
Time bar (total: 9.0s)
| 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)
| 1.8s | 5 833× | 1 | valid |
| 195.0ms | 2 423× | 0 | valid |
ival-cos: 1.1s (62.4% of total)ival-sin: 225.0ms (13.3% of total)adjust: 128.0ms (7.6% of total)ival-mult: 101.0ms (6% of total)ival-div: 89.0ms (5.3% of total)ival-add: 83.0ms (4.9% of total)ival-true: 7.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 132 | (2.688260052767266e-146 2.6801876722796534e+152 -3.089656182881287e-273) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 194 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 62 | 0 |
| - | 132 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 62 | 0 | 0 |
| - | 132 | 0 | 62 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 69.0ms | 370× | 1 | valid |
| 10.0ms | 142× | 0 | valid |
Compiled 125 to 44 computations (64.8% saved)
ival-cos: 20.0ms (35.5% of total)ival-sin: 13.0ms (23.1% of total)adjust: 7.0ms (12.4% of total)ival-add: 6.0ms (10.7% of total)ival-mult: 6.0ms (10.7% of total)ival-div: 5.0ms (8.9% 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 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 178 | 84 |
| 3 | 431 | 84 |
| 4 | 1079 | 84 |
| 5 | 2510 | 84 |
| 6 | 3268 | 84 |
| 7 | 3664 | 84 |
| 8 | 4244 | 84 |
| 9 | 4620 | 84 |
| 10 | 4632 | 84 |
| 11 | 4636 | 84 |
| 12 | 4636 | 84 |
| 13 | 4676 | 84 |
| 14 | 4692 | 84 |
| 15 | 4692 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 19 | 9 |
| 3 | 21 | 9 |
| 4 | 22 | 9 |
| 0 | 22 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.4% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 13 | 28 |
| 1 | 17 | 28 |
| 2 | 19 | 28 |
| 3 | 21 | 28 |
| 4 | 22 | 28 |
| 0 | 22 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 b) | |
| accuracy | 0.1640625 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.089994638612268 | (cos.f64 (+.f64 a b)) |
| 33.0ms | 185× | 1 | valid |
| 5.0ms | 71× | 0 | valid |
Compiled 58 to 18 computations (69% saved)
ival-cos: 8.0ms (30% of total)ival-sin: 6.0ms (22.5% of total)adjust: 5.0ms (18.8% of total)ival-add: 3.0ms (11.3% of total)ival-mult: 3.0ms (11.3% of total)ival-div: 2.0ms (7.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 3.0ms | b | @ | -inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | b | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 844 |
| 1 | 660 | 792 |
| 2 | 2065 | 734 |
| 3 | 7713 | 734 |
| 0 | 8289 | 693 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.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 (fma.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 (- (* 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 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* 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 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a)) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (neg.f64 (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 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b) |
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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #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 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b))) |
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.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)))) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(neg.f64 (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) r)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (sin.f64 b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 b) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) #s(literal -1 binary64)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a b)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a b)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) |
(*.f64 #s(literal 1 binary64) (sin.f64 b)) |
(*.f64 (sin.f64 b) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 b))) |
(sin.f64 b) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b))) |
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.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))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) |
(pow.f64 (/.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 (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)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))) |
(/.f64 (-.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 (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))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.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))) (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 b) (cos.f64 a)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.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 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.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 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.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 (fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.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 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) |
(/.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))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
(/.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))) (*.f64 #s(literal 1 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 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.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 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 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 (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 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))))) |
(-.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 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b))) |
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(cos.f64 (+.f64 a b)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 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 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
Compiled 4 218 to 766 computations (81.8% saved)
29 alts after pruning (29 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 29 | 191 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 163 | 29 | 192 |
| Status | Accuracy | Program |
|---|---|---|
| 79.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 79.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 79.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 78.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 79.3% | (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 80.4% | (*.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)))) | |
| 79.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 79.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 79.3% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| 79.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (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 b)) (sin.f64 a)))))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 56.6% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))) | |
| 56.5% | (*.f64 r (/.f64 (sin.f64 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))))) | |
| ▶ | 57.6% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
| 56.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 58.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 59.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| 55.6% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| 79.3% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 79.3% | (*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| ▶ | 79.4% | (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
| 55.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))) | |
| ▶ | 55.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 36.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| ▶ | 55.8% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
| 58.7% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
Compiled 1 004 to 738 computations (26.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) | |
| cost-diff | 6464 | (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 b (cos.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 287 |
| 0 | 69 | 287 |
| 1 | 109 | 285 |
| 2 | 198 | 281 |
| 3 | 408 | 278 |
| 4 | 878 | 278 |
| 5 | 1375 | 278 |
| 6 | 2439 | 278 |
| 7 | 4704 | 278 |
| 8 | 7205 | 278 |
| 0 | 8146 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
r |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(neg.f64 (sin.f64 b)) |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
r |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(cos.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) |
(/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
b |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 a) |
a |
#s(literal 2 binary64) |
(*.f64 (sin.f64 a) r) |
(sin.f64 a) |
r |
(/.f64 r (cos.f64 a)) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(neg.f64 (sin.f64 b)) |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
r |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(cos.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (*.f64 (/.f64 b (cos.f64 a)) b) (sin.f64 a) b) (/.f64 r (cos.f64 a)))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (*.f64 (/.f64 b (cos.f64 a)) b) (sin.f64 a) b) (/.f64 r (cos.f64 a))) |
(fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 r (cos.f64 a))) |
(/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
b |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 a) |
a |
#s(literal 2 binary64) |
(*.f64 (sin.f64 a) r) |
(sin.f64 a) |
r |
(/.f64 r (cos.f64 a)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1640625 | (*.f64 (sin.f64 a) r) | |
| accuracy | 0.24285126953688402 | (pow.f64 (cos.f64 a) #s(literal 2 binary64)) | |
| accuracy | 2.311408931060122 | (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) | |
| accuracy | 28.25635416016713 | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) | |
| accuracy | 0.0546875 | (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) | |
| accuracy | 0.1640625 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| accuracy | 27.39871344861551 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) | |
| accuracy | 0.1640625 | (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) | |
| accuracy | 0.16796875 | (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) | |
| accuracy | 13.089994638612268 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.16015625 | (/.f64 b (cos.f64 a)) | |
| accuracy | 0.1640625 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| accuracy | 28.365656853919365 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| accuracy | 0.10775375976844201 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| accuracy | 0.1640625 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 243.0ms | 183× | 1 | valid |
| 19.0ms | 73× | 0 | valid |
Compiled 530 to 74 computations (86% saved)
ival-div: 67.0ms (31.6% of total)ival-mult: 51.0ms (24% of total)ival-cos: 27.0ms (12.7% of total)ival-neg: 21.0ms (9.9% of total)adjust: 17.0ms (8% of total)ival-sin: 14.0ms (6.6% of total)ival-add: 9.0ms (4.2% of total)ival-pow2: 4.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
(cos.f64 a) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(*.f64 (sin.f64 a) r) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* r (sin a)) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ -1 (cos b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
r |
(+ r (* a (* b r))) |
(+ r (* a (+ (* 1/2 (* a r)) (* b r)))) |
(+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r)))) |
(* b r) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
(+ b (* (pow a 2) b)) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1 b) (* 1/3 b)))) (* -1 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1 b) (+ (* -2/45 b) (* 2/3 b))))) (+ (* -1 b) (* 1/3 b)))) (* -1 b)))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(+ 1 (* -1 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(* a r) |
(* a (+ r (* -1/6 (* (pow a 2) r)))) |
(* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r)))))) |
(* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(cos a) |
(/ -1 (cos (+ a b))) |
(cos (+ a b)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(/ b (pow (cos a) 2)) |
(* -1 (* (sin a) (sin b))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(pow (cos a) 2) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ 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) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ -1 (cos a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ r (cos a)) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(/ (* b (* r (sin a))) (pow (cos a) 2)) |
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | b | @ | 0 | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (/ b (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (pow (cos a) 2) (* (sin a) r)) |
| 9.0ms | r | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (/ b (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (pow (cos a) 2) (* (sin a) r)) |
| 7.0ms | r | @ | inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (/ b (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (pow (cos a) 2) (* (sin a) r)) |
| 7.0ms | a | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (/ b (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (pow (cos a) 2) (* (sin a) r)) |
| 7.0ms | a | @ | inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (/ b (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (pow (cos a) 2) (* (sin a) r)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 1973 |
| 1 | 1570 | 1851 |
| 2 | 5138 | 1821 |
| 0 | 8799 | 1697 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* r (sin a)) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ -1 (cos b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
r |
(+ r (* a (* b r))) |
(+ r (* a (+ (* 1/2 (* a r)) (* b r)))) |
(+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r)))) |
(* b r) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
(+ b (* (pow a 2) b)) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1 b) (* 1/3 b)))) (* -1 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1 b) (+ (* -2/45 b) (* 2/3 b))))) (+ (* -1 b) (* 1/3 b)))) (* -1 b)))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(+ 1 (* -1 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(* a r) |
(* a (+ r (* -1/6 (* (pow a 2) r)))) |
(* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r)))))) |
(* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(cos a) |
(/ -1 (cos (+ a b))) |
(cos (+ a b)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(/ b (pow (cos a) 2)) |
(* -1 (* (sin a) (sin b))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(pow (cos a) 2) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ 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) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ -1 (cos a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ r (cos a)) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(/ (* b (* r (sin a))) (pow (cos a) 2)) |
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos 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)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* r (sin a)) |
(*.f64 (sin.f64 a) r) |
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) |
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* 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 (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 (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 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #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 |
(+ b (* 1/2 (* (pow a 2) b))) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(/ -1 (cos b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) a (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 b))) a (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (sin.f64 b) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b))) a (+.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 b))))) a (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin 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 (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
r |
(+ r (* a (* b r))) |
(fma.f64 (*.f64 b r) a r) |
(+ r (* a (+ (* 1/2 (* a r)) (* b r)))) |
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r) |
(+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r) |
(* b r) |
(*.f64 b r) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(*.f64 r (fma.f64 (*.f64 a b) b b)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(fma.f64 (*.f64 a (*.f64 (*.f64 b r) a)) #s(literal 1/2 binary64) (*.f64 r (fma.f64 (*.f64 a b) b b))) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)) |
(+ b (* (pow a 2) b)) |
(fma.f64 (*.f64 a a) b b) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1 b) (* 1/3 b)))) (* -1 b)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2/3 binary64) b) (*.f64 a a) b) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1 b) (+ (* -2/45 b) (* 2/3 b))))) (+ (* -1 b) (* 1/3 b)))) (* -1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 b #s(literal 17/45 binary64)) (*.f64 a a) (*.f64 #s(literal 2/3 binary64) b)) (*.f64 a a) b) (*.f64 a a) b) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a) |
(+ 1 (* -1 (* a b))) |
(fma.f64 (neg.f64 b) a #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64)) |
(+ 1 (* -1 (pow a 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 a a)) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(* a r) |
(*.f64 a r) |
(* a (+ r (* -1/6 (* (pow a 2) r)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) r) a) |
(* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 a a) r) a) |
(* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 a r)) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(cos a) |
(cos.f64 a) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(/ b (pow (cos a) 2)) |
(/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (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 (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ -1 (cos a)) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 a))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (sin.f64 a) (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a))) b (+.f64 (/.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) (cos.f64 a))))) b (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b) |
(sin b) |
(sin.f64 b) |
(/ (* b (* r (sin a))) (pow (cos a) 2)) |
(*.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (/.f64 (/.f64 r (cos.f64 a)) b)) b) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(*.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (/.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 b b)) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (/.f64 (/.f64 r (cos.f64 a)) b)) b) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 237 |
| 0 | 69 | 252 |
| 1 | 213 | 210 |
| 2 | 1378 | 210 |
| 0 | 8193 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
(cos.f64 a) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(*.f64 (sin.f64 a) r) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) (sin.f64 b)) |
(*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (sin.f64 b)) r)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 r (*.f64 #s(literal 1 binary64) (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (*.f64 #s(literal 1 binary64) (sin.f64 b))))) |
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(fma.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
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(cos.f64 (+.f64 a b)) |
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(*.f64 (pow.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r) |
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#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) (/.f64 (-.f64 r (/.f64 (*.f64 (*.f64 (sin.f64 a) b) r) (cos.f64 a))) (cos.f64 a)) (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 a) b) r) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 a) b) r) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 6 binary64)))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) b) r) (cos.f64 a)) r) (cos.f64 a)) (*.f64 b (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 a) b) r) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) (/.f64 (-.f64 r (/.f64 (*.f64 (*.f64 (sin.f64 a) b) r) (cos.f64 a))) (cos.f64 a)) (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 a) b) r) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) (*.f64 b (+.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 a) b) r) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 6 binary64))))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r) (sin.f64 a)) b (*.f64 (/.f64 r (cos.f64 a)) b)) |
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (*.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r) (sin.f64 a)) b)) |
(fma.f64 b (*.f64 (*.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r) (sin.f64 a)) (*.f64 b (/.f64 r (cos.f64 a)))) |
(fma.f64 b (/.f64 r (cos.f64 a)) (*.f64 b (*.f64 (*.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r) (sin.f64 a)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r) (sin.f64 a)) b) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (*.f64 (*.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r) (sin.f64 a)) b)) |
(+.f64 (*.f64 b (*.f64 (*.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r) (sin.f64 a))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 b (*.f64 (*.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r) (sin.f64 a)))) |
(*.f64 (/.f64 (neg.f64 b) (sqrt.f64 (cos.f64 a))) (/.f64 (pow.f64 (neg.f64 (cos.f64 a)) #s(literal -1 binary64)) (sqrt.f64 (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (cos.f64 a))) (/.f64 (/.f64 b (neg.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) (/.f64 b (neg.f64 (cos.f64 a)))) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (sqrt.f64 (cos.f64 a))) (/.f64 b (sqrt.f64 (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 a))) (/.f64 (/.f64 b (cos.f64 a)) (sqrt.f64 (cos.f64 a)))) |
(*.f64 (/.f64 b (sqrt.f64 (cos.f64 a))) (/.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (sqrt.f64 (cos.f64 a)))) |
(*.f64 (/.f64 b (neg.f64 (cos.f64 a))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(*.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) b) |
(*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (cos.f64 a))) |
(*.f64 #s(literal 1 binary64) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 b) (pow.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(*.f64 (/.f64 b (cos.f64 a)) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
(*.f64 b (pow.f64 (cos.f64 a) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (neg.f64 (cos.f64 a))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (*.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b)) |
(/.f64 (neg.f64 b) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b))) |
(/.f64 (/.f64 b (cos.f64 a)) (cos.f64 a)) |
(/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 b (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 a))) (cos.f64 a)) (/.f64 (/.f64 b (neg.f64 (cos.f64 a))) (cos.f64 a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 a) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64))) (fma.f64 (cos.f64 a) (cos.f64 a) (+.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 a) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (*.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 a) (cos.f64 a) (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 a) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (cos.f64 a) (cos.f64 a) (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (cos.f64 a) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))) (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 a) (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (sin.f64 a))) |
(fma.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) b (cos.f64 a)) |
(fma.f64 (sqrt.f64 (cos.f64 a)) (sqrt.f64 (cos.f64 a)) (*.f64 (neg.f64 b) (sin.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) b) (cos.f64 a)) |
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) |
(fma.f64 b (neg.f64 (sin.f64 a)) (cos.f64 a)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) |
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) |
(+.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)) |
(+.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))) |
(*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 a))) |
(*.f64 (cos.f64 a) (cos.f64 a)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 a))) |
(pow.f64 (neg.f64 (cos.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 a)) (log.f64 (cos.f64 a)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) |
(*.f64 (sin.f64 a) r) |
(*.f64 r (sin.f64 a)) |
Compiled 22 276 to 3 050 computations (86.3% saved)
55 alts after pruning (53 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 675 | 41 | 716 |
| Fresh | 12 | 12 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 690 | 55 | 745 |
| Status | Accuracy | Program |
|---|---|---|
| 79.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 79.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 57.6% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 79.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 57.5% | (/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b))) | |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 78.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 79.3% | (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) | |
| 79.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 99.3% | (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| 57.6% | (*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 99.3% | (*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| 79.3% | (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) | |
| 79.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 79.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 79.3% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (sin.f64 b)) r)) | |
| 79.4% | (*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 79.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 61.1% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))) | |
| 65.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) b))))) | |
| ▶ | 59.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 56.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 58.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) | |
| 36.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))) | |
| 59.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| 36.0% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) | |
| ▶ | 79.3% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
| 57.5% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b)))) | |
| 99.3% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) | |
| 32.9% | (*.f64 r (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))) (neg.f64 (sin.f64 b)))) | |
| 58.7% | (*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (neg.f64 (sin.f64 b)))) | |
| 59.3% | (*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) (neg.f64 (sin.f64 b)))) | |
| 55.0% | (*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))))) | |
| ✓ | 55.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 34.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 34.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 34.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) | |
| ▶ | 55.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
| 55.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) | |
| 27.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) | |
| 27.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| 36.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| ▶ | 99.5% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 55.9% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 58.7% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 27.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) | |
| 27.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) | |
| 34.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) | |
| 33.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) | |
| 33.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) | |
| ▶ | 35.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
Compiled 2 538 to 1 727 computations (32% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) | |
| cost-diff | 0 | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| cost-diff | 0 | (/.f64 (cos.f64 a) b) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)) | |
| cost-diff | 0 | (*.f64 b r) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r)) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 299 |
| 0 | 84 | 299 |
| 1 | 132 | 296 |
| 2 | 197 | 288 |
| 3 | 385 | 284 |
| 4 | 801 | 284 |
| 5 | 1087 | 284 |
| 6 | 1522 | 284 |
| 7 | 2254 | 284 |
| 8 | 2875 | 284 |
| 9 | 4920 | 284 |
| 10 | 7217 | 284 |
| 11 | 7782 | 284 |
| 12 | 7876 | 284 |
| 13 | 7950 | 284 |
| 0 | 8008 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 a) b) |
(cos.f64 a) |
a |
b |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
r |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
a |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)) |
(/.f64 b (cos.f64 a)) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 a) b) |
(cos.f64 a) |
a |
b |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
r |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1640625 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| accuracy | 31.160172430680824 | #s(approx (cos a) #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| accuracy | 0.221035009768442 | (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) | |
| accuracy | 0.2578125 | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| accuracy | 13.089994638612268 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.125 | (/.f64 (cos.f64 a) b) | |
| accuracy | 0.1640625 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)) | |
| accuracy | 28.365656853919365 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))) | |
| accuracy | 0 | (*.f64 b r) | |
| accuracy | 28.25635416016713 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) | |
| accuracy | 32.07634478725814 | #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r)) | |
| accuracy | 0.08203125 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.09832001953688403 | (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 b) r) | |
| accuracy | 0.205410009768442 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 194.0ms | 183× | 1 | valid |
| 25.0ms | 73× | 0 | valid |
Compiled 539 to 92 computations (82.9% saved)
ival-div: 72.0ms (41.8% of total)ival-cos: 27.0ms (15.7% of total)ival-mult: 25.0ms (14.5% of total)ival-sin: 24.0ms (13.9% of total)adjust: 10.0ms (5.8% of total)ival-add: 8.0ms (4.6% of total)ival-pow2: 4.0ms (2.3% of total)ival-neg: 3.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))) |
(/.f64 (cos.f64 a) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (cos a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* b r) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ 1 b) |
(+ (* -1/2 (/ (pow a 2) b)) (/ 1 b)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) b)) (* 1/2 (/ 1 b)))) (/ 1 b)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) b)) (* 1/24 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ 1 b)) |
(/ (cos b) (sin b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
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))) |
(* -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))))))))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(/ b (cos a)) |
(/ (sin b) (cos (+ a b))) |
(/ (cos a) b) |
(/ (cos (+ a b)) (sin b)) |
(cos (+ a b)) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (cos a) (cos b)) |
(cos a) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* b r) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 7.0ms | b | @ | inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* b r) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 5.0ms | r | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* b r) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 5.0ms | r | @ | inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* b r) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 4.0ms | b | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* b r) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 1742 |
| 1 | 1404 | 1629 |
| 2 | 4496 | 1602 |
| 0 | 8927 | 1487 |
| 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 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* b r) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ 1 b) |
(+ (* -1/2 (/ (pow a 2) b)) (/ 1 b)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) b)) (* 1/2 (/ 1 b)))) (/ 1 b)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) b)) (* 1/24 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ 1 b)) |
(/ (cos b) (sin b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
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))) |
(* -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))))))))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(/ b (cos a)) |
(/ (sin b) (cos (+ a b))) |
(/ (cos a) b) |
(/ (cos (+ a b)) (sin b)) |
(cos (+ a b)) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (cos a) (cos b)) |
(cos a) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin 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 a) (cos.f64 b)))) |
(* 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 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* b r) |
(*.f64 b r) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 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)) |
(+ (* 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 (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 (fma.f64 (neg.f64 (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 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(*.f64 r (fma.f64 (*.f64 a b) b b)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(fma.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b r) (*.f64 r (fma.f64 (*.f64 a b) b b))) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) b) a (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (* -1/2 (/ (pow a 2) b)) (/ 1 b)) |
(fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) b)) (* 1/2 (/ 1 b)))) (/ 1 b)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) b)) (* 1/24 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ 1 b)) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b))) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (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 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))))) |
1 |
#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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 (sin.f64 b)) a) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (cos a) b) |
(/.f64 (cos.f64 a) b) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (neg.f64 (cos.f64 a))) (sin.f64 a) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 a) (fma.f64 #s(literal -1/120 binary64) (cos.f64 a) (*.f64 (cos.f64 a) #s(literal -1/18 binary64)))) (*.f64 b b) (*.f64 #s(literal -1/3 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) 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 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))))) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 b) (sin.f64 a)) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b) |
(sin b) |
(sin.f64 b) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(*.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (/.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 b b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 257 |
| 0 | 84 | 267 |
| 1 | 262 | 218 |
| 2 | 1723 | 218 |
| 0 | 8353 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))) |
(/.f64 (cos.f64 a) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (cos a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 r (+.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)))) #s(literal 1 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 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 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 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal -1 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 b)) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 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 b)) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.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 b)) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 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 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
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(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
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#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r)) |
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(*.f64 (/.f64 b (cos.f64 a)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 a) b))) |
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(*.f64 b (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 a) b))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 a) b) (/.f64 (cos.f64 a) b)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 b (cos.f64 a)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 b (cos.f64 a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 a) b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 (cos.f64 a))) |
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(/.f64 (*.f64 #s(literal 1 binary64) b) (cos.f64 a)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 a))) (/.f64 b (neg.f64 (cos.f64 a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64))) |
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#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
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(*.f64 (pow.f64 b #s(literal -1 binary64)) (cos.f64 a)) |
(*.f64 (neg.f64 (cos.f64 a)) (pow.f64 (neg.f64 b) #s(literal -1 binary64))) |
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(*.f64 (cos.f64 a) (pow.f64 b #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 b (cos.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (cos.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 a) b) #s(literal 1 binary64)) |
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(/.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) b) |
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(/.f64 (neg.f64 (neg.f64 (cos.f64 a))) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 (neg.f64 (cos.f64 a)) b) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (cos.f64 a)) (neg.f64 b)) |
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(/.f64 (/.f64 (cos.f64 a) b) #s(literal 1 binary64)) |
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(/.f64 (cos.f64 a) (*.f64 #s(literal 1 binary64) b)) |
(/.f64 (cos.f64 a) b) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 a)) b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 b))) (/.f64 (cos.f64 a) (*.f64 #s(literal 1 binary64) (neg.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (neg.f64 (cos.f64 a)) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) b) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (cos.f64 a))) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (pow.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))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
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(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))) |
#s(approx (cos a) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
Compiled 16 120 to 2 219 computations (86.2% saved)
64 alts after pruning (58 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 534 | 22 | 556 |
| Fresh | 12 | 36 | 48 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 547 | 64 | 611 |
| Status | Accuracy | Program |
|---|---|---|
| 79.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| ▶ | 59.2% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 79.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 59.1% | (/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) | |
| 79.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 78.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) | |
| 79.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 57.6% | (*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 79.3% | (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) | |
| 79.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 79.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 79.3% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (sin.f64 b)) r)) | |
| 79.4% | (*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 59.2% | (*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 59.1% | (*.f64 (sin.f64 b) (*.f64 (pow.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #s(literal -1 binary64)) r)) | |
| 79.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 59.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| ✓ | 59.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
| 58.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) | |
| 36.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))) | |
| 59.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| ▶ | 36.0% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
| 99.4% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))) | |
| 85.1% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))) | |
| ▶ | 58.7% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) |
| 79.3% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) | |
| 99.4% | (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))) | |
| 79.3% | (*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) | |
| 56.6% | (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))) | |
| 58.8% | (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))) | |
| 56.4% | (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))) | |
| 99.2% | (*.f64 r (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) | |
| 58.7% | (*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (neg.f64 (sin.f64 b)))) | |
| 59.3% | (*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) (neg.f64 (sin.f64 b)))) | |
| ✓ | 55.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 34.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 34.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 34.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) | |
| ✓ | 55.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
| 55.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal -1 binary64)) (cos.f64 a))))) | |
| 34.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) | |
| 34.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) | |
| 35.2% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) | |
| 55.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) | |
| 27.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) | |
| 27.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| 36.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| ✓ | 99.5% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 99.3% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) | |
| 99.3% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))) | |
| 80.0% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (sin.f64 b) (+.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 r (pow.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))) #s(literal -1 binary64))))) | |
| 55.9% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 58.7% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 27.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) | |
| 27.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) | |
| 34.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) | |
| 33.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) | |
| ▶ | 33.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
| ✓ | 35.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
Compiled 2 874 to 2 018 computations (29.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (cos.f64 b)) | |
| cost-diff | 0 | (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) | |
| cost-diff | 0 | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 a b) b b) | |
| cost-diff | 0 | (*.f64 r (fma.f64 (*.f64 a b) b b)) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b))) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b 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 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (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 | 52 | 346 |
| 0 | 80 | 346 |
| 1 | 147 | 340 |
| 2 | 242 | 338 |
| 3 | 517 | 334 |
| 4 | 971 | 334 |
| 5 | 1313 | 334 |
| 6 | 1882 | 334 |
| 7 | 3333 | 334 |
| 8 | 5320 | 334 |
| 9 | 7239 | 334 |
| 10 | 7770 | 334 |
| 11 | 7865 | 334 |
| 12 | 7970 | 334 |
| 0 | 8002 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
r |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b))) |
(*.f64 r (fma.f64 (*.f64 a b) b b)) |
r |
(fma.f64 (*.f64 a b) b b) |
(*.f64 a b) |
a |
b |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
r |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) |
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
(fma.f64 (neg.f64 b) a #s(literal 1 binary64)) |
(neg.f64 b) |
a |
#s(literal 1 binary64) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) |
r |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(cos.f64 b) |
b |
(sin.f64 b) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cos.f64 b) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
a |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
r |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 (*.f64 a b) b b) r))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 (*.f64 a b) b b) r)) |
(*.f64 r (fma.f64 (*.f64 a b) b b)) |
(*.f64 (fma.f64 (*.f64 a b) b b) r) |
r |
(fma.f64 (*.f64 a b) b b) |
(*.f64 a b) |
a |
b |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
r |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) |
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
(fma.f64 (neg.f64 b) a #s(literal 1 binary64)) |
(neg.f64 b) |
a |
#s(literal 1 binary64) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
r |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(cos.f64 b) |
b |
(sin.f64 b) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cos.f64 b) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 (sin.f64 b) r) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) | |
| accuracy | 0.205410009768442 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| accuracy | 31.160172430680824 | #s(approx (cos a) #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) | |
| accuracy | 0.221035009768442 | (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) | |
| accuracy | 0.2578125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) | |
| accuracy | 31.019097007077207 | #s(approx (cos (+ a b)) (cos.f64 b)) | |
| accuracy | 0.1640625 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| accuracy | 27.39871344861551 | #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) | |
| accuracy | 32.71309165655516 | #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 a b) b b) | |
| accuracy | 2.8179695081356115 | (*.f64 r (fma.f64 (*.f64 a b) b b)) | |
| accuracy | 25.68725937406272 | #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b))) | |
| accuracy | 28.25635416016713 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) | |
| accuracy | 0.08498002930532605 | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) | |
| accuracy | 0.1640625 | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| accuracy | 0.18359375 | (*.f64 (sin.f64 a) (sin.f64 b)) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 201.0ms | 183× | 1 | valid |
| 60.0ms | 73× | 0 | valid |
Compiled 593 to 96 computations (83.8% saved)
ival-mult: 80.0ms (38% of total)ival-sin: 35.0ms (16.6% of total)ival-add: 29.0ms (13.8% of total)ival-cos: 27.0ms (12.8% of total)ival-div: 19.0ms (9% of total)adjust: 12.0ms (5.7% of total)ival-pow2: 4.0ms (1.9% of total)ival-sub: 2.0ms (0.9% of total)ival-neg: 2.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b))) |
(*.f64 r (fma.f64 (*.f64 a b) b b)) |
(fma.f64 (*.f64 a b) b b) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) |
(/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
#s(approx (cos a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* r (+ b (* a (pow b 2)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* b r) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
b |
(+ b (* a (pow b 2))) |
(/ (cos b) (sin b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (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)))))))) |
(* 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 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(+ 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))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* a (* (pow b 2) r)) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(* a (pow b 2)) |
(* a (+ (/ b a) (pow b 2))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(/ (cos (+ a b)) (sin b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (sin a) (sin b)) |
(+ (cos a) (* -1 (* b (sin a)))) |
(cos a) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (* b r) (cos a)) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ 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) (* 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 (* a (* b r)))) |
(* b (+ 1 (* a b))) |
(/ (cos a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(* 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))))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* b (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 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | r | @ | inf | ((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a)))) (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (+ (* (neg b) (sin a)) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 12.0ms | a | @ | -inf | ((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a)))) (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (+ (* (neg b) (sin a)) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 8.0ms | b | @ | inf | ((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a)))) (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (+ (* (neg b) (sin a)) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 6.0ms | r | @ | -inf | ((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a)))) (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (+ (* (neg b) (sin a)) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 5.0ms | a | @ | inf | ((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (cos (+ a b)) (sin b))) (* r (/ 1 (/ (cos (+ a b)) (sin b)))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a)))) (* (sin b) r) (+ (* (cos a) (cos b)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (+ (* (neg b) (sin a)) (cos a)) (cos a) (* (neg (sin b)) (sin a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 460 | 1817 |
| 1 | 1499 | 1711 |
| 2 | 4614 | 1685 |
| 0 | 8080 | 1569 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(* r (+ b (* a (pow b 2)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* b r) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
b |
(+ b (* a (pow b 2))) |
(/ (cos b) (sin b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (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)))))))) |
(* 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 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(+ 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))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* a (* (pow b 2) r)) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(* a (pow b 2)) |
(* a (+ (/ b a) (pow b 2))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(/ (cos (+ a b)) (sin b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (sin a) (sin b)) |
(+ (cos a) (* -1 (* b (sin a)))) |
(cos a) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (* b r) (cos a)) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ 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) (* 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 (* a (* b r)))) |
(* b (+ 1 (* a b))) |
(/ (cos a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(* 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))))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* b (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 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) 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)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* r (+ b (* a (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) a b) r) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 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)) |
(+ (* 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 (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 (fma.f64 (neg.f64 (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))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin 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 (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(* b r) |
(*.f64 b r) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(*.f64 (fma.f64 (*.f64 b b) a b) r) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(fma.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b r) (*.f64 (fma.f64 (*.f64 b b) a b) r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) b) a (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) a (*.f64 (*.f64 b r) b)) a (*.f64 b r)) |
b |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.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)) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #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)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))))) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a b))) |
(fma.f64 (neg.f64 a) b #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 (sin.f64 b)) a) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 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))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* a (* (pow b 2) r)) |
(*.f64 (*.f64 (*.f64 b r) b) a) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (/ b a) (pow b 2))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(cos a) |
(cos.f64 a) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (neg.f64 b) (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.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 (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* b (+ r (* a (* b r)))) |
(*.f64 (fma.f64 (*.f64 b b) a b) r) |
(* b (+ 1 (* a b))) |
(fma.f64 (*.f64 b b) a b) |
(/ (cos a) b) |
(/.f64 (cos.f64 a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 a) (fma.f64 #s(literal -1/120 binary64) (cos.f64 a) (*.f64 (cos.f64 a) #s(literal -1/18 binary64)))) (*.f64 b b) (*.f64 #s(literal -1/3 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) b) b (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* b (sin a)) |
(*.f64 (sin.f64 a) b) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #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 #s(literal 1/120 binary64) (*.f64 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)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))))) b) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b) |
(sin b) |
(sin.f64 b) |
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) |
(*.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)) |
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) |
(*.f64 (*.f64 b r) (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b) |
(* (pow b 2) (+ a (/ 1 b))) |
(fma.f64 (*.f64 b b) a b) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 293 |
| 0 | 80 | 270 |
| 1 | 296 | 264 |
| 2 | 1970 | 264 |
| 0 | 8165 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b))) |
(*.f64 r (fma.f64 (*.f64 a b) b b)) |
(fma.f64 (*.f64 a b) b b) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
#s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) |
(/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) |
#s(approx (cos (+ a b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
#s(approx (cos a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
| 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) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(/.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 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (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 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))) |
(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))) (pow.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))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) |
(pow.f64 (/.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 (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)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (neg.f64 (neg.f64 (cos.f64 (-.f64 a b))))) |
(/.f64 (neg.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 (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 (neg.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 (neg.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (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 (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))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.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))) (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 (neg.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 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 (*.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 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.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) (neg.f64 (+.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)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (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))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.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) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (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 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))) |
(/.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 (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 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (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 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.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 (+.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 (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))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (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 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.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 (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))))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (*.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (neg.f64 (sin.f64 b))) (sin.f64 a)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (neg.f64 (sin.f64 b))) (sin.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))) |
(*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (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)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 a b)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) |
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))) |
#s(approx (cos a) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b)) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -2 binary64)) (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal -2 binary64))) |
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
Compiled 14 615 to 1 888 computations (87.1% saved)
74 alts after pruning (65 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 25 | 502 |
| Fresh | 13 | 40 | 53 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 492 | 74 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| 79.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 58.6% | (/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 59.2% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) (cos.f64 a)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 79.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 36.0% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) | |
| 59.1% | (/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) | |
| 58.6% | (/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) | |
| 35.9% | (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) r)) | |
| 78.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 35.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (*.f64 (sin.f64 b) r))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) | |
| 58.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) | |
| 57.6% | (*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 59.2% | (*.f64 (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (sin.f64 b)) | |
| 79.3% | (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) | |
| 79.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 79.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 58.7% | (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b)) | |
| 79.3% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (sin.f64 b)) r)) | |
| 79.4% | (*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 59.1% | (*.f64 (sin.f64 b) (*.f64 (pow.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #s(literal -1 binary64)) r)) | |
| 79.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 35.4% | (*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (sin.f64 b))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))))) | |
| ✓ | 59.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
| 36.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))) | |
| 59.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| ✓ | 36.0% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
| 38.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) | |
| 34.0% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) | |
| 33.9% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) | |
| 99.4% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))) | |
| 85.1% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))) | |
| ✓ | 58.7% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) |
| 35.9% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b)))) | |
| 58.6% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) | |
| 99.4% | (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))) | |
| 58.6% | (*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(approx (cos (+ a b)) (cos.f64 b))))) | |
| 79.3% | (*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) | |
| 56.6% | (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))) | |
| 58.8% | (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))) | |
| 56.4% | (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))) | |
| 99.2% | (*.f64 r (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) | |
| 59.3% | (*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) (neg.f64 (sin.f64 b)))) | |
| ✓ | 55.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 34.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 34.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 34.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) | |
| ✓ | 55.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
| 55.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal -1 binary64)) (cos.f64 a))))) | |
| 34.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) | |
| 34.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) | |
| 35.2% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) | |
| 55.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) | |
| 27.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) | |
| 27.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| 36.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 55.9% | #s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| ✓ | 99.5% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 99.3% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) | |
| 99.3% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))) | |
| 80.0% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (sin.f64 b) (+.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 r (pow.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))) #s(literal -1 binary64))))) | |
| 27.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) | |
| 34.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) | |
| 34.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 b r)))) | |
| ✓ | 33.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
| 19.5% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) | |
| ✓ | 35.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
| 33.4% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a)))) | |
| 28.8% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b)))) | |
| 20.8% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 b r) b) a)))) |
Compiled 4 756 to 1 812 computations (61.9% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 b r) b) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (sin.f64 b))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal -1 binary64)) (cos.f64 a))))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) |
(*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #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 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (sin.f64 b)) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(approx (cos (+ a b)) (cos.f64 b))))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))) (neg.f64 (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #s(literal -1 binary64)) r)) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) (cos.f64 a)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 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 r (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (sin.f64 b) (+.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 r (pow.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))) #s(literal -1 binary64))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 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 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
5 calls:
| 46.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 37.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 34.0ms | b |
| 33.0ms | a |
| 32.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 b r) b) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (sin.f64 b))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal -1 binary64)) (cos.f64 a))))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))) |
(*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #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 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (sin.f64 b)) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(approx (cos (+ a b)) (cos.f64 b))))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))) (neg.f64 (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #s(literal -1 binary64)) r)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
5 calls:
| 45.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 32.0ms | a |
| 30.0ms | b |
| 28.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 26.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 1 | r |
| 79.4% | 1 | a |
| 79.4% | 1 | b |
| 79.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 79.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 b r) b) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (sin.f64 b))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 33.0ms | a |
| 29.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 16.0ms | b |
| 12.0ms | r |
| 12.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 1 | r |
| 79.4% | 1 | b |
| 79.4% | 1 | a |
| 79.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 79.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 b r) b) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (sin.f64 b))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.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))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
5 calls:
| 28.0ms | r |
| 14.0ms | a |
| 13.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 12.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 2 | r |
| 79.3% | 3 | b |
| 65.5% | 3 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 79.1% | 3 | a |
| 79.3% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 b r) b) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (sin.f64 b))) (*.f64 (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) |
5 calls:
| 25.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 12.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 10.0ms | b |
| 10.0ms | a |
| 10.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 1 | r |
| 55.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 55.9% | 1 | a |
| 57.9% | 2 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 57.9% | 2 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 b r) b) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
3 calls:
| 10.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 7.0ms | b |
| 7.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 55.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 55.9% | 1 | b |
Compiled 17 to 18 computations (-5.9% saved)
Total -14.3b remaining (-34.6%)
Threshold costs -14.3b (-34.6%)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 b r) b) a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 (fma.f64 a b #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 a r (/.f64 r b)) b) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (fma.f64 (*.f64 b r) b (/.f64 (*.f64 b r) a)) a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b r)) a)) a (*.f64 b r)) a r)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b)))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
5 calls:
| 7.0ms | b |
| 6.0ms | r |
| 6.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 6.0ms | a |
| 6.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.3% | 1 | a |
| 35.3% | 1 | r |
| 35.3% | 1 | b |
| 35.3% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 35.3% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.00012394510315107113 | 0.5256759697925605 |
| 25.0ms | -693.3297391821444 | -1.4956674923002193e-10 |
| 21.0ms | 148× | 1 | valid |
| 12.0ms | 140× | 0 | valid |
Compiled 750 to 590 computations (21.3% saved)
ival-cos: 8.0ms (34.7% of total)ival-mult: 4.0ms (17.3% of total)adjust: 3.0ms (13% of total)ival-sin: 3.0ms (13% of total)ival-add: 2.0ms (8.7% of total)ival-div: 2.0ms (8.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 3.586506191548912e+27 | 7.463485768170855e+28 |
| 23.0ms | 104× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 320 to 259 computations (19.1% saved)
adjust: 6.0ms (30.8% of total)ival-cos: 5.0ms (25.7% of total)ival-sin: 4.0ms (20.5% of total)ival-add: 1.0ms (5.1% of total)ival-div: 1.0ms (5.1% of total)ival-mult: 1.0ms (5.1% 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 | 67 | 222 |
| 1 | 82 | 222 |
| 2 | 84 | 222 |
| 3 | 85 | 222 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -4150517416584649/9223372036854775808 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4242751136953197/18446744073709551616 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal 11199999999999999709015965696 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(if (<=.f64 b #s(literal -4150517416584649/9223372036854775808 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4242751136953197/18446744073709551616 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal 11199999999999999709015965696 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal 11199999999999999709015965696 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r)) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (+ (* (/ b (pow (cos a) 2)) (* (sin a) r)) (/ r (cos a))) b) (*.f64 b r))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 460 | 1817 |
| 1 | 1499 | 1711 |
| 2 | 4614 | 1685 |
| 0 | 8080 | 1569 |
| 0 | 215 | 844 |
| 1 | 660 | 792 |
| 2 | 2065 | 734 |
| 3 | 7713 | 734 |
| 0 | 8289 | 693 |
| 0 | 487 | 1973 |
| 1 | 1570 | 1851 |
| 2 | 5138 | 1821 |
| 0 | 8799 | 1697 |
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 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 |
Compiled 421 to 216 computations (48.7% saved)
(negabs r)
Compiled 666 to 288 computations (56.8% saved)
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