
Time bar (total: 8.6s)
| 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)
| 1.6s | 5 989× | 1 | valid |
| 151.0ms | 2 267× | 0 | valid |
ival-cos: 748.0ms (54.1% of total)ival-sin: 238.0ms (17.2% of total)adjust: 155.0ms (11.2% of total)ival-add: 94.0ms (6.8% of total)ival-div: 75.0ms (5.4% of total)ival-mult: 62.0ms (4.5% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 69 | 128 | (-7.62354695460957e+195 -2.985649542798514e-194 -1.8641594689303438e+298) | 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 | 197 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 69 | 0 |
| - | 128 | 59 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 69 | 0 | 0 |
| - | 128 | 0 | 59 |
| number | freq |
|---|---|
| 0 | 59 |
| 1 | 197 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 75.0ms | 388× | 1 | valid |
| 9.0ms | 124× | 0 | valid |
Compiled 63 to 28 computations (55.6% saved)
ival-cos: 20.0ms (32.8% of total)ival-sin: 12.0ms (19.7% of total)adjust: 10.0ms (16.4% of total)ival-mult: 8.0ms (13.1% of total)ival-add: 5.0ms (8.2% of total)ival-div: 4.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 90 |
| 1 | 101 | 88 |
| 2 | 250 | 88 |
| 3 | 571 | 88 |
| 4 | 1004 | 88 |
| 5 | 1989 | 88 |
| 6 | 4002 | 88 |
| 7 | 7383 | 88 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 42 | 9 |
| 3 | 64 | 9 |
| 4 | 76 | 9 |
| 5 | 78 | 9 |
| 6 | 92 | 9 |
| 7 | 125 | 9 |
| 8 | 230 | 9 |
| 9 | 570 | 9 |
| 10 | 1511 | 9 |
| 11 | 3327 | 9 |
| 12 | 6752 | 9 |
| 0 | 8024 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.9% | (/.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 | 0.0078125 | (sin.f64 b) | |
| accuracy | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.706278904583773 | (cos.f64 (+.f64 a b)) |
| 36.0ms | 194× | 1 | valid |
| 4.0ms | 62× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-cos: 8.0ms (30.4% of total)ival-sin: 6.0ms (22.8% of total)adjust: 5.0ms (19% of total)ival-add: 3.0ms (11.4% of total)ival-div: 2.0ms (7.6% of total)ival-mult: 2.0ms (7.6% 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 | |
|---|---|---|---|---|
| 3.0ms | r | @ | inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | b | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 593 |
| 1 | 569 | 562 |
| 2 | 2016 | 518 |
| 3 | 7405 | 515 |
| 0 | 9145 | 482 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) r)) (cos.f64 b)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 a) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (cos.f64 b))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))) (sin.f64 b))) (cos.f64 b)) (neg.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a)) a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) r)) (cos.f64 a))) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b) |
(* b r) |
(*.f64 b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64))) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) b (cos.f64 a)) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 46 | 19 |
| 2 | 266 | 19 |
| 3 | 2853 | 19 |
| 0 | 8286 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) |
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) |
(sin.f64 b) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(fma.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(fma.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))))) |
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) |
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (PI.f64))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(-.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b))))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 a b))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (sin.f64 a))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (neg.f64 (neg.f64 (sin.f64 b))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (+.f64 a b))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (-.f64 b (neg.f64 a))) |
(cos.f64 (-.f64 (neg.f64 a) b)) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
Compiled 4 641 to 744 computations (84% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 22 | 182 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 160 | 23 | 183 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 49.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.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))))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| ▶ | 34.8% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
| 35.0% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| ✓ | 76.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| ▶ | 44.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
| 59.2% | (/.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)))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) | |
| 45.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) | |
| ▶ | 61.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 43.9% | (/.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))) | |
| 43.6% | (/.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))) | |
| 43.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.3% | (*.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)))) | |
| 76.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 76.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 76.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 61.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) | |
| ▶ | 44.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
Compiled 887 to 600 computations (32.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| cost-diff | 4 | (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (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)) (cos.f64 b))) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 r (cos.f64 a)) | |
| cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 248 |
| 0 | 63 | 240 |
| 1 | 113 | 240 |
| 2 | 202 | 240 |
| 3 | 359 | 240 |
| 4 | 734 | 240 |
| 5 | 1755 | 240 |
| 6 | 3922 | 240 |
| 7 | 7875 | 240 |
| 0 | 8871 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(-.f64 (neg.f64 b) a) |
(neg.f64 b) |
a |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) |
(*.f64 (cos.f64 a) #s(literal -1/2 binary64)) |
(cos.f64 a) |
a |
#s(literal -1/2 binary64) |
(sin.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 a (neg.f64 b))) |
(-.f64 (neg.f64 b) a) |
(neg.f64 b) |
a |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) |
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) |
(-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) |
(*.f64 (cos.f64 a) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 a)) |
(cos.f64 a) |
a |
#s(literal -1/2 binary64) |
(sin.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) | |
| accuracy | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) | |
| accuracy | 35.95877298982977 | #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) | |
| accuracy | 0.01171875 | (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| accuracy | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| accuracy | 43.427047145875534 | (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| accuracy | 0.0078125 | (sin.f64 b) | |
| accuracy | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| accuracy | 25.949770422731678 | #s(approx (cos (+ a b)) (cos.f64 b)) | |
| accuracy | 0.0 | (cos.f64 a) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| accuracy | 0.125 | (/.f64 r (cos.f64 a)) | |
| accuracy | 35.82069934430801 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| accuracy | 0.0859375 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.10841752930532605 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 198.0ms | 196× | 1 | valid |
| 17.0ms | 60× | 0 | valid |
Compiled 212 to 34 computations (84% saved)
ival-sin: 36.0ms (24.5% of total)ival-cos: 26.0ms (17.7% of total)ival-div: 25.0ms (17% of total)adjust: 19.0ms (12.9% of total)ival-mult: 18.0ms (12.3% of total)ival-add: 14.0ms (9.5% of total)ival-sub: 4.0ms (2.7% of total)ival-neg: 3.0ms (2% of total)ival-pi: 2.0ms (1.4% 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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (cos (+ a b)) (cos.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 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(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))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b))))))))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))) |
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(- (* 1/2 (PI)) b) |
(- (+ (* -1 a) (* 1/2 (PI))) b) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(cos (+ a b)) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(* (cos a) (cos b)) |
(* -1 a) |
(* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a)))) |
(* -1/2 (* b (cos a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) 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)))))))) |
(+ (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 (- (* 1/2 (PI)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(- (* 1/2 (PI)) a) |
(- (+ (* -1 b) (* 1/2 (PI))) a) |
(sin b) |
(* -1 b) |
(* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | a | @ | inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (- (neg b) a) (/ (PI) 2))) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (+ (- (neg b) a) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 7.0ms | a | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (- (neg b) a) (/ (PI) 2))) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (+ (- (neg b) a) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 7.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (- (neg b) a) (/ (PI) 2))) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (+ (- (neg b) a) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 6.0ms | r | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (- (neg b) a) (/ (PI) 2))) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (+ (- (neg b) a) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 5.0ms | r | @ | inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (- (neg b) a) (/ (PI) 2))) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (+ (- (neg b) a) (/ (PI) 2)) (* (* (cos a) -1/2) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 447 | 1971 |
| 1 | 1573 | 1864 |
| 2 | 6230 | 1822 |
| 0 | 8528 | 1726 |
| 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 (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(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))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b))))))))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))) |
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(- (* 1/2 (PI)) b) |
(- (+ (* -1 a) (* 1/2 (PI))) b) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(cos (+ a b)) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(* (cos a) (cos b)) |
(* -1 a) |
(* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a)))) |
(* -1/2 (* b (cos a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) 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)))))))) |
(+ (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 (- (* 1/2 (PI)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(- (* 1/2 (PI)) a) |
(- (+ (* -1 b) (* 1/2 (PI))) a) |
(sin b) |
(* -1 b) |
(* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) 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) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (fma.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) r (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) r (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (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 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(* b r) |
(*.f64 b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 b r)) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
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(cos a) |
(cos.f64 a) |
(cos (+ a b)) |
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(sin (- (* 1/2 (PI)) (+ a b))) |
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b |
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(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) b (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 2 binary64))) r)) b (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 2 binary64))) r) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))) (-.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))) b (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 2 binary64))) r)) b (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) b) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #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 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))))) |
(- (* 1/2 (PI)) a) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(- (+ (* -1 b) (* 1/2 (PI))) a) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)) |
(sin b) |
(sin.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) #s(literal 1 binary64)) 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)) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)))) |
(* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) b (neg.f64 b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 163 |
| 0 | 63 | 167 |
| 1 | 231 | 139 |
| 2 | 1721 | 139 |
| 0 | 9252 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (cos (+ a b)) (cos.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 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) 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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (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 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (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))) (sin.f64 (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 a (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 a (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 a (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
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(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
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(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
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(-.f64 (*.f64 (neg.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)))))) |
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(-.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 b)) (neg.f64 (sin.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 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 b) a)))) |
(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 (neg.f64 (+.f64 a b)))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(cos.f64 (-.f64 (neg.f64 a) b)) |
(cos.f64 (-.f64 b (neg.f64 a))) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (+.f64 a b)) |
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(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 (neg.f64 r) b) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 b (neg.f64 r)) (neg.f64 (cos.f64 a))) |
(/.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a))) |
(/.f64 r (cos.f64 a)) |
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 a))) |
(neg.f64 (/.f64 r (neg.f64 (cos.f64 a)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 #s(literal 0 binary64) (sin.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 a)))) |
(cos.f64 (neg.f64 (neg.f64 a))) |
(cos.f64 (neg.f64 a)) |
(cos.f64 a) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 #s(literal 0 binary64) (sin.f64 a))) |
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b))))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b))))) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
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(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (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)) |
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(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (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))) (sin.f64 (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (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)) |
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(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 b b (+.f64 (pow.f64 (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (neg.f64 b) a)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (+.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) (fma.f64 b b (*.f64 (neg.f64 a) a)))) (*.f64 #s(literal -2 binary64) (+.f64 (neg.f64 b) a))) |
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)))) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) (fma.f64 b b (*.f64 (neg.f64 a) a)))) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 b) a))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)))) |
(/.f64 (fma.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) #s(literal -2 binary64) (*.f64 (+.f64 (neg.f64 b) a) (neg.f64 (PI.f64)))) (*.f64 (+.f64 (neg.f64 b) a) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)) #s(literal 2 binary64) (*.f64 (+.f64 (neg.f64 b) a) (PI.f64))) (*.f64 (+.f64 (neg.f64 b) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (neg.f64 (PI.f64)))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (neg.f64 b) a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (neg.f64 b) a)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (-.f64 (neg.f64 b) a)) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (neg.f64 b) a)) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (-.f64 (neg.f64 b) a)) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (neg.f64 b) a)) |
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) a) |
(-.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64)) (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (neg.f64 b) a)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64)))) (/.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 (neg.f64 b) a)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (neg.f64 b) a)) |
(+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) |
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b)) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) |
Compiled 13 903 to 2 006 computations (85.6% saved)
45 alts after pruning (41 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 33 | 471 |
| Fresh | 9 | 8 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 449 | 45 | 494 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 59.7% | (/.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 (*.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)))))) | |
| 59.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 59.3% | (/.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)))))) | |
| 63.1% | (/.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))))) | |
| 59.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)))))))) | |
| 44.7% | (/.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 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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)))) |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 18.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal 2 binary64))))) | |
| ▶ | 35.0% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
| 32.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) b (neg.f64 b))))) | |
| 34.8% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) | |
| 15.0% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 b)))) | |
| 15.4% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 a)))) | |
| ✓ | 76.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) | |
| 45.6% | (/.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)))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| ✓ | 61.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 43.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 28.8% | (/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| ▶ | 43.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 29.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 43.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) | |
| ▶ | 29.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
| 43.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.3% | (*.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)))) | |
| 76.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 76.8% | (*.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)))) | |
| 76.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 61.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) | |
| 61.7% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 29.7% | #s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) | |
| 43.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 29.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) | |
| 29.7% | #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)) | |
| ✓ | 44.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 28.2% | #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)) | |
| 28.3% | #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)) | |
| 28.2% | #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)) | |
| 43.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| ▶ | 29.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 2 009 to 1 430 computations (28.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) | |
| cost-diff | 0 | #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| cost-diff | 4 | (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) | |
| cost-diff | 0 | #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) | |
| 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 (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 | 42 | 312 |
| 0 | 69 | 312 |
| 1 | 131 | 304 |
| 2 | 252 | 304 |
| 3 | 588 | 304 |
| 4 | 1524 | 298 |
| 5 | 3459 | 298 |
| 6 | 6635 | 298 |
| 0 | 8039 | 292 |
| 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))) #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 (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 b b) |
b |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
r |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 b b) |
b |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 b) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.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)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.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))) #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 (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 b b) |
b |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
r |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(cos.f64 (+.f64 a b)) |
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
a |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 b b) |
b |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
r |
(fma.f64 (sin.f64 b) (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 a) (cos.f64 b))) |
(sin.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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20703125 | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| accuracy | 0.3393683853558779 | (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 5.943447691550495 | (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) | |
| accuracy | 35.88613689789451 | #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) | |
| accuracy | 0.0078125 | (sin.f64 b) | |
| accuracy | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) | |
| accuracy | 43.19624807020259 | (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) | |
| accuracy | 0.3393683853558779 | (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 5.943447691550495 | (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) | |
| accuracy | 25.949770422731678 | #s(approx (cos (+ a b)) (cos.f64 b)) | |
| accuracy | 35.88613689789451 | #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) | |
| accuracy | 0.0 | (*.f64 b r) | |
| accuracy | 23.505376902121505 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| accuracy | 35.82069934430801 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| accuracy | 0.11947250976844202 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) | |
| accuracy | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.203125 | (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 184.0ms | 196× | 1 | valid |
| 39.0ms | 60× | 0 | valid |
Compiled 259 to 38 computations (85.3% saved)
ival-add: 47.0ms (28.5% of total)ival-cos: 26.0ms (15.8% of total)ival-sin: 24.0ms (14.6% of total)ival-mult: 22.0ms (13.4% of total)adjust: 20.0ms (12.1% of total)ival-div: 17.0ms (10.3% of total)const: 6.0ms (3.6% of total)ival-pi: 2.0ms (1.2% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.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))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
| 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) |
(* b (* r (+ 1 (* -1/6 (pow b 2))))) |
(* r (+ 1 (* -1/6 (pow b 2)))) |
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI)))))) |
(/ (* 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 (* 1/2 (PI)))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI)))))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI))))))))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI))))))))))) |
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))) |
(+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(* -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))))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(sin (+ a (+ b (* 1/2 (PI))))) |
(* -1 (* (sin a) (sin b))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(sin (- (+ b (* 1/2 (PI))) (* -1 a))) |
(/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a)))) |
(cos (- b (* -1 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
r |
(+ r (* -1/6 (* (pow b 2) r))) |
(sin (+ a (* 1/2 (PI)))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI)))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI))))))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI))))))))))) |
(/ (* b r) (sin (+ a (* 1/2 (PI))))) |
(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* -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))))))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
1 |
(+ 1 (* -1/6 (pow b 2))) |
(sin b) |
(* -1/6 (* (pow b 3) r)) |
(* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2)))) |
(* -1/6 (* (pow b 2) r)) |
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2)))) |
(* -1/6 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r)))) |
(sin (- (+ a (* 1/2 (PI))) (* -1 b))) |
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | b | @ | 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) (* b r) (* (* (+ (* (* b b) -1/6) 1) r) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (* b b) -1/6) 1)) |
| 22.0ms | 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) (* b r) (* (* (+ (* (* b b) -1/6) 1) r) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (* b b) -1/6) 1)) |
| 7.0ms | 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) (* b r) (* (* (+ (* (* b b) -1/6) 1) r) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (* b b) -1/6) 1)) |
| 6.0ms | 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) (* b r) (* (* (+ (* (* b b) -1/6) 1) r) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (* b b) -1/6) 1)) |
| 4.0ms | 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) (* b r) (* (* (+ (* (* b b) -1/6) 1) r) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (* b b) -1/6) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 1840 |
| 1 | 1401 | 1750 |
| 2 | 5636 | 1738 |
| 0 | 8518 | 1569 |
| 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) |
(* b (* r (+ 1 (* -1/6 (pow b 2))))) |
(* r (+ 1 (* -1/6 (pow b 2)))) |
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI)))))) |
(/ (* 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 (* 1/2 (PI)))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI)))))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI))))))))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI))))))))))) |
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))) |
(+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))) |
(* -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))))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(sin (+ a (+ b (* 1/2 (PI))))) |
(* -1 (* (sin a) (sin b))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(sin (- (+ b (* 1/2 (PI))) (* -1 a))) |
(/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a)))) |
(cos (- b (* -1 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
r |
(+ r (* -1/6 (* (pow b 2) r))) |
(sin (+ a (* 1/2 (PI)))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI)))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI))))))))) |
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI))))))))))) |
(/ (* b r) (sin (+ a (* 1/2 (PI))))) |
(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI))))))) |
(* -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))))))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
1 |
(+ 1 (* -1/6 (pow b 2))) |
(sin b) |
(* -1/6 (* (pow b 3) r)) |
(* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2)))) |
(* -1/6 (* (pow b 2) r)) |
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2)))) |
(* -1/6 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r)))) |
(sin (- (+ a (* 1/2 (PI))) (* -1 b))) |
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -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) |
(* b (* r (+ 1 (* -1/6 (pow b 2))))) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r) |
(* r (+ 1 (* -1/6 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) a)) |
(+ (* 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 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (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 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (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 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (neg.f64 a) a) (*.f64 #s(literal -5/24 binary64) (*.f64 b r)))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
(sin (+ b (* 1/2 (PI)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI)))))) |
(fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) |
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI))))))))) |
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b |
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(cos a) |
(cos.f64 a) |
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r |
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(sin (+ a (* 1/2 (PI)))) |
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1 |
#s(literal 1 binary64) |
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(sin b) |
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(* -1/6 (* (pow b 3) r)) |
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)) r) |
(* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))) |
(* -1/6 (* (pow b 2) r)) |
(*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64)) |
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) b) b) |
(* -1/6 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -1/6 binary64)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b) b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r)))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) r (/.f64 (/.f64 (neg.f64 r) b) b))) |
(sin (- (+ a (* 1/2 (PI))) (* -1 b))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))) |
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 189 |
| 0 | 69 | 160 |
| 1 | 250 | 160 |
| 2 | 1656 | 160 |
| 0 | 9019 | 160 |
| 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))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
| 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 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (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))) |
(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 (fma.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (*.f64 (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))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (*.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))) (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 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.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 b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 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 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (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 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (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 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64)) |
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(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
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(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(sin.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
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(sin.f64 (-.f64 a (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
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(-.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))))))) |
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(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b))))) |
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(cos.f64 (neg.f64 (-.f64 b (neg.f64 a)))) |
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(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(cos.f64 (+.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)) |
(cos.f64 (-.f64 a (neg.f64 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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(sin.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
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(-.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))))))) |
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(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
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(cos.f64 (neg.f64 (neg.f64 (+.f64 a b)))) |
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(cos.f64 (+.f64 a b)) |
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (*.f64 #s(literal -1/6 binary64) b))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) |
Compiled 12 538 to 1 611 computations (87.2% saved)
59 alts after pruning (53 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 21 | 398 |
| Fresh | 4 | 32 | 36 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 384 | 59 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 59.7% | (/.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 (*.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)))))) | |
| 59.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 59.3% | (/.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)))))) | |
| 63.1% | (/.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))))) | |
| 59.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)))))))) | |
| 44.7% | (/.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 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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)))) |
| 61.5% | (/.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 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))) | |
| ▶ | 51.1% | (/.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)))) |
| 64.2% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) | |
| 66.4% | (/.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))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 18.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal 2 binary64))))) | |
| 32.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) b (neg.f64 b))))) | |
| ▶ | 34.8% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
| 15.0% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 b)))) | |
| 15.4% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 a)))) | |
| ✓ | 76.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 45.6% | (/.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)))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 a))) | |
| 34.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) | |
| 33.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| ✓ | 61.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
| 43.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 28.8% | (/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 29.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 44.1% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 29.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 44.3% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))) | |
| 43.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) | |
| 43.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) | |
| ▶ | 29.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
| 12.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 29.1% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 12.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 43.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 15.3% | (/.f64 #s(approx (* r (sin b)) #s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 76.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 76.8% | (*.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)))) | |
| 76.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 61.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) | |
| 43.7% | (*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (+.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)))) | |
| 43.8% | (*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) | |
| 43.8% | (*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 61.7% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 29.7% | #s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) | |
| 29.2% | #s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| 43.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 29.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) | |
| 29.7% | #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)) | |
| ✓ | 44.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 28.2% | #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)) | |
| 28.3% | #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)) | |
| ▶ | 28.2% | #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)) |
| 43.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| ✓ | 29.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 2 831 to 2 024 computations (28.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 1 | (*.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 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r) | |
| cost-diff | 0 | #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) | |
| cost-diff | 0 | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| cost-diff | 2 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) | |
| cost-diff | 0 | #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| cost-diff | 0 | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 394 |
| 0 | 96 | 394 |
| 1 | 172 | 394 |
| 2 | 369 | 394 |
| 3 | 879 | 386 |
| 4 | 2226 | 383 |
| 5 | 4626 | 383 |
| 6 | 7730 | 383 |
| 0 | 8046 | 379 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) |
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
r |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
b |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 b b) |
b |
#s(literal 1 binary64) |
r |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)))) |
#s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(-.f64 (neg.f64 b) a) |
(neg.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) |
(/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
r |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
b |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 b b) |
b |
#s(literal 1 binary64) |
r |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)))) |
(sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))) |
#s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))) |
#s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(-.f64 (neg.f64 b) a) |
(neg.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 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) (neg.f64 (sin.f64 a)))))) |
(*.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 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) (neg.f64 (sin.f64 a))))) |
(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 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) (neg.f64 (sin.f64 a)))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) (neg.f64 (sin.f64 a))) |
(*.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 | 0.203125 | (/.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 | 0.30859375 | (*.f64 #s(literal 1/6 binary64) b) | |
| accuracy | 3.8981996482374157 | (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) | |
| accuracy | 36.010574658885886 | #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 | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.203125 | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 43.21765449994798 | (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)))) | |
| accuracy | 0.3393683853558779 | (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) | |
| accuracy | 3.2919870584488713 | (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r) | |
| accuracy | 25.770380708533366 | #s(approx (cos (+ a b)) (cos.f64 b)) | |
| accuracy | 35.88613689789451 | #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) | |
| accuracy | 0.125 | (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 27.723548275858743 | #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 35.82069934430801 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| accuracy | 0.1168937988422101 | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) | |
| accuracy | 0.14453125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.203125 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| accuracy | 0.203125 | (*.f64 (sin.f64 a) (sin.f64 b)) |
| 225.0ms | 195× | 1 | valid |
| 24.0ms | 60× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 283 to 52 computations (81.6% saved)
ival-cos: 66.0ms (31.6% of total)ival-mult: 36.0ms (17.2% of total)adjust: 33.0ms (15.8% of total)ival-sin: 24.0ms (11.5% of total)ival-div: 15.0ms (7.2% of total)ival-add: 14.0ms (6.7% of total)const: 11.0ms (5.3% of total)ival-sub: 4.0ms (1.9% of total)ival-pi: 2.0ms (1% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) |
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
(sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) 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 (sin.f64 a) (sin.f64 b)) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(PI.f64) |
#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)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* b (* r (+ 1 (* -1/6 (pow b 2))))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(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)))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))) |
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b))))))))) |
(* a (* b (- (* 1/6 (pow b 2)) 1))) |
(* a (+ (* -1/6 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))) (* b (- (* 1/6 (pow b 2)) 1)))) |
(* a (+ (* b (- (* 1/6 (pow b 2)) 1)) (* (pow a 2) (+ (* -1/6 (* b (- (* 1/6 (pow b 2)) 1))) (* 1/120 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))))))) |
(* a (+ (* b (- (* 1/6 (pow b 2)) 1)) (* (pow a 2) (+ (* -1/6 (* b (- (* 1/6 (pow b 2)) 1))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))) (* 1/120 (* b (- (* 1/6 (pow b 2)) 1))))))))) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* -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)) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos a) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(* b (* (sin a) (- (* 1/6 (pow b 2)) 1))) |
(* (sin a) (sin b)) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(* (sin a) (- (* 1/6 (pow b 2)) 1)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(cos (- b (* -1 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(sin (- (* 1/2 (PI)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(+ 1 (* -1/6 (pow b 2))) |
(* 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) |
(sin b) |
(* -1/6 (pow b 3)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(* -1/6 (* (pow b 3) r)) |
(* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2)))) |
(* 1/6 (* (pow b 3) (sin a))) |
(* (pow b 3) (+ (* -1 (/ (sin a) (pow b 2))) (* 1/6 (sin a)))) |
(* -1/6 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(* 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) (- 1/6 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r)))) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(* -1 (* (pow b 3) (+ (* -1/6 (sin a)) (/ (sin a) (pow b 2))))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | a | @ | inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (+ (* -1/6 (* b b)) 1) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* -1/6 (* b b)) 1) b) r) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (sin (+ (- (neg b) a) (/ (PI) 2))) (* (* (sin a) (+ (* (* 1/6 b) b) -1)) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (cos (+ a b)) (+ (* -1/6 (* b b)) 1) (PI) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 6.0ms | r | @ | -inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (+ (* -1/6 (* b b)) 1) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* -1/6 (* b b)) 1) b) r) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (sin (+ (- (neg b) a) (/ (PI) 2))) (* (* (sin a) (+ (* (* 1/6 b) b) -1)) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (cos (+ a b)) (+ (* -1/6 (* b b)) 1) (PI) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 6.0ms | r | @ | inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (+ (* -1/6 (* b b)) 1) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* -1/6 (* b b)) 1) b) r) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (sin (+ (- (neg b) a) (/ (PI) 2))) (* (* (sin a) (+ (* (* 1/6 b) b) -1)) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (cos (+ a b)) (+ (* -1/6 (* b b)) 1) (PI) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 5.0ms | r | @ | 0 | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (+ (* -1/6 (* b b)) 1) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* -1/6 (* b b)) 1) b) r) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (sin (+ (- (neg b) a) (/ (PI) 2))) (* (* (sin a) (+ (* (* 1/6 b) b) -1)) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (cos (+ a b)) (+ (* -1/6 (* b b)) 1) (PI) (* (neg (sin a)) (sin b)) (* (sin a) (+ (* (* 1/6 b) b) -1)) (* 1/6 b)) |
| 5.0ms | b | @ | -inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (+ (* -1/6 (* b b)) 1) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* -1/6 (* b b)) 1) b) r) (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (sin (+ (- (neg b) a) (/ (PI) 2))) (* (* (sin a) (+ (* (* 1/6 b) b) -1)) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (cos (+ a b)) (+ (* -1/6 (* b b)) 1) (PI) (* (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 | 518 | 2396 |
| 1 | 1865 | 2223 |
| 2 | 7388 | 2215 |
| 0 | 8927 | 2095 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* b (* r (+ 1 (* -1/6 (pow b 2))))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(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)))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))) |
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(sin (- (* 1/2 (PI)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b))))))))) |
(* a (* b (- (* 1/6 (pow b 2)) 1))) |
(* a (+ (* -1/6 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))) (* b (- (* 1/6 (pow b 2)) 1)))) |
(* a (+ (* b (- (* 1/6 (pow b 2)) 1)) (* (pow a 2) (+ (* -1/6 (* b (- (* 1/6 (pow b 2)) 1))) (* 1/120 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))))))) |
(* a (+ (* b (- (* 1/6 (pow b 2)) 1)) (* (pow a 2) (+ (* -1/6 (* b (- (* 1/6 (pow b 2)) 1))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))) (* 1/120 (* b (- (* 1/6 (pow b 2)) 1))))))))) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* -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)) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos a) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(* b (* (sin a) (- (* 1/6 (pow b 2)) 1))) |
(* (sin a) (sin b)) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(* (sin a) (- (* 1/6 (pow b 2)) 1)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(cos (- b (* -1 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(sin (- (* 1/2 (PI)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(+ 1 (* -1/6 (pow b 2))) |
(* 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) |
(sin b) |
(* -1/6 (pow b 3)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(* -1/6 (* (pow b 3) r)) |
(* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2)))) |
(* 1/6 (* (pow b 3) (sin a))) |
(* (pow b 3) (+ (* -1 (/ (sin a) (pow b 2))) (* 1/6 (sin a)))) |
(* -1/6 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(* 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) (- 1/6 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r)))) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(* -1 (* (pow b 3) (+ (* -1/6 (sin a)) (/ (sin a) (pow b 2))))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* 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)) |
(* b (* r (+ 1 (* -1/6 (pow b 2))))) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)) |
(* 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 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b r) #s(literal -5/24 binary64)))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 (neg.f64 b) r) #s(literal -5/24 binary64))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 (neg.f64 r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal 3 binary64)))) (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal 3 binary64)))) (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) (fma.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal 3 binary64))))) a (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) |
(sin (- (* 1/2 (PI)) b)) |
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b))))) |
(fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b))))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) |
(* a (* b (- (* 1/6 (pow b 2)) 1))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b) a) |
(* a (+ (* -1/6 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))) (* b (- (* 1/6 (pow b 2)) 1)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b)) a) |
(* a (+ (* b (- (* 1/6 (pow b 2)) 1)) (* (pow a 2) (+ (* -1/6 (* b (- (* 1/6 (pow b 2)) 1))) (* 1/120 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b) a)) |
(* a (+ (* b (- (* 1/6 (pow b 2)) 1)) (* (pow a 2) (+ (* -1/6 (* b (- (* 1/6 (pow b 2)) 1))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (* b (- (* 1/6 (pow b 2)) 1)))) (* 1/120 (* b (- (* 1/6 (pow b 2)) 1))))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 a a)) (*.f64 a a))) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) a) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 (sin.f64 b) a)) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) a)) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))) (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (sin.f64 b))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (- (* 1/6 (pow b 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) a) |
(* a (- (+ (* -1/6 (* (pow a 2) (- (* 1/6 (pow b 2)) 1))) (* 1/6 (pow b 2))) 1)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))) a) |
(* 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)) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 a a) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))) a) |
(* 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)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 a a) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 a a) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))) a) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos a) |
(cos.f64 a) |
(sin (- (* 1/2 (PI)) (+ a b))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))) |
(* b (* (sin a) (- (* 1/6 (pow b 2)) 1))) |
(*.f64 (*.f64 (sin.f64 a) b) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(* (sin a) (- (* 1/6 (pow b 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (sin.f64 a)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))) |
(sin (- (+ (* -1 a) (* 1/2 (PI))) b)) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.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 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.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) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) 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 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)) |
(/ (* b r) (sin (- (* 1/2 (PI)) a))) |
(/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b r)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64))))) b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64))))) (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64)))))) b (*.f64 r (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b) |
(sin (- (* 1/2 (PI)) a)) |
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) |
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a))))) |
(fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a))))))) |
(fma.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) |
(* -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 (sin a)) |
(*.f64 (sin.f64 a) b) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 (sin.f64 a) b)) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (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 (sin.f64 a) b)) |
(+ 1 (* -1/6 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* 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 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(* 1/6 b) |
(*.f64 #s(literal 1/6 binary64) b) |
(sin b) |
(sin.f64 b) |
(* -1/6 (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -1/6 (* (pow b 3) r)) |
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal -1/6 binary64)) |
(* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))) |
(* 1/6 (* (pow b 3) (sin a))) |
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)) (sin.f64 a)) |
(* (pow b 3) (+ (* -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))) (pow.f64 b #s(literal 3 binary64))) |
(* -1/6 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -1/6 binary64)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b) b) |
(* 1/6 (* (pow b 2) (sin a))) |
(*.f64 (*.f64 (*.f64 (sin.f64 a) b) b) #s(literal 1/6 binary64)) |
(* (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 b))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r)))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) r (/.f64 (/.f64 (neg.f64 r) b) b))) |
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) |
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))) |
(sin (- (+ (* -1 b) (* 1/2 (PI))) a)) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))) |
(* -1 (* (pow b 3) (+ (* -1/6 (sin a)) (/ (sin a) (pow b 2))))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (/.f64 (/.f64 (sin.f64 a) b) b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 272 |
| 0 | 96 | 258 |
| 1 | 316 | 258 |
| 2 | 2269 | 258 |
| 0 | 8333 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) |
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
(sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a)))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) 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 (sin.f64 a) (sin.f64 b)) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(PI.f64) |
#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 (*.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 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (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 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.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 (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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(/.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 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (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))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) a))) (cos.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 b) a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) a))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 b) a))))) |
(fma.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) |
(fma.f64 (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 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(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 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) |
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) |
(sin.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) |
(sin.f64 (-.f64 (neg.f64 b) (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b))))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b))) |
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a)))) |
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b)))) |
(cos.f64 (-.f64 (neg.f64 a) b)) |
(cos.f64 (-.f64 a (neg.f64 b))) |
(cos.f64 (-.f64 b (neg.f64 a))) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(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 (cos.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) a))) (cos.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 b) a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) a))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 b) a))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b 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 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b) |
(*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 r) b) (neg.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(/.f64 (*.f64 b (neg.f64 r)) (neg.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 b r)) (neg.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 r) (neg.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 r (neg.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) |
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) b) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) b) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 b (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))) |
(fma.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b (*.f64 #s(literal 1 binary64) b)) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)) |
(fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b #s(literal 1 binary64))) |
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b) (*.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)) |
(+.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b #s(literal 1 binary64))) |
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) r)))) (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b))))) |
(/.f64 (neg.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) r))) (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) r))) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(neg.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) r)) (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b))))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) r)) |
(*.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) b) |
(*.f64 (*.f64 b r) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) r) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(*.f64 b (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)) |
(*.f64 r (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 b r)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
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(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 b)) (neg.f64 b) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) b) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) b) b #s(literal 1 binary64)) |
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(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) b)) b)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 b b)) #s(literal -1/6 binary64))) |
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(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
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(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
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(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
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(pow.f64 (PI.f64) #s(literal 1 binary64)) |
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(PI.f64) |
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(-.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 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (neg.f64 (sin.f64 a))) |
(*.f64 #s(literal 1/6 binary64) b) |
(*.f64 b #s(literal 1/6 binary64)) |
Compiled 11 357 to 1 800 computations (84.2% saved)
61 alts after pruning (51 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 363 | 12 | 375 |
| Fresh | 9 | 39 | 48 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 373 | 61 | 434 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 59.7% | (/.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 (*.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)))))) | |
| 59.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 59.3% | (/.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)))))) | |
| 63.1% | (/.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))))) | |
| 59.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)))))))) | |
| ✓ | 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)))) |
| 61.5% | (/.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 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))) | |
| 66.4% | (/.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))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 61.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) a)))) | |
| 66.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a)))) | |
| 18.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal 2 binary64))))) | |
| 32.7% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) b (neg.f64 b))))) | |
| ✓ | 34.8% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
| 15.0% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 b)))) | |
| 15.4% | (/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 a)))) | |
| ✓ | 76.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 45.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 48.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 a))) | |
| 34.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) | |
| 33.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| ✓ | 61.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
| 44.1% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 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)))) | |
| 43.1% | (/.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) #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)))) | |
| 43.8% | (/.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)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 28.8% | (/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 29.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 29.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 43.5% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) | |
| 43.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) | |
| ✓ | 29.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
| 29.1% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 12.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 12.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 43.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 15.3% | (/.f64 #s(approx (* r (sin b)) #s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 76.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 76.8% | (*.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)))) | |
| 34.8% | (*.f64 (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) r) | |
| 76.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 61.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) | |
| 43.7% | (*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (+.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)))) | |
| 43.8% | (*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) | |
| 43.8% | (*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 61.7% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 29.7% | #s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) | |
| 29.2% | #s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) | |
| 43.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 28.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) | |
| 29.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) | |
| 29.7% | #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)) | |
| ✓ | 44.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 28.2% | #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)) | |
| 28.3% | #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)) | |
| ✓ | 28.2% | #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)) |
| 43.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| 28.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) | |
| ✓ | 29.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 3 730 to 1 527 computations (59.1% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) 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 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
(/.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 (sin.f64 b) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) b (neg.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
(/.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) #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 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.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 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.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 b b) #s(literal -1/2 binary64) #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 (*.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 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.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))) (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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.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)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))) |
(*.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 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 (*.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)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 #s(approx (* r (sin b)) #s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.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 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)))))))) |
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (+.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 (*.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 (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))))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
4 calls:
| 22.0ms | r |
| 21.0ms | a |
| 21.0ms | b |
| 21.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) 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 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
(/.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 (sin.f64 b) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) b (neg.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
(/.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) #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 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.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 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.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 b b) #s(literal -1/2 binary64) #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 (*.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 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.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))) (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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.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)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))) |
(*.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 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 (*.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)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
4 calls:
| 32.0ms | r |
| 20.0ms | b |
| 20.0ms | a |
| 20.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) 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 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
(/.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 (sin.f64 b) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) b (neg.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
(/.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) #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 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.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 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.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 b b) #s(literal -1/2 binary64) #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 (*.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 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.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))) (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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.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)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))) |
(*.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 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 (*.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)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
4 calls:
| 43.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 43.0ms | a |
| 31.0ms | b |
| 19.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) 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 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) |
(/.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 (sin.f64 b) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 b) a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) b (neg.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
(/.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) #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 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.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 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.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 b b) #s(literal -1/2 binary64) #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 (*.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 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.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))) (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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.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)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))) |
(*.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 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 (*.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)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 (neg.f64 b) a) (*.f64 b b)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
4 calls:
| 43.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 28.0ms | a |
| 19.0ms | r |
| 19.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 1 | a |
| 76.9% | 1 | b |
| 76.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 76.9% | 1 | r |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) 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 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (- (neg b) a) (/ (PI) 2)) (neg.f64 b)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
4 calls:
| 19.0ms | r |
| 9.0ms | b |
| 9.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 65.4% | 2 | r |
| 76.9% | 3 | a |
| 76.6% | 3 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
2 calls:
| 8.0ms | a |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 3 | b |
| 75.2% | 3 | a |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) |
#s(approx (/ (* r (sin b)) (sin (+ (- (neg b) a) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64))) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) r)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 b r))) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.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)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
4 calls:
| 19.0ms | b |
| 7.0ms | a |
| 7.0ms | r |
| 7.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.0% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 44.0% | 1 | r |
| 44.0% | 1 | a |
| 44.0% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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 r (/.f64 b (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
4 calls:
| 34.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 43.9% | 1 | a |
| 43.9% | 1 | r |
| 43.9% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
Total -1.1b remaining (-2.5%)
Threshold costs -1.1b (-2.5%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#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:
| 2.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.3% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 29.3% | 1 | a |
| 29.3% | 1 | r |
| 29.3% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 396342.44804220623 | 347861523.78222895 |
| 23.0ms | -1.6873073000360493e+44 | -1.2844271586304132e+42 |
| 34.0ms | 200× | 1 | valid |
| 5.0ms | 40× | 0 | valid |
Compiled 447 to 389 computations (13% saved)
ival-cos: 9.0ms (29.4% of total)ival-sin: 8.0ms (26.1% of total)adjust: 5.0ms (16.3% of total)ival-mult: 3.0ms (9.8% of total)ival-add: 2.0ms (6.5% of total)ival-div: 2.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 3726.5348399687214 | 419393.5159274148 |
| 18.0ms | -554.052860180147 | -0.2679945000916397 |
| 18.0ms | 145× | 0 | valid |
| 15.0ms | 95× | 1 | valid |
Compiled 642 to 479 computations (25.4% saved)
ival-sin: 11.0ms (43.4% of total)ival-cos: 7.0ms (27.6% of total)ival-add: 2.0ms (7.9% of total)ival-div: 2.0ms (7.9% of total)adjust: 2.0ms (7.9% of total)ival-mult: 2.0ms (7.9% 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 | 65 | 198 |
| 1 | 97 | 198 |
| 2 | 128 | 198 |
| 3 | 158 | 198 |
| 4 | 173 | 198 |
| 5 | 219 | 198 |
| 6 | 576 | 198 |
| 7 | 3736 | 198 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 a #s(literal -1299999999999999950031673044027917767540736 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 400000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(if (<=.f64 b #s(literal -607985949695017/2251799813685248 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3800 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 (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 a #s(literal -1299999999999999950031673044027917767540736 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 400000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(if (or (<=.f64 a #s(literal -1299999999999999950031673044027917767540736 binary64)) (not (<=.f64 a #s(literal 400000 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(if (<=.f64 b #s(literal -607985949695017/2251799813685248 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (or (<=.f64 b #s(literal -607985949695017/2251799813685248 binary64)) (not (<=.f64 b #s(literal 3800 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 163 |
| 0 | 63 | 167 |
| 1 | 231 | 139 |
| 2 | 1721 | 139 |
| 0 | 9252 | 139 |
| 0 | 167 | 593 |
| 1 | 569 | 562 |
| 2 | 2016 | 518 |
| 3 | 7405 | 515 |
| 0 | 9145 | 482 |
| 0 | 447 | 1971 |
| 1 | 1573 | 1864 |
| 2 | 6230 | 1822 |
| 0 | 8528 | 1726 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 46 | 19 |
| 2 | 266 | 19 |
| 3 | 2853 | 19 |
| 0 | 8286 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 198 to 67 computations (66.2% saved)
(negabs r)
Compiled 446 to 174 computations (61% saved)
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