(* (pow a 2) r) |
(* (pow a 2) (+ r (* (pow a 2) (- (* -1/3 r) (* -3/2 r))))) |
(* (pow a 2) (+ r (* (pow a 2) (- (+ (* -1/3 r) (* (pow a 2) (- (* 2/45 r) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r))))) (* -3/2 r))))) |
(* (pow a 2) (+ r (* (pow a 2) (- (+ (* -1/3 r) (* (pow a 2) (- (+ (* 2/45 r) (* (pow a 2) (- (* -1/315 r) (+ (* -3/2 (- (* 2/45 r) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r)))) (+ (* -61/240 r) (* 7/8 (- (* -1/3 r) (* -3/2 r)))))))) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r))))) (* -3/2 r))))) |
(+ r (* a (* b r))) |
(+ r (* a (+ (* b r) (* (pow a 2) (- (* -1/6 (* b r)) (* -1/2 (* b r))))))) |
(+ r (* a (+ (* b r) (* (pow a 2) (- (+ (* -1/6 (* b r)) (* (pow a 2) (- (* 1/120 (* b r)) (+ (* -1/2 (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) |
(* b (+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
(* -1 (* (sin a) (sin b))) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(+ r (/ (* b (* r (sin a))) (cos a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a))))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* 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)))))))) |
(/ 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) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))) |
(* b (+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos 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 (* -1 (* a b))) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(sin b) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(/ (* b (* r (sin a))) (cos a)) |
(* b (+ (/ r b) (/ (* r (sin a)) (cos a)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (* r (sin a)) (* b (pow (cos a) 2))))))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))) b))))) |
(* -1 (* b (+ (* -1 (/ r b)) (* -1 (/ (* r (sin a)) (cos a)))))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) (*.f64 b b) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) r) |
(* r (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r) |
(* b (* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) (*.f64 b b) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 b r)) |
(/ (* r (pow (sin a) 2)) (pow (cos a) 3)) |
(*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(* r (+ 1 (/ (* b (sin a)) (cos a)))) |
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r) |
(* -1 (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a))))) |
(*.f64 (neg.f64 r) (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (-.f64 (*.f64 (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 -1/3 binary64) (cos.f64 a))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
(* -1 (* r (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) |
(*.f64 (neg.f64 r) (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 -1/3 binary64) (cos.f64 a)))) |
(* -1 (* b (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a)))))) |
(*.f64 (*.f64 (neg.f64 b) r) (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (-.f64 (*.f64 (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 -1/3 binary64) (cos.f64 a))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) |
(*.f64 (neg.f64 r) (-.f64 (*.f64 (neg.f64 b) (/.f64 (sin.f64 a) (cos.f64 a))) #s(literal 1 binary64))) |
(/ (* 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)))) |
(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 (*.f64 #s(literal 1/2 binary64) b) r)) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
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r |
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(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
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1 |
#s(literal 1 binary64) |
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(/.f64 (sin.f64 b) (cos.f64 b)) |
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(* b (+ r (* 1/3 (* (pow b 2) r)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b) |
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(* -1 (* a (sin b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
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(* (pow a 2) r) |
(*.f64 (*.f64 a a) r) |
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(* (pow a 2) (+ r (* (pow a 2) (- (+ (* -1/3 r) (* (pow a 2) (- (+ (* 2/45 r) (* (pow a 2) (- (* -1/315 r) (+ (* -3/2 (- (* 2/45 r) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r)))) (+ (* -61/240 r) (* 7/8 (- (* -1/3 r) (* -3/2 r)))))))) (+ (* -3/2 (- (* -1/3 r) (* -3/2 r))) (* 7/8 r))))) (* -3/2 r))))) |
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(+ r (* a (* b r))) |
(fma.f64 (*.f64 b r) a r) |
(+ r (* a (+ (* b r) (* (pow a 2) (- (* -1/6 (* b r)) (* -1/2 (* b r))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b r) #s(literal 1/3 binary64)) a) a (*.f64 b r)) a r) |
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(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos a) |
(cos.f64 a) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
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(* b (+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
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(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (/ (cos b) a))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 b) (/.f64 (cos.f64 b) a)) a) |
(+ r (/ (* b (* r (sin a))) (cos a))) |
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(/ (* r (sin b)) (cos (- b (* -1 a)))) |
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(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
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(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a))))) |
(*.f64 (neg.f64 a) (-.f64 (sin.f64 b) (/.f64 (cos.f64 b) a))) |
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(* b (+ r (* -1/6 (* (pow b 2) r)))) |
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b |
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(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
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(+ (cos a) (* -1 (* b (sin a)))) |
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(/ b (cos a)) |
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(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* 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 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.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 #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) (* 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 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) |
(* b (+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* -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 (* -1 (* a b))) |
(-.f64 #s(literal 1 binary64) (*.f64 a b)) |
(+ 1 (* b (+ (* -1 a) (* -1/2 b)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64)) |
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64)) |
(sin b) |
(sin.f64 b) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(*.f64 (*.f64 (*.f64 b b) r) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a)))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 a) b) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r)) (*.f64 b b)) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r (/.f64 (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 r (cos.f64 a)) b)) b)) (*.f64 b b)) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r)) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 a) b) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r (/.f64 (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 r (cos.f64 a)) b)) b))) |
(/ (* b (* r (sin a))) (cos a)) |
(*.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a))) |
(* b (+ (/ r b) (/ (* r (sin a)) (cos a)))) |
(*.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)) 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)) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r (/.f64 (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 r (cos.f64 a)) b)) b)) (*.f64 b b)) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (* r (sin a)) (* b (pow (cos a) 2))))))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 (sin.f64 a) b) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r)))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))) b))))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (cos.f64 a))) r (/.f64 (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 r (cos.f64 a)) b)) b)))) |
(* -1 (* b (+ (* -1 (/ r b)) (* -1 (/ (* r (sin a)) (cos a)))))) |
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 277 |
| 0 | 80 | 263 |
| 1 | 265 | 263 |
| 2 | 1946 | 263 |
| 0 | 8136 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(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) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) |
(fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) |
(fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) |
| Outputs |
|---|
(*.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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(/.f64 (-.f64 (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 (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 (+.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 (+.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 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
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(-.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))))) |
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(cos.f64 (+.f64 b (neg.f64 (neg.f64 a)))) |
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(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
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(/.f64 r (cos.f64 a)) |
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(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) |
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(cos.f64 (neg.f64 (neg.f64 a))) |
(cos.f64 (neg.f64 a)) |
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(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 (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 (+.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 (+.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))) |
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(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) |
(sin.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(-.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)))) |
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(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 (neg.f64 (neg.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (neg.f64 a) b)) |
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(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 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
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(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))) |
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(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (cos.f64 b) (-.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(fma.f64 a (neg.f64 (sin.f64 b)) (cos.f64 b)) |
(fma.f64 (sin.f64 b) (neg.f64 a) (cos.f64 b)) |
(-.f64 (/.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b))) (/.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)))) |
(-.f64 (cos.f64 b) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) a)) |
(-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (neg.f64 (sin.f64 b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 b) (neg.f64 a)) (cos.f64 b)) |
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) |
(*.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (sin.f64 a)) (sin.f64 a)) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (cos.f64 a))) |
(*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) |
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 a) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) |
(*.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 a)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (cos.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 r) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (neg.f64 r)) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r)) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) r) |
(/.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64))) (-.f64 r (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 r r))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) r))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 r (-.f64 r (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a))) (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) r)) |
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) r) (*.f64 (/.f64 b (cos.f64 a)) r))))) |
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 r (-.f64 r (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a))) (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a) r) |
(fma.f64 (*.f64 (/.f64 b (cos.f64 a)) (sin.f64 a)) r r) |
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r) |
(fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) |
(fma.f64 (sin.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) r) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (cos.f64 a)) r) |
(fma.f64 r (*.f64 (/.f64 b (cos.f64 a)) (sin.f64 a)) r) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) r)) (/.f64 (*.f64 r r) (-.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) r))) |
(-.f64 r (*.f64 (neg.f64 (*.f64 (/.f64 b (cos.f64 a)) (sin.f64 a))) r)) |
(-.f64 r (*.f64 (neg.f64 (*.f64 (sin.f64 a) r)) (/.f64 b (cos.f64 a)))) |
(-.f64 r (*.f64 (neg.f64 (/.f64 b (cos.f64 a))) (*.f64 (sin.f64 a) r))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 r (-.f64 r (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a))) (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 r (-.f64 r (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a))) (pow.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a)) r) |
(+.f64 r (*.f64 (*.f64 (/.f64 b (cos.f64 a)) r) (sin.f64 a))) |
Compiled 21 219 to 2 591 computations (87.8% saved)
49 alts after pruning (44 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 482 | 36 | 518 |
| Fresh | 11 | 8 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 494 | 49 | 543 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (/.f64 (*.f64 r (sin.f64 b)) (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))))))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 76.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (+.f64 (cosh.f64 (log.f64 (cos.f64 a))) (sinh.f64 (log.f64 (cos.f64 a)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 76.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (exp.f64 (log.f64 (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 53.0% | (/.f64 (*.f64 r (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)))) | |
| 68.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 63.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) | |
| 99.3% | (/.f64 (*.f64 r (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))))))) | |
| 39.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) | |
| 38.2% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| ✓ | 77.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 49.8% | (/.f64 (*.f64 r (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)))) | |
| 61.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))) | |
| ✓ | 60.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
| ▶ | 52.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
| 32.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64))))) | |
| 32.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) | |
| 33.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) | |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (*.f64 (neg.f64 a) (-.f64 (sin.f64 b) (/.f64 (cos.f64 b) a)))))) | |
| 47.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 48.2% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 48.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 47.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 79.5% | (*.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)))) | |
| ▶ | 77.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
| ✓ | 77.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| 60.5% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))) r) | |
| 60.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) r) | |
| 77.3% | (*.f64 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) r) | |
| 61.6% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) | |
| ▶ | 48.0% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
| 61.6% | #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 48.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 47.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r #s(approx (cos a) #s(literal 1 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) | |
| 33.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) | |
| 33.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) | |
| ✓ | 48.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 31.9% | #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)) | |
| 31.8% | #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)) | |
| 32.0% | #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)) | |
| 27.2% | #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)) | |
| 27.3% | #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)) | |
| 32.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) | |
| 31.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) | |
| ▶ | 32.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| 31.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
Compiled 2 535 to 1 672 computations (34% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 10 | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (cos.f64 a)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 b (cos.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) | |
| 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 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 215 |
| 0 | 61 | 215 |
| 1 | 118 | 215 |
| 2 | 231 | 207 |
| 3 | 475 | 205 |
| 4 | 874 | 205 |
| 5 | 2387 | 205 |
| 6 | 7172 | 205 |
| 0 | 8027 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (cos.f64 a)) |
(cos.f64 a) |
a |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (cos.f64 a)) |
(cos.f64 a) |
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) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24447250976844204 | (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.3125 | (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.251050950974344 | (cos.f64 (-.f64 b a)) | |
| accuracy | 14.350684687760008 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.00390625 | (cos.f64 a) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.26009750976844204 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| accuracy | 30.663699131693225 | #s(approx (cos (+ a b)) (cos.f64 a)) | |
| accuracy | 0.00390625 | (cos.f64 a) | |
| accuracy | 0.1171875 | (/.f64 b (cos.f64 a)) | |
| accuracy | 0.171875 | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) | |
| accuracy | 33.39812250424111 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| accuracy | 0.0 | (*.f64 b r) | |
| accuracy | 22.10333030234718 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| accuracy | 33.22818254484147 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| accuracy | 0.078125 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.14282125946961358 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.26009750976844204 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 177.0ms | 178× | 1 | valid |
| 18.0ms | 78× | 0 | valid |
Compiled 188 to 30 computations (84% saved)
ival-cos: 57.0ms (45.4% of total)ival-mult: 23.0ms (18.3% of total)ival-div: 15.0ms (11.9% of total)ival-sin: 14.0ms (11.2% of total)adjust: 9.0ms (7.2% of total)ival-add: 4.0ms (3.2% of total)ival-sub: 2.0ms (1.6% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
(cos.f64 a) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
#s(approx (cos (+ 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) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (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))))) |
(/ (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))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
(pow (cos b) 2) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(cos a) |
(cos (+ a b)) |
(* (cos a) (cos b)) |
(cos (- b a)) |
(* (cos (+ a b)) (cos (- b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(cos (+ b (* -1 a))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* b (+ 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)))))))) |
(* 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) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(cos (neg (+ a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | r | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 5.0ms | r | @ | inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 4.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 4.0ms | b | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 4.0ms | b | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 537 | 2454 |
| 1 | 2003 | 2084 |
| 0 | 8395 | 1959 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (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))))) |
(/ (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))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
(pow (cos b) 2) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(cos a) |
(cos (+ a b)) |
(* (cos a) (cos b)) |
(cos (- b a)) |
(* (cos (+ a b)) (cos (- b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(cos (+ b (* -1 a))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* b (+ 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)))))))) |
(* 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) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(cos (neg (+ a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (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)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b r) |
(*.f64 b r) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (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)))) |
(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) r) b (*.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) r) b (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 (neg.f64 b) r) #s(literal -5/24 binary64))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
(/ (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))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) (*.f64 (neg.f64 b) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin 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 (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (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)) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 4 binary64))) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 6 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 b) #s(literal 4 binary64)))))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 b)) (cos.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 6 binary64))))) (*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) a (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 b) #s(literal 4 binary64)))))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)) |
(+ (cos b) (* a (sin b))) |
(fma.f64 (sin.f64 b) a (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(fma.f64 (fma.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))))) (* -1 (sin b))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (sin.f64 b)) a (cos.f64 b)) |
(pow (cos b) 2) |
(pow.f64 (cos.f64 b) #s(literal 2 binary64)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(fma.f64 #s(literal 0 binary64) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 0 binary64)) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 b)) (cos.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b))) a #s(literal -1 binary64)) a #s(literal 0 binary64)) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(cos a) |
(cos.f64 a) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos (- b a)) |
(cos.f64 (-.f64 a b)) |
(* (cos (+ a b)) (cos (- b a))) |
(*.f64 (cos.f64 (-.f64 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)) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(cos (+ b (* -1 a))) |
(cos.f64 (-.f64 a b)) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 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 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) 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 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.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) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(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 a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (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 #s(literal 1/6 binary64) (sin.f64 a)) b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* 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) (* 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 #s(literal 1/6 binary64) (sin.f64 a)) b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(*.f64 (fma.f64 (neg.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64)))))) b (*.f64 (neg.f64 r) (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))))) b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 r) (*.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 a)) (fma.f64 (sin.f64 a) #s(literal -1 binary64) (sin.f64 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (sin.f64 a) #s(literal -1 binary64) (sin.f64 a)))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64)))))) (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64))))))) b (*.f64 (neg.f64 r) (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))))) b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) |
(+ (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)) |
(cos (neg a)) |
(cos.f64 a) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(fma.f64 (sin.f64 a) b (cos.f64 a)) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (*.f64 #s(literal 1 binary64) (sin.f64 a))) b (cos.f64 a)) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (neg.f64 (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (*.f64 #s(literal 1 binary64) (sin.f64 a))) b (cos.f64 a)) |
(* (cos a) (cos (neg a))) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (neg.f64 b) (*.f64 (cos.f64 a) (fma.f64 (sin.f64 a) #s(literal -1 binary64) (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))) (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) b)) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 a)) (fma.f64 (sin.f64 a) #s(literal -1 binary64) (sin.f64 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (sin.f64 a) #s(literal -1 binary64) (sin.f64 a)))) b (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(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)) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(cos (neg (+ a (* -1 b)))) |
(cos.f64 (-.f64 a b)) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 176 |
| 0 | 61 | 183 |
| 1 | 182 | 162 |
| 2 | 1235 | 162 |
| 0 | 8961 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
(cos.f64 a) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
#s(approx (cos (+ 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) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) |
(*.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 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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
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(sin.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) |
(-.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 (neg.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (neg.f64 a) 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 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 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 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 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.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 (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))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a 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 (cos.f64 (-.f64 a 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 (cos.f64 (-.f64 a 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 (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) (neg.f64 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 (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 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 b) (neg.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 (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 (cos.f64 (-.f64 a 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 a 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 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) (neg.f64 b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (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 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 a b))))) #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 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (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 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (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 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (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 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b)))) #s(literal 2 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 (neg.f64 b))) (cos.f64 (-.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 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 (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 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.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 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.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 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.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 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b)))) #s(literal 2 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 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a))))) #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 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a))))) #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 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a))))) #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 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a))))) #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 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)))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (cos.f64 (/.f64 (*.f64 a a) (+.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 a b))))) |
(fma.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))))) |
(fma.f64 (sin.f64 (neg.f64 (-.f64 b a))) #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 b a)))) |
(fma.f64 (sin.f64 (-.f64 b a)) #s(literal 0 binary64) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (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 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 (neg.f64 (neg.f64 (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (sin.f64 b) (cos.f64 (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 b) (sin.f64 (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 b) a))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 a) b))) |
(cos.f64 (neg.f64 (+.f64 b (neg.f64 a)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 b a))))) |
(cos.f64 (neg.f64 (-.f64 a b))) |
(cos.f64 (neg.f64 (neg.f64 (-.f64 b a)))) |
(cos.f64 (+.f64 (neg.f64 a) b)) |
(cos.f64 (+.f64 (neg.f64 b) a)) |
(cos.f64 (+.f64 b (neg.f64 a))) |
(cos.f64 (-.f64 a b)) |
(cos.f64 (neg.f64 (-.f64 b a))) |
(cos.f64 (-.f64 b a)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (cos.f64 (/.f64 (*.f64 a a) (+.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 a b))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (-.f64 b a))) #s(literal 0 binary64)) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 b a)))) |
(+.f64 (*.f64 (sin.f64 (-.f64 b a)) #s(literal 0 binary64)) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) |
(/.f64 (fma.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 a b))))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (neg.f64 a) b))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (neg.f64 a) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b (neg.f64 a)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 a b))))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 a) b))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 a) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 b (neg.f64 a)))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 b (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 b a))))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (-.f64 b a)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (neg.f64 (neg.f64 (-.f64 b a))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (neg.f64 (-.f64 b a)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (neg.f64 (neg.f64 (-.f64 b a))))) (sin.f64 (+.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (+.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (-.f64 (neg.f64 a) b))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (-.f64 (neg.f64 a) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (-.f64 b (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (-.f64 b (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 b a))) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (-.f64 b a))) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (-.f64 (neg.f64 a) b))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (-.f64 (neg.f64 a) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (-.f64 b (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (-.f64 b (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (-.f64 (neg.f64 a) b))) (cos.f64 (-.f64 (-.f64 b a) (-.f64 (neg.f64 a) b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (-.f64 b (neg.f64 a)))) (cos.f64 (-.f64 (-.f64 b a) (-.f64 b (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 b a))) (cos.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 a) b) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (-.f64 (neg.f64 a) b) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 a) b) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (-.f64 (neg.f64 a) b) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))) (cos.f64 (-.f64 (-.f64 (neg.f64 a) b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b (neg.f64 a)) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (-.f64 b (neg.f64 a)) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b (neg.f64 a)) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (-.f64 b (neg.f64 a)) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b (neg.f64 a)) (-.f64 b a))) (cos.f64 (-.f64 (-.f64 b (neg.f64 a)) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 a b) (neg.f64 (neg.f64 (-.f64 b a))))) (cos.f64 (-.f64 (+.f64 a b) (neg.f64 (neg.f64 (-.f64 b a)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (neg.f64 (-.f64 b a)))) (sin.f64 (+.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 2 binary64)) |
(fma.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a b)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(+.f64 (/.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))) |
Compiled 19 373 to 2 568 computations (86.7% saved)
76 alts after pruning (68 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 579 | 41 | 620 |
| Fresh | 12 | 27 | 39 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 593 | 76 | 669 |
| Status | Accuracy | Program |
|---|---|---|
| 77.3% | (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 63.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 49.1% | (/.f64 (*.f64 r (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))))) | |
| 76.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (+.f64 (cosh.f64 (log.f64 (cos.f64 a))) (sinh.f64 (log.f64 (cos.f64 a)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 76.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (exp.f64 (log.f64 (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| ▶ | 53.0% | (/.f64 (*.f64 r (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)))) |
| 68.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 63.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) | |
| ▶ | 99.3% | (/.f64 (*.f64 r (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))))))) |
| 39.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) | |
| 38.2% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| ✓ | 77.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 49.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 61.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| ✓ | 60.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
| 37.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) | |
| 38.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| ✓ | 52.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
| 32.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) | |
| 33.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) | |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (*.f64 (neg.f64 a) (-.f64 (sin.f64 b) (/.f64 (cos.f64 b) a)))))) | |
| 34.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| 37.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) | |
| 48.8% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 47.8% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 47.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 48.2% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 47.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 77.3% | (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) | |
| 39.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 37.6% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 38.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 39.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 76.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))) (cos.f64 (-.f64 (-.f64 (neg.f64 a) b) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 79.5% | (*.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)))) | |
| 39.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 38.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| 39.1% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) | |
| 52.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) | |
| 52.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 63.0% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| ▶ | 53.6% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
| 76.9% | (*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) | |
| 77.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) | |
| 60.5% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))) r) | |
| 60.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) r) | |
| 52.3% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) | |
| 76.8% | (*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) | |
| 77.3% | (*.f64 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) r) | |
| 77.2% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) | |
| 77.3% | (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) | |
| 77.4% | (*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) | |
| 47.8% | (*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (cos.f64 (-.f64 b a))) | |
| 63.0% | (*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) | |
| 61.6% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) | |
| 33.4% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) | |
| ▶ | 33.5% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
| ✓ | 48.0% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
| 31.8% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) | |
| 32.0% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) | |
| 27.2% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) | |
| 27.3% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) | |
| 61.6% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 48.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 47.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r #s(approx (cos a) #s(literal 1 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) | |
| ✓ | 48.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 31.9% | #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)) | |
| 32.0% | #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)) | |
| ▶ | 32.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
| 31.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) | |
| ✓ | 32.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| 31.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
Compiled 3 716 to 2 513 computations (32.4% saved)
| 1× | egg-herbie |
Found 20 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 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #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)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| cost-diff | 0 | (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) | |
| cost-diff | 5 | (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (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))))))) | |
| cost-diff | 1 | (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))) | |
| cost-diff | 1 | (+.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))) | |
| cost-diff | 4 | (-.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 678 |
| 0 | 136 | 658 |
| 1 | 265 | 650 |
| 2 | 739 | 637 |
| 3 | 3168 | 637 |
| 0 | 8228 | 624 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 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 (sin.f64 b)) |
r |
(sin.f64 b) |
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 (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))) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(+.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))))) |
(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(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 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
(*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b) |
#s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) |
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) |
(*.f64 (*.f64 b b) r) |
(*.f64 b b) |
b |
r |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
b |
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(neg.f64 a) |
a |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
r |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 a) |
a |
#s(literal 2 binary64) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
(/.f64 (*.f64 r (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 (sin.f64 b)) |
r |
(sin.f64 b) |
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))) |
(cos.f64 b) |
(cos.f64 a) |
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 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(sin.f64 a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) b) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 r (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 (*.f64 (sin.f64 b) r) (/.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 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 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 (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 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(+.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 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 a) |
(cos.f64 b) |
(+.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))))) |
(fma.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(*.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))) |
(*.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (neg.f64 (sin.f64 a))) |
(*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) |
(*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
(*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b) |
#s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) |
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) |
(*.f64 (*.f64 b b) r) |
(*.f64 b b) |
b |
r |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 b (cos.f64 a)) |
b |
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 a) |
(+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) |
(neg.f64 a) |
a |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
r |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) r) (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 a) |
a |
#s(literal 2 binary64) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
(/.f64 (*.f64 r (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 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
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))) |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))))) |
(cos.f64 b) |
(cos.f64 a) |
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)) |
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) |
(sin.f64 a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) b) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26009750976844204 | (/.f64 (*.f64 r (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)))) | |
| accuracy | 0.359375 | (*.f64 #s(literal 1/6 binary64) b) | |
| accuracy | 4.080496746925427 | (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) | |
| accuracy | 33.04635995335549 | #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)) | |
| accuracy | 0.24447250976844204 | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) | |
| accuracy | 0.25 | (pow.f64 (cos.f64 a) #s(literal 2 binary64)) | |
| accuracy | 14.251050950974344 | (cos.f64 (-.f64 b a)) | |
| accuracy | 29.53411229040658 | #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) | |
| accuracy | 0.1171875 | (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| accuracy | 0.171875 | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) | |
| accuracy | 25.77227756804522 | (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| accuracy | 33.39812250424111 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| accuracy | 0.13671875 | (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) | |
| accuracy | 8.072839841778045 | (*.f64 (*.f64 b b) r) | |
| accuracy | 23.809335389941126 | #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) | |
| accuracy | 33.21519755042192 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) | |
| accuracy | 0.28456884768442015 | (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) | |
| accuracy | 0.29134750976844204 | (/.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)))))) | |
| accuracy | 0.38900375976844204 | (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) | |
| accuracy | 0.5147438965266303 | (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) |
| 388.0ms | 183× | 1 | valid |
| 62.0ms | 73× | 0 | valid |
Compiled 548 to 76 computations (86.1% saved)
ival-mult: 150.0ms (37.6% of total)ival-add: 46.0ms (11.5% of total)ival-cos: 44.0ms (11% of total)ival-sin: 39.0ms (9.8% of total)adjust: 32.0ms (8% of total)ival-div: 29.0ms (7.3% of total)ival-pow: 18.0ms (4.5% of total)ival-pow2: 16.0ms (4% of total)const: 14.0ms (3.5% of total)ival-sub: 4.0ms (1% of total)ival-neg: 3.0ms (0.8% of total)ival-pi: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(+.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 r (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))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
(*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b) |
#s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) |
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) |
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
(/.f64 (*.f64 r (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 (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))) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) |
(/.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)))))) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 b b) r) |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(cos.f64 (-.f64 b a)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
#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 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) b) |
| Outputs |
|---|
(/ (* r (* (sin b) (- (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b)))))))) (+ (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* (pow (cos a) 3) (pow (cos b) 3)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* b (* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
(* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* r (+ 1 (* 1/3 (pow b 2)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(* r (sin b)) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* (pow b 2) r) |
(* -1 (* b (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a)))))) |
(* -1 (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a))))) |
(* -1 (* r (- (* -1/3 (pow b 2)) 1))) |
(pow (cos b) 2) |
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2)) |
(+ (* a (- (* -1 (* a (pow (cos b) 2))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(pow (cos b) 3) |
(+ (* -3/2 (* (pow a 2) (pow (cos b) 3))) (pow (cos b) 3)) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* -1 (* a (pow (sin b) 3))))) (pow (cos b) 3)) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))))) (pow (cos b) 3)) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))) (pow (sin b) 2)))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (+ (* a (- (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2)))) (pow (cos b) 3)) (* -3/2 (/ (* r (sin b)) (cos b))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (+ (* a (- (+ (* a (- (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b)))))) (pow (cos b) 3)) (+ (* -3/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -1 (/ (* r (pow (sin b) 4)) (pow (cos b) 4)))))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2)))) (pow (cos b) 3))) (* -3/2 (/ (* r (sin b)) (cos b))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(* b (+ r (* 1/3 (* (pow b 2) r)))) |
(+ (* a (* (pow b 2) r)) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ (* a (+ (* a (* b (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r)))) (* (pow b 2) r))) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ (* a (+ (* a (+ (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))) (* b (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r))))) (* (pow b 2) r))) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ r (* 1/3 (* (pow b 2) r))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (* b r)))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (+ (* a (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r))) (* b r))))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (+ (* a (- (+ (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* (pow b 2) (+ r (* 1/6 r)))) (* -1/2 r))) (* b r))))) |
(sin (* 1/2 (PI))) |
(+ (sin (* 1/2 (PI))) (* -1 (* a (cos (* 1/2 (PI)))))) |
(+ (sin (* 1/2 (PI))) (* a (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* a (sin (* 1/2 (PI)))))))) |
(+ (sin (* 1/2 (PI))) (* a (+ (* -1 (cos (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* a (cos (* 1/2 (PI)))))))))) |
(/ (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))) |
(/ b (sin (* 1/2 (PI)))) |
(+ (/ b (sin (* 1/2 (PI)))) (/ (* a (* b (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ b (sin (* 1/2 (PI)))))))) (* -1 (/ (* b (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))) (/ b (sin (* 1/2 (PI))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (+ (* 1/6 (/ (* b (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* b (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ b (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI)))))))) (+ (* -1 (/ (* b (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ b (sin (* 1/2 (PI)))))))) (* -1 (/ (* b (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))) (/ b (sin (* 1/2 (PI))))) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(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)))))))) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* 7/8 (* (pow a 2) (pow (cos b) 3))))) (pow (cos b) 3)) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* (pow a 2) (+ (* -61/240 (* (pow a 2) (pow (cos b) 3))) (* 7/8 (pow (cos b) 3)))))) (pow (cos b) 3)) |
(+ (* -1 (* (pow a 2) (pow (cos b) 2))) (pow (cos b) 2)) |
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* 1/3 (* (pow a 2) (pow (cos b) 2))))) (pow (cos b) 2)) |
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* (pow a 2) (+ (* -2/45 (* (pow a 2) (pow (cos b) 2))) (* 1/3 (pow (cos b) 2)))))) (pow (cos b) 2)) |
(+ (cos b) (* a (- (* a (- (* -3/2 (cos b)) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (sin b)))) |
(+ (cos b) (* a (- (* a (- (+ (* -3/2 (cos b)) (* a (- (* -1 (/ (pow (sin b) 3) (pow (cos b) 2))) (+ (* -1 (/ (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (pow (cos b) 2))) (+ (* -1/2 (sin b)) (+ (* -1/6 (sin b)) (/ (* (sin b) (- (* -3/2 (cos b)) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (cos b)))))))) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (sin b)))) |
(* -1 (* (pow a 3) (pow (sin b) 3))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* 1/2 (* (pow a 2) (pow (sin b) 3))))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (* (pow a 2) (pow (sin b) 3))) (* 1/2 (pow (sin b) 3)))))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* 1/2 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (pow (sin b) 3)) (* 41/3024 (* (pow a 2) (pow (sin b) 3))))))))) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
1 |
(+ 1 (* -1 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(* -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))))))))) |
(* a (- (* 1/6 (pow b 2)) 1)) |
(* a (- (+ (* -1/6 (* (pow a 2) (- (* 1/6 (pow b 2)) 1))) (* 1/6 (pow b 2))) 1)) |
(* a (- (+ (* 1/6 (pow b 2)) (* (pow a 2) (+ (* -1/6 (- (* 1/6 (pow b 2)) 1)) (* 1/120 (* (pow a 2) (- (* 1/6 (pow b 2)) 1)))))) 1)) |
(* a (- (+ (* 1/6 (pow b 2)) (* (pow a 2) (+ (* -1/6 (- (* 1/6 (pow b 2)) 1)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (- (* 1/6 (pow b 2)) 1))) (* 1/120 (- (* 1/6 (pow b 2)) 1))))))) 1)) |
(- (* (pow (cos a) 2) (pow (cos b) 2)) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b)))))) |
(+ (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* (pow (cos a) 3) (pow (cos b) 3))) |
(- (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b)))))) |
(* b (+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
(+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(sin (- (* 1/2 (PI)) a)) |
(/ (sin b) (cos (+ a b))) |
(/ b (sin (- (* 1/2 (PI)) a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (pow (cos a) 3) (pow (cos b) 3)) |
(* (pow (cos a) 2) (pow (cos b) 2)) |
(/ (+ (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* (pow (cos a) 3) (pow (cos b) 3))) (- (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b))))))) |
(* -1 (* (pow (sin a) 3) (pow (sin b) 3))) |
(* (cos (+ a b)) (cos (- b a))) |
(cos (- b a)) |
(pow (cos a) 2) |
(* -1 (* (sin a) (sin b))) |
(* (sin a) (- (* 1/6 (pow b 2)) 1)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(sin (+ (* -1 a) (* 1/2 (PI)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ b (sin (+ (* -1 a) (* 1/2 (PI))))) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(cos (+ b (* -1 a))) |
(+ (* b (* (cos a) (sin a))) (pow (cos a) 2)) |
(+ (* b (- (* -1 (* b (pow (cos a) 2))) (* -1 (* (cos a) (sin a))))) (pow (cos a) 2)) |
(+ (* b (- (* b (+ (* -1 (pow (cos a) 2)) (* b (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))))) (* -1 (* (cos a) (sin a))))) (pow (cos a) 2)) |
(pow (cos a) 3) |
(+ (* -3/2 (* (pow b 2) (pow (cos a) 3))) (pow (cos a) 3)) |
(+ (* (pow b 2) (+ (* -3/2 (pow (cos a) 3)) (* -1 (* b (pow (sin a) 3))))) (pow (cos a) 3)) |
(+ (* (pow b 2) (+ (* -3/2 (pow (cos a) 3)) (* b (+ (* -1 (pow (sin a) 3)) (* 7/8 (* b (pow (cos a) 3))))))) (pow (cos a) 3)) |
(+ (* b (- (* b (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (* -1 (* (cos a) (sin a))))) (pow (cos a) 2)) |
(+ (* b (- (* b (+ (* -1 (pow (cos a) 2)) (+ (* b (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))) (pow (sin a) 2)))) (* -1 (* (cos a) (sin a))))) (pow (cos a) 2)) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (+ (* b (- (/ (* r (+ (* -1 (pow (cos a) 2)) (+ (* -1/6 (pow (cos a) 2)) (pow (sin a) 2)))) (pow (cos a) 3)) (* -3/2 (/ r (cos a))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(* b (+ (* b (+ (* b (- (+ (* b (- (/ (* r (+ (* -1/6 (* (cos a) (sin a))) (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a)))))) (pow (cos a) 3)) (+ (* -3/2 (/ (* r (sin a)) (pow (cos a) 2))) (* -1 (/ (* r (pow (sin a) 3)) (pow (cos a) 4)))))) (/ (* r (+ (* -1 (pow (cos a) 2)) (+ (* -1/6 (pow (cos a) 2)) (pow (sin a) 2)))) (pow (cos a) 3))) (* -3/2 (/ r (cos a))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* 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 (+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))) |
r |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (pow b 2) (+ (* -3/2 (pow (cos a) 3)) (* 7/8 (* (pow b 2) (pow (cos a) 3))))) (pow (cos a) 3)) |
(+ (* (pow b 2) (+ (* -3/2 (pow (cos a) 3)) (* (pow b 2) (+ (* -61/240 (* (pow b 2) (pow (cos a) 3))) (* 7/8 (pow (cos a) 3)))))) (pow (cos a) 3)) |
(+ (* -1 (* (pow b 2) (pow (cos a) 2))) (pow (cos a) 2)) |
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* 1/3 (* (pow b 2) (pow (cos a) 2))))) (pow (cos a) 2)) |
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* (pow b 2) (+ (* -2/45 (* (pow b 2) (pow (cos a) 2))) (* 1/3 (pow (cos a) 2)))))) (pow (cos a) 2)) |
(+ (cos a) (* b (- (* b (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a)))) |
(+ (cos a) (* b (- (* b (- (+ (* -3/2 (cos a)) (* b (- (* -1 (/ (pow (sin a) 3) (pow (cos a) 2))) (+ (* -1 (/ (* (sin a) (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (pow (cos a) 2))) (+ (* -1/2 (sin a)) (+ (* -1/6 (sin a)) (/ (* (sin a) (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (cos a)))))))) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a)))) |
(* -1 (* (pow b 3) (pow (sin a) 3))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* 1/2 (* (pow b 2) (pow (sin a) 3))))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (* (pow b 2) (pow (sin a) 3))) (* 1/2 (pow (sin a) 3)))))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* 1/2 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (pow (sin a) 3)) (* 41/3024 (* (pow b 2) (pow (sin a) 3))))))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* -1 (sin a)) |
(+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))) |
(* 1/6 b) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(* 1/3 (* (pow b 2) r)) |
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2)))) |
(sin b) |
(* 1/6 (* (pow b 2) (sin a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (* 1/6 (sin a)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (* r (sin a)) (* b (pow (cos a) 2))))))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))) b))))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | a | @ | 0 | ((- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))) (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))) (/ (* r (sin b)) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (* (* b b) r) 1/3) r) (sin (+ (neg a) (/ (PI) 2))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (sin (+ (neg a) (/ (PI) 2)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 2) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))))) (pow (* (neg (sin a)) (sin b)) 3) (* (* b b) r) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 23.0ms | r | @ | 0 | ((- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))) (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))) (/ (* r (sin b)) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (* (* b b) r) 1/3) r) (sin (+ (neg a) (/ (PI) 2))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (sin (+ (neg a) (/ (PI) 2)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 2) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))))) (pow (* (neg (sin a)) (sin b)) 3) (* (* b b) r) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 17.0ms | a | @ | inf | ((- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))) (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))) (/ (* r (sin b)) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (* (* b b) r) 1/3) r) (sin (+ (neg a) (/ (PI) 2))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (sin (+ (neg a) (/ (PI) 2)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 2) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))))) (pow (* (neg (sin a)) (sin b)) 3) (* (* b b) r) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 15.0ms | b | @ | inf | ((- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))) (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))) (/ (* r (sin b)) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (* (* b b) r) 1/3) r) (sin (+ (neg a) (/ (PI) 2))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (sin (+ (neg a) (/ (PI) 2)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 2) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))))) (pow (* (neg (sin a)) (sin b)) 3) (* (* b b) r) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 12.0ms | b | @ | -inf | ((- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))) (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))) (/ (* r (sin b)) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))))) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (+ (* (* (* b b) r) 1/3) r) (sin (+ (neg a) (/ (PI) 2))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ b (sin (+ (neg a) (/ (PI) 2)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 2) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a)))))) (pow (* (neg (sin a)) (sin b)) 3) (* (* b b) r) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1002 | 5241 |
| 1 | 3725 | 4805 |
| 0 | 8094 | 4528 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (* (sin b) (- (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b)))))))) (+ (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* (pow (cos a) 3) (pow (cos b) 3)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* b (* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
(* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* r (+ 1 (* 1/3 (pow b 2)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(* r (sin b)) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* (pow b 2) r) |
(* -1 (* b (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a)))))) |
(* -1 (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a))))) |
(* -1 (* r (- (* -1/3 (pow b 2)) 1))) |
(pow (cos b) 2) |
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2)) |
(+ (* a (- (* -1 (* a (pow (cos b) 2))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(pow (cos b) 3) |
(+ (* -3/2 (* (pow a 2) (pow (cos b) 3))) (pow (cos b) 3)) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* -1 (* a (pow (sin b) 3))))) (pow (cos b) 3)) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))))) (pow (cos b) 3)) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))) (pow (sin b) 2)))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (+ (* a (- (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2)))) (pow (cos b) 3)) (* -3/2 (/ (* r (sin b)) (cos b))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (+ (* a (- (+ (* a (- (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b)))))) (pow (cos b) 3)) (+ (* -3/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -1 (/ (* r (pow (sin b) 4)) (pow (cos b) 4)))))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2)))) (pow (cos b) 3))) (* -3/2 (/ (* r (sin b)) (cos b))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(* b (+ r (* 1/3 (* (pow b 2) r)))) |
(+ (* a (* (pow b 2) r)) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ (* a (+ (* a (* b (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r)))) (* (pow b 2) r))) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ (* a (+ (* a (+ (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))) (* b (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r))))) (* (pow b 2) r))) (* b (+ r (* 1/3 (* (pow b 2) r))))) |
(+ r (* 1/3 (* (pow b 2) r))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (* b r)))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (+ (* a (- (* (pow b 2) (+ r (* 1/6 r))) (* -1/2 r))) (* b r))))) |
(+ r (+ (* 1/3 (* (pow b 2) r)) (* a (+ (* a (- (+ (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* (pow b 2) (+ r (* 1/6 r)))) (* -1/2 r))) (* b r))))) |
(sin (* 1/2 (PI))) |
(+ (sin (* 1/2 (PI))) (* -1 (* a (cos (* 1/2 (PI)))))) |
(+ (sin (* 1/2 (PI))) (* a (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* a (sin (* 1/2 (PI)))))))) |
(+ (sin (* 1/2 (PI))) (* a (+ (* -1 (cos (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* a (cos (* 1/2 (PI)))))))))) |
(/ (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))) |
(/ b (sin (* 1/2 (PI)))) |
(+ (/ b (sin (* 1/2 (PI)))) (/ (* a (* b (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ b (sin (* 1/2 (PI)))))))) (* -1 (/ (* b (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))) (/ b (sin (* 1/2 (PI))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (+ (* 1/6 (/ (* b (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* b (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ b (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI)))))))) (+ (* -1 (/ (* b (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ b (sin (* 1/2 (PI)))))))) (* -1 (/ (* b (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))) (/ b (sin (* 1/2 (PI))))) |
(/ (* r (sin b)) (pow (cos b) 2)) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2))) |
(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)))))))) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* 7/8 (* (pow a 2) (pow (cos b) 3))))) (pow (cos b) 3)) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* (pow a 2) (+ (* -61/240 (* (pow a 2) (pow (cos b) 3))) (* 7/8 (pow (cos b) 3)))))) (pow (cos b) 3)) |
(+ (* -1 (* (pow a 2) (pow (cos b) 2))) (pow (cos b) 2)) |
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* 1/3 (* (pow a 2) (pow (cos b) 2))))) (pow (cos b) 2)) |
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* (pow a 2) (+ (* -2/45 (* (pow a 2) (pow (cos b) 2))) (* 1/3 (pow (cos b) 2)))))) (pow (cos b) 2)) |
(+ (cos b) (* a (- (* a (- (* -3/2 (cos b)) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (sin b)))) |
(+ (cos b) (* a (- (* a (- (+ (* -3/2 (cos b)) (* a (- (* -1 (/ (pow (sin b) 3) (pow (cos b) 2))) (+ (* -1 (/ (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (pow (cos b) 2))) (+ (* -1/2 (sin b)) (+ (* -1/6 (sin b)) (/ (* (sin b) (- (* -3/2 (cos b)) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (cos b)))))))) (+ (* -1 (cos b)) (+ (* -1 (/ (pow (sin b) 2) (cos b))) (/ (pow (sin b) 2) (cos b)))))) (sin b)))) |
(* -1 (* (pow a 3) (pow (sin b) 3))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* 1/2 (* (pow a 2) (pow (sin b) 3))))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (* (pow a 2) (pow (sin b) 3))) (* 1/2 (pow (sin b) 3)))))) |
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* 1/2 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (pow (sin b) 3)) (* 41/3024 (* (pow a 2) (pow (sin b) 3))))))))) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
1 |
(+ 1 (* -1 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(* -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))))))))) |
(* a (- (* 1/6 (pow b 2)) 1)) |
(* a (- (+ (* -1/6 (* (pow a 2) (- (* 1/6 (pow b 2)) 1))) (* 1/6 (pow b 2))) 1)) |
(* a (- (+ (* 1/6 (pow b 2)) (* (pow a 2) (+ (* -1/6 (- (* 1/6 (pow b 2)) 1)) (* 1/120 (* (pow a 2) (- (* 1/6 (pow b 2)) 1)))))) 1)) |
(* a (- (+ (* 1/6 (pow b 2)) (* (pow a 2) (+ (* -1/6 (- (* 1/6 (pow b 2)) 1)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (- (* 1/6 (pow b 2)) 1))) (* 1/120 (- (* 1/6 (pow b 2)) 1))))))) 1)) |
(- (* (pow (cos a) 2) (pow (cos b) 2)) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b)))))) |
(+ (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* (pow (cos a) 3) (pow (cos b) 3))) |
(- (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b)))))) |
(* b (+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
(+ (* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(sin (- (* 1/2 (PI)) a)) |
(/ (sin b) (cos (+ a b))) |
(/ b (sin (- (* 1/2 (PI)) a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (pow (cos a) 3) (pow (cos b) 3)) |
(* (pow (cos a) 2) (pow (cos b) 2)) |
(/ (+ (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* (pow (cos a) 3) (pow (cos b) 3))) (- (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b))))))) |
(* -1 (* (pow (sin a) 3) (pow (sin b) 3))) |
(* (cos (+ a b)) (cos (- b a))) |
(cos (- b a)) |
(pow (cos a) 2) |
(* -1 (* (sin a) (sin b))) |
(* (sin a) (- (* 1/6 (pow b 2)) 1)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(sin (+ (* -1 a) (* 1/2 (PI)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ b (sin (+ (* -1 a) (* 1/2 (PI))))) |
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(cos (+ b (* -1 a))) |
(+ (* b (* (cos a) (sin a))) (pow (cos a) 2)) |
(+ (* b (- (* -1 (* b (pow (cos a) 2))) (* -1 (* (cos a) (sin a))))) (pow (cos a) 2)) |
(+ (* b (- (* b (+ (* -1 (pow (cos a) 2)) (* b (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))))) (* -1 (* (cos a) (sin a))))) (pow (cos a) 2)) |
(pow (cos a) 3) |
(+ (* -3/2 (* (pow b 2) (pow (cos a) 3))) (pow (cos a) 3)) |
(+ (* (pow b 2) (+ (* -3/2 (pow (cos a) 3)) (* -1 (* b (pow (sin a) 3))))) (pow (cos a) 3)) |
(+ (* (pow b 2) (+ (* -3/2 (pow (cos a) 3)) (* b (+ (* -1 (pow (sin a) 3)) (* 7/8 (* b (pow (cos a) 3))))))) (pow (cos a) 3)) |
(+ (* b (- (* b (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (* -1 (* (cos a) (sin a))))) (pow (cos a) 2)) |
(+ (* b (- (* b (+ (* -1 (pow (cos a) 2)) (+ (* b (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a))))) (pow (sin a) 2)))) (* -1 (* (cos a) (sin a))))) (pow (cos a) 2)) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (+ (* b (- (/ (* r (+ (* -1 (pow (cos a) 2)) (+ (* -1/6 (pow (cos a) 2)) (pow (sin a) 2)))) (pow (cos a) 3)) (* -3/2 (/ r (cos a))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(* b (+ (* b (+ (* b (- (+ (* b (- (/ (* r (+ (* -1/6 (* (cos a) (sin a))) (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a)))))) (pow (cos a) 3)) (+ (* -3/2 (/ (* r (sin a)) (pow (cos a) 2))) (* -1 (/ (* r (pow (sin a) 3)) (pow (cos a) 4)))))) (/ (* r (+ (* -1 (pow (cos a) 2)) (+ (* -1/6 (pow (cos a) 2)) (pow (sin a) 2)))) (pow (cos a) 3))) (* -3/2 (/ r (cos a))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* 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 (+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (+ (* b (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))) |
r |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (* b r) (* (cos a) (cos (neg a)))) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a)))))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (pow b 2) (+ (* -3/2 (pow (cos a) 3)) (* 7/8 (* (pow b 2) (pow (cos a) 3))))) (pow (cos a) 3)) |
(+ (* (pow b 2) (+ (* -3/2 (pow (cos a) 3)) (* (pow b 2) (+ (* -61/240 (* (pow b 2) (pow (cos a) 3))) (* 7/8 (pow (cos a) 3)))))) (pow (cos a) 3)) |
(+ (* -1 (* (pow b 2) (pow (cos a) 2))) (pow (cos a) 2)) |
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* 1/3 (* (pow b 2) (pow (cos a) 2))))) (pow (cos a) 2)) |
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* (pow b 2) (+ (* -2/45 (* (pow b 2) (pow (cos a) 2))) (* 1/3 (pow (cos a) 2)))))) (pow (cos a) 2)) |
(+ (cos a) (* b (- (* b (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a)))) |
(+ (cos a) (* b (- (* b (- (+ (* -3/2 (cos a)) (* b (- (* -1 (/ (pow (sin a) 3) (pow (cos a) 2))) (+ (* -1 (/ (* (sin a) (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (pow (cos a) 2))) (+ (* -1/2 (sin a)) (+ (* -1/6 (sin a)) (/ (* (sin a) (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (cos a)))))))) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a)))) |
(* -1 (* (pow b 3) (pow (sin a) 3))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* 1/2 (* (pow b 2) (pow (sin a) 3))))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (* (pow b 2) (pow (sin a) 3))) (* 1/2 (pow (sin a) 3)))))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* 1/2 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (pow (sin a) 3)) (* 41/3024 (* (pow b 2) (pow (sin a) 3))))))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* -1 (sin a)) |
(+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))) |
(* 1/6 b) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(* 1/3 (* (pow b 2) r)) |
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2)))) |
(sin b) |
(* 1/6 (* (pow b 2) (sin a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (* 1/6 (sin a)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (* r (sin a)) (* b (pow (cos a) 2))))))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))) b))))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
| Outputs |
|---|
(/ (* r (* (sin b) (- (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b)))))))) (+ (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* (pow (cos a) 3) (pow (cos b) 3)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a)))) (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)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(* b (* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))) |
(*.f64 (*.f64 r b) (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (cos.f64 a))) (*.f64 b b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
(* r (+ (* (pow b 2) (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (cos.f64 a))) (*.f64 b b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) r) |
(* r (+ 1 (* 1/3 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 b a))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* 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)))) |
(* (pow b 2) r) |
(*.f64 (*.f64 b b) r) |
(* -1 (* b (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a)))))) |
(*.f64 (*.f64 (neg.f64 b) r) (-.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (cos.f64 a))) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* -1 (* r (- (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (* (pow b 2) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/3 (/ 1 (cos a)))))) (/ 1 (cos a))))) |
(*.f64 (neg.f64 r) (-.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (cos.f64 a))) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* -1 (* r (- (* -1/3 (pow b 2)) 1))) |
(*.f64 (neg.f64 r) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(pow (cos b) 2) |
(pow.f64 (cos.f64 b) #s(literal 2 binary64)) |
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2)) |
(fma.f64 (*.f64 (cos.f64 b) a) (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (- (* -1 (* a (pow (cos b) 2))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (neg.f64 a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64)) a (neg.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(pow (cos b) 3) |
(pow.f64 (cos.f64 b) #s(literal 3 binary64)) |
(+ (* -3/2 (* (pow a 2) (pow (cos b) 3))) (pow (cos b) 3)) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a a)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* -1 (* a (pow (sin b) 3))))) (pow (cos b) 3)) |
(fma.f64 (fma.f64 (neg.f64 a) (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 a a) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) |
(+ (* (pow a 2) (+ (* -3/2 (pow (cos b) 3)) (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))))) (pow (cos b) 3)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 7/8 binary64) a) (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 a a) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) a (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (- (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))) (pow (sin b) 2)))) (* -1 (* (cos b) (sin b))))) (pow (cos b) 2)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (cos.f64 b)) (cos.f64 b) (fma.f64 (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64)) a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) a (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (+ (* a (- (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2)))) (pow (cos b) 3)) (* -3/2 (/ (* r (sin b)) (cos b))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 r (/.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (sin.f64 b) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))) a (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(+ (* a (+ (* a (- (+ (* a (- (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b)))))) (pow (cos b) 3)) (+ (* -3/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -1 (/ (* r (pow (sin b) 4)) (pow (cos b) 4)))))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2)))) (pow (cos b) 3))) (* -3/2 (/ (* r (sin b)) (cos b))))) (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
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1 |
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(- (* (pow (cos a) 2) (pow (cos b) 2)) (* -1 (* (cos a) (* (cos b) (* (sin a) (sin b)))))) |
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(* (cos (+ a b)) (cos (- b a))) |
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(pow (cos a) 2) |
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(* -1 (* (sin a) (sin b))) |
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(* (sin a) (- (* 1/6 (pow b 2)) 1)) |
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(pow (cos a) 3) |
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r |
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(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (* (pow b 2) (pow (sin a) 3))) (* 1/2 (pow (sin a) 3)))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -13/120 binary64) (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b b) (neg.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)))) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* 1/2 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (pow (sin a) 3)) (* 41/3024 (* (pow b 2) (pow (sin a) 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal 41/3024 binary64) (*.f64 b b) #s(literal -13/120 binary64))) (*.f64 b b) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64)))) (*.f64 b b) (neg.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)))) (pow.f64 b #s(literal 3 binary64))) |
(* (cos a) (cos (neg a))) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))) (*.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))) (*.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (sin.f64 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (sin.f64 a)))) b (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(cos (neg a)) |
(cos.f64 a) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(fma.f64 (neg.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a)) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (*.f64 #s(literal 1 binary64) (sin.f64 a))) b (cos.f64 a)) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (neg.f64 (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (*.f64 #s(literal 1 binary64) (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 #s(literal 1/6 binary64) (*.f64 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 (sin a)) |
(neg.f64 (sin.f64 a)) |
(+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))) |
(*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(* 1/6 b) |
(*.f64 #s(literal 1/6 binary64) b) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(*.f64 (fma.f64 r (+.f64 (/.f64 (sin.f64 a) (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 r (cos.f64 a)))) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 3) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (cos.f64 a)) (*.f64 r (+.f64 (/.f64 (sin.f64 a) (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b b)) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(*.f64 (fma.f64 r (+.f64 (/.f64 (sin.f64 a) (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 r (cos.f64 a)))) (*.f64 b b)) |
(* (pow b 2) (+ (* 1/3 (/ r (cos a))) (+ (/ r (* (pow b 2) (cos a))) (+ (/ (* r (sin a)) (* b (pow (cos a) 2))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (cos.f64 a)) (*.f64 r (+.f64 (/.f64 (sin.f64 a) (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (*.f64 b b)) |
(* 1/3 (* (pow b 2) r)) |
(*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) |
(* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)) |
(sin b) |
(sin.f64 b) |
(* 1/6 (* (pow b 2) (sin a))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (sin.f64 a)) |
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (* 1/6 (sin a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (*.f64 b b))) (*.f64 b b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (* r (sin a)) (* b (pow (cos a) 2))))))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 (sin.f64 a) b) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) |
(* -1 (* (pow b 3) (+ (* -1 (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (* -1 (/ (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))) b))))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (neg.f64 (+.f64 (/.f64 (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b) (fma.f64 #s(literal 1/3 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))) b)) (+ (* 1/3 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b) #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 b b)) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (neg.f64 b)))) |
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (fma.f64 #s(literal -1 binary64) b a))) (cos.f64 (-.f64 a (neg.f64 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (cos.f64 (-.f64 a (neg.f64 b)))) |
(cos (neg (+ a (* -1 b)))) |
(cos.f64 (fma.f64 #s(literal -1 binary64) b a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 554 |
| 0 | 136 | 534 |
| 1 | 519 | 432 |
| 2 | 4182 | 432 |
| 0 | 8328 | 422 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(+.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 r (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))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
(*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b) |
#s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) |
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) |
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
(/.f64 (*.f64 r (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 (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))) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) |
(/.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)))))) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 b b) r) |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(cos.f64 (-.f64 b a)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
#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 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) b) |
| Outputs |
|---|
(*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (sin.f64 a))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b))))) (neg.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 b)) (cos.f64 a) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 b)) (cos.f64 a) (*.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 b)) (cos.f64 a) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 b)) (cos.f64 a) (*.f64 (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 b)) (cos.f64 a) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 b)) (cos.f64 a) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (sin.f64 a)))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 a)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
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(*.f64 (sin.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) |
(neg.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #s(literal 3 binary64)))) |
(*.f64 (*.f64 r (fabs.f64 b)) (fabs.f64 b)) |
(*.f64 (*.f64 r (neg.f64 b)) (neg.f64 b)) |
(*.f64 (*.f64 r b) b) |
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) r)) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) r)) |
(*.f64 (*.f64 b b) r) |
(*.f64 r (*.f64 b b)) |
(*.f64 b (*.f64 r b)) |
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (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 (sin.f64 a) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (pow.f64 (cos.f64 b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 (-.f64 b a)) #s(literal 0 binary64) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (pow.f64 (cos.f64 b) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) |
(sin.f64 (+.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(cos.f64 (neg.f64 (neg.f64 (-.f64 b a)))) |
(cos.f64 (neg.f64 (-.f64 a b))) |
(cos.f64 (neg.f64 (-.f64 b a))) |
(cos.f64 (-.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(+.f64 (*.f64 (sin.f64 (-.f64 b a)) #s(literal 0 binary64)) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (fabs.f64 (cos.f64 a)) (fabs.f64 (cos.f64 a))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 a))) (exp.f64 (log.f64 (cos.f64 a)))) |
(*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 a))) |
(*.f64 (cos.f64 a) (cos.f64 a)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 a))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (neg.f64 a) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (PI.f64) a))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (neg.f64 a) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (PI.f64) a))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (neg.f64 a) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (PI.f64) a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)) (+.f64 (neg.f64 a) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)) (+.f64 (PI.f64) a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)) (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 (neg.f64 a)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (neg.f64 (neg.f64 a)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64)) |
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(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64)) |
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(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) a))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 a) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) a))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
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(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) a) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (PI.f64) a) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) a) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (PI.f64) a) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) a) (+.f64 (PI.f64) a))) (cos.f64 (-.f64 (+.f64 (PI.f64) a) (+.f64 (PI.f64) a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) a)) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (cos.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (cos.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (neg.f64 a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 a (neg.f64 (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 a (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) a))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) a)) (cos.f64 (-.f64 (neg.f64 a) a))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 a))) (cos.f64 (-.f64 a (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 a))) (cos.f64 a) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (cos.f64 a))) |
(fma.f64 (cos.f64 a) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 a) (*.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 a))) (cos.f64 a)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 a)))) (*.f64 (cos.f64 a) (*.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 a) (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)))) |
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 b (sin.f64 a)) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) |
(*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 a)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1 binary64)) (sin.f64 a)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sin.f64 a) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (neg.f64 (sin.f64 a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (-.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (neg.f64 (sin.f64 a)))))) |
(fma.f64 (*.f64 (sin.f64 a) (*.f64 #s(literal 1/6 binary64) b)) b (neg.f64 (sin.f64 a))) |
(fma.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b) (neg.f64 (sin.f64 a))) |
(fma.f64 (*.f64 (sin.f64 a) b) (*.f64 #s(literal 1/6 binary64) b) (neg.f64 (sin.f64 a))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) (sin.f64 a) (neg.f64 (sin.f64 a))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 b (sin.f64 a)) (neg.f64 (sin.f64 a))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (sin.f64 a)) (neg.f64 (sin.f64 a))) |
(fma.f64 (sin.f64 a) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) (neg.f64 (sin.f64 a))) |
(fma.f64 (sin.f64 a) #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b))) |
(fma.f64 b (*.f64 (*.f64 #s(literal 1/6 binary64) b) (sin.f64 a)) (neg.f64 (sin.f64 a))) |
(-.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (*.f64 #s(literal 1 binary64) (sin.f64 a))) |
(-.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (*.f64 (neg.f64 (sin.f64 a)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (neg.f64 (sin.f64 a))) |
(+.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b))) |
(*.f64 #s(literal 1/6 binary64) b) |
(*.f64 b #s(literal 1/6 binary64)) |
Compiled 41 430 to 4 185 computations (89.9% saved)
88 alts after pruning (79 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 788 | 28 | 816 |
| Fresh | 12 | 51 | 63 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 8 | 8 |
| Total | 804 | 88 | 892 |
| Status | Accuracy | Program |
|---|---|---|
| 77.3% | (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) | |
| 53.7% | (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) | |
| 63.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 63.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 76.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (+.f64 (cosh.f64 (log.f64 (cos.f64 a))) (sinh.f64 (log.f64 (cos.f64 a)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 76.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (exp.f64 (log.f64 (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 68.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 63.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (pow.f64 (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 (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))))))) | |
| 76.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (cos.f64 a) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (cos.f64 a) #s(literal 3/2 binary64)) (pow.f64 (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 (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))))))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))) | |
| 78.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))))) | |
| 39.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) | |
| 38.2% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| ✓ | 77.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin 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 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a))))))) | |
| 49.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 61.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| ✓ | 60.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
| 37.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) | |
| 38.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| ✓ | 52.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
| 32.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) | |
| 33.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) | |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (*.f64 (neg.f64 a) (-.f64 (sin.f64 b) (/.f64 (cos.f64 b) a)))))) | |
| 34.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| 37.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) | |
| 47.8% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 48.5% | (/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) 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)))) | |
| 47.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 48.2% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 47.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 77.3% | (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) | |
| 37.6% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 39.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) | |
| 39.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 38.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| 52.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) | |
| 52.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 63.0% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| 37.0% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 36.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 52.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) | |
| 38.6% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| 39.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| 39.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) | |
| 39.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) | |
| 53.5% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a))) | |
| 39.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))) (cos.f64 (-.f64 b a))) | |
| 76.9% | (*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) | |
| 60.5% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))) r) | |
| 60.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) r) | |
| 52.3% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) | |
| 76.8% | (*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) | |
| 77.2% | (*.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) | |
| 77.3% | (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) | |
| 77.4% | (*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) | |
| 47.8% | (*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (cos.f64 (-.f64 b a))) | |
| 63.0% | (*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) | |
| 61.6% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) | |
| 35.5% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64))))) r) | |
| 33.4% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) | |
| ✓ | 48.0% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
| 31.8% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (fma.f64 (neg.f64 a) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) r) | |
| 33.5% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)))))) r) | |
| 31.8% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) | |
| 32.0% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) | |
| 47.6% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)) r) | |
| 27.2% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) | |
| 27.3% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) | |
| 99.2% | #s(approx (/ (* r (sin b)) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))))) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a)))) (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))))) | |
| 61.6% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 48.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| ✓ | 48.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 31.9% | #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)) | |
| 32.0% | #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)) | |
| ✓ | 32.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
| 31.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 binary64))) r)) b)) | |
| 12.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) b)) | |
| 12.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) | |
| ✓ | 32.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| 31.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
Compiled 6 544 to 2 443 computations (62.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (*.f64 (sin.f64 b) (/.f64 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)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (fma.f64 (neg.f64 a) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) |
(/.f64 #s(approx (* r (sin b)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (*.f64 (neg.f64 a) (-.f64 (sin.f64 b) (/.f64 (cos.f64 b) a)))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) 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 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64))))) r) |
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) r) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)) r) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #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 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (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 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))) (cos.f64 (-.f64 (-.f64 (neg.f64 a) b) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))) r) |
(/.f64 (*.f64 r (sin.f64 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 r (sin.f64 b)) (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))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (exp.f64 (log.f64 (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r #s(approx (cos a) #s(literal 1 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (+.f64 (cosh.f64 (log.f64 (cos.f64 a))) (sinh.f64 (log.f64 (cos.f64 a)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 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 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (pow.f64 (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 (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 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))) |
#s(approx (/ (* r (sin b)) (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin a))))))) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a)))) (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))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ (+ (pow (* (neg (sin a)) (sin b)) 3) (pow (* (cos a) (cos b)) 3)) (+ (pow (* (sin a) (sin b)) 2) (- (pow (* (cos a) (cos b)) 2) (* (* (* (cos a) (cos b)) (sin b)) (neg (sin 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 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (cos.f64 a) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (cos.f64 a) #s(literal 3/2 binary64)) (pow.f64 (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 (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 r (sin.f64 b)) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
4 calls:
| 47.0ms | b |
| 46.0ms | r |
| 30.0ms | a |
| 30.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (*.f64 (sin.f64 b) (/.f64 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)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (fma.f64 (neg.f64 a) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) |
(/.f64 #s(approx (* r (sin b)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (*.f64 (neg.f64 a) (-.f64 (sin.f64 b) (/.f64 (cos.f64 b) a)))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) 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 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64))))) r) |
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) r) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)) r) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #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 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (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 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))) (cos.f64 (-.f64 (-.f64 (neg.f64 a) b) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
4 calls:
| 38.0ms | a |
| 32.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 25.0ms | r |
| 25.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 77.4% | 1 | r |
| 77.4% | 1 | a |
| 77.4% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (*.f64 (sin.f64 b) (/.f64 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)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
4 calls:
| 38.0ms | a |
| 11.0ms | r |
| 11.0ms | b |
| 10.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 77.3% | 1 | r |
| 77.3% | 1 | a |
| 77.3% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (*.f64 (sin.f64 b) (/.f64 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)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) |
4 calls:
| 11.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 10.0ms | b |
| 10.0ms | a |
| 10.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 63.7% | 2 | r |
| 77.2% | 3 | a |
| 76.9% | 3 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (*.f64 (sin.f64 b) (/.f64 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)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 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 r (cos.f64 b)) (sin.f64 b))) |
2 calls:
| 11.0ms | b |
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 3 | b |
| 75.6% | 3 | a |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
4 calls:
| 11.0ms | r |
| 8.0ms | b |
| 8.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.0% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 48.0% | 1 | r |
| 48.0% | 1 | a |
| 52.8% | 3 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (sin (+ (neg a) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) a) b #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) r) |
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b) a) b #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
2 calls:
| 5.0ms | b |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.0% | 1 | a |
| 48.0% | 1 | b |
Compiled 2 to 6 computations (-200% saved)
Total -19.1b remaining (-44.3%)
Threshold costs -19.1b (-44.3%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)) b)) |
#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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 #s(literal 1/3 binary64) (*.f64 b b))) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) (fma.f64 r (fma.f64 a b (*.f64 (*.f64 b b) #s(literal 1/3 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b (*.f64 (*.f64 (*.f64 b b) r) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* (* (+ (* (/ r (cos a)) 1/3) (* (/ r (pow (cos a) 3)) (pow (sin a) 2))) b) b) (/ (+ (* (/ b (cos a)) (* (sin a) r)) r) (cos a))) #s(approx (+ (* (* (* b b) r) 1/3) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))) 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)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) b) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #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))))) r) |
#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))) |
4 calls:
| 5.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.6% | 1 | r |
| 32.6% | 1 | b |
| 32.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 32.6% | 1 | a |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.0442118969261985e-8 | 6.964421443146413e-6 |
| 17.0ms | -0.0003863338477615961 | -1.3900979789910406e-5 |
| 18.0ms | 110× | 1 | valid |
| 9.0ms | 114× | 0 | valid |
Compiled 418 to 364 computations (12.9% saved)
ival-cos: 6.0ms (32.8% of total)ival-sin: 5.0ms (27.3% of total)ival-add: 2.0ms (10.9% of total)ival-div: 2.0ms (10.9% of total)adjust: 2.0ms (10.9% of total)ival-mult: 2.0ms (10.9% 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 |
|---|---|---|
| 17.0ms | 7.133751967623047e-9 | 7.22291784358164e-7 |
| 26.0ms | -3.176152301684015e-6 | -9.968243811653391e-19 |
| 18.0ms | 117× | 1 | valid |
| 14.0ms | 155× | 0 | valid |
Compiled 573 to 473 computations (17.5% saved)
ival-mult: 6.0ms (27% of total)ival-cos: 6.0ms (27% of total)ival-sin: 3.0ms (13.5% of total)ival-add: 2.0ms (9% of total)ival-div: 2.0ms (9% of total)adjust: 2.0ms (9% 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 |
|---|---|---|
| 24.0ms | 0.09776639507464985 | 36.93103820905741 |
| 17.0ms | -0.006402621262521013 | -3.176152301684015e-6 |
| 16.0ms | 107× | 1 | valid |
| 15.0ms | 149× | 0 | valid |
Compiled 636 to 494 computations (22.3% saved)
ival-cos: 7.0ms (33.7% of total)ival-sin: 6.0ms (28.9% of total)ival-add: 2.0ms (9.6% of total)ival-div: 2.0ms (9.6% of total)adjust: 2.0ms (9.6% of total)ival-mult: 2.0ms (9.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1025484384968.6245 | 543947923380269.25 |
| 34.0ms | -186295039176109000.0 | -6668302453659.96 |
| 48.0ms | 234× | 1 | valid |
| 2.0ms | 22× | 0 | valid |
Compiled 492 to 430 computations (12.6% saved)
ival-cos: 19.0ms (46% of total)ival-sin: 10.0ms (24.2% of total)adjust: 4.0ms (9.7% of total)ival-add: 3.0ms (7.3% of total)ival-div: 3.0ms (7.3% of total)ival-mult: 2.0ms (4.8% 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 | 74 | 237 |
| 1 | 112 | 237 |
| 2 | 142 | 237 |
| 3 | 171 | 237 |
| 4 | 183 | 237 |
| 5 | 202 | 237 |
| 6 | 234 | 237 |
| 7 | 304 | 237 |
| 8 | 495 | 237 |
| 9 | 1041 | 237 |
| 10 | 2573 | 237 |
| 11 | 5579 | 237 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(if (<=.f64 a #s(literal -9002011107970261/295147905179352825856 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 8028023020878397/1180591620717411303424 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r))) |
(if (<=.f64 b #s(literal -1770887431076117/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 6611313076017503/9444732965739290427392 binary64)) #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 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 19/2 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -105000000000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 1320000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
#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))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(if (<=.f64 a #s(literal -9002011107970261/295147905179352825856 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 8028023020878397/1180591620717411303424 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r))) |
(if (or (<=.f64 a #s(literal -9002011107970261/295147905179352825856 binary64)) (not (<=.f64 a #s(literal 8028023020878397/1180591620717411303424 binary64)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(if (<=.f64 b #s(literal -1770887431076117/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 6611313076017503/9444732965739290427392 binary64)) #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 r (cos.f64 b)) (sin.f64 b))))) |
(if (or (<=.f64 b #s(literal -1770887431076117/590295810358705651712 binary64)) (not (<=.f64 b #s(literal 6611313076017503/9444732965739290427392 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(if (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 19/2 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (or (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (not (<=.f64 b #s(literal 19/2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -105000000000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 1320000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (or (<=.f64 b #s(literal -105000000000000 binary64)) (not (<=.f64 b #s(literal 1320000000000 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) #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 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 176 |
| 0 | 61 | 183 |
| 1 | 182 | 162 |
| 2 | 1235 | 162 |
| 0 | 8961 | 162 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 46 | 19 |
| 2 | 266 | 19 |
| 3 | 2853 | 19 |
| 0 | 8286 | 19 |
| 0 | 537 | 2454 |
| 1 | 2003 | 2084 |
| 0 | 8395 | 1959 |
| 0 | 167 | 593 |
| 1 | 569 | 562 |
| 2 | 2016 | 518 |
| 3 | 7405 | 515 |
| 0 | 9145 | 482 |
| 0 | 573 | 2676 |
| 1 | 2122 | 2501 |
| 0 | 8436 | 2334 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 380 to 195 computations (48.7% saved)
(negabs r)
Compiled 556 to 220 computations (60.4% saved)
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