
Time bar (total: 9.5s)
| 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)
| 1.0s | 5 811× | 1 | valid |
| 340.0ms | 2 445× | 0 | valid |
ival-cos: 301.0ms (33.2% of total)ival-sin: 223.0ms (24.6% of total)adjust: 129.0ms (14.2% of total)ival-add: 97.0ms (10.7% of total)ival-div: 77.0ms (8.5% of total)ival-mult: 71.0ms (7.8% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 64 | 128 | (-2.1100156386920167e+269 1.4197355304740826e+284 -1.9382101655086275e-116) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 r (sin.f64 b)) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 192 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 64 | 0 |
| - | 128 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 64 | 0 | 0 |
| - | 128 | 0 | 64 |
| number | freq |
|---|---|
| 0 | 64 |
| 1 | 192 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 72.0ms | 368× | 1 | valid |
| 10.0ms | 144× | 0 | valid |
Compiled 88 to 36 computations (59.1% saved)
ival-cos: 16.0ms (26.8% of total)adjust: 14.0ms (23.4% of total)ival-sin: 11.0ms (18.4% of total)ival-add: 8.0ms (13.4% of total)ival-div: 6.0ms (10% of total)ival-mult: 4.0ms (6.7% 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 | 193 | 84 |
| 3 | 479 | 84 |
| 4 | 1411 | 84 |
| 5 | 2370 | 84 |
| 6 | 2996 | 84 |
| 7 | 3376 | 84 |
| 8 | 3569 | 84 |
| 9 | 3790 | 84 |
| 10 | 4094 | 84 |
| 11 | 4100 | 84 |
| 12 | 4100 | 84 |
| 13 | 4108 | 84 |
| 14 | 4128 | 84 |
| 15 | 4136 | 84 |
| 16 | 4136 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 20 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 17 | 25 |
| 2 | 20 | 25 |
| 3 | 21 | 25 |
| 0 | 21 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 b) | |
| accuracy | 0.13671875 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.25 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.085793266758472 | (cos.f64 (+.f64 a b)) |
| 34.0ms | 184× | 1 | valid |
| 5.0ms | 72× | 0 | valid |
Compiled 52 to 18 computations (65.4% saved)
ival-cos: 8.0ms (29.6% of total)ival-add: 6.0ms (22.2% of total)ival-sin: 6.0ms (22.2% of total)adjust: 3.0ms (11.1% of total)ival-div: 2.0ms (7.4% of total)ival-mult: 2.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | b | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 593 |
| 1 | 517 | 561 |
| 2 | 1610 | 519 |
| 3 | 5575 | 500 |
| 0 | 8699 | 472 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(*.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (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 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r) a (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (fma.f64 (neg.f64 a) #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (fma.f64 r (-.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b))) (*.f64 (neg.f64 a) (fma.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))))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a) a (*.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.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)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a))) 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 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) b (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b r) |
(*.f64 b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) 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)) (*.f64 r (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))) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (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))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2062 | 19 |
| 0 | 8507 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.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 #s(literal 1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.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 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 b) r) #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 (*.f64 (sin.f64 b) r) #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 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) (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 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.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 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) |
(neg.f64 (*.f64 (neg.f64 r) (/.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 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) |
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) |
(*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) |
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) |
(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 (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 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.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 (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 3 275 to 553 computations (83.1% saved)
33 alts after pruning (33 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 33 | 165 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 133 | 33 | 166 |
| Status | Accuracy | Program |
|---|---|---|
| 45.9% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 35.9% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))) | |
| 77.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) | |
| 77.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| ▶ | 57.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a 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)))) |
| 52.6% | (/.f64 (*.f64 r (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)))) | |
| 52.6% | (/.f64 (*.f64 r (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)))) | |
| 57.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) | |
| 53.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 58.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 56.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 51.9% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) | |
| 51.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) | |
| 51.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| ▶ | 77.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
| 77.2% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 77.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) | |
| 78.9% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) | |
| 77.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 77.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 77.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 77.8% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 35.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a))) b (/.f64 r (cos.f64 a))) b)) | |
| 60.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) | |
| ▶ | 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| ▶ | 51.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) |
Compiled 1 244 to 884 computations (28.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (cos (+ a 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))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (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)))) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 b (cos.f64 a)) | |
| cost-diff | 0 | (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) | |
| cost-diff | 0 | (+.f64 a b) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) | |
| cost-diff | 384 | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 r (cos.f64 a)) | |
| cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 298 |
| 0 | 72 | 298 |
| 1 | 128 | 298 |
| 2 | 237 | 298 |
| 3 | 449 | 298 |
| 4 | 741 | 298 |
| 5 | 1043 | 298 |
| 6 | 1514 | 298 |
| 7 | 2324 | 298 |
| 8 | 4447 | 298 |
| 9 | 6289 | 298 |
| 0 | 8036 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
r |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) |
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) |
(*.f64 (sin.f64 a) b) |
(sin.f64 a) |
(/.f64 r (cos.f64 a)) |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a 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)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a 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))) |
(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)) |
(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)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
#s(literal 1/6 binary64) |
a |
#s(literal -1 binary64) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 b)) |
#s(literal -1/2 binary64) |
(cos.f64 b) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
r |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (*.f64 (/.f64 r (cos.f64 a)) b))) |
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)) |
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) |
(*.f64 (sin.f64 a) b) |
(sin.f64 a) |
(/.f64 r (cos.f64 a)) |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a 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)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (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))) |
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 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)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)) |
(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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
#s(literal 1/6 binary64) |
a |
#s(literal -1 binary64) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 b)) |
#s(literal -1/2 binary64) |
(cos.f64 b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a 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)))) | |
| accuracy | 0.3359375 | (*.f64 #s(literal 1/6 binary64) a) | |
| accuracy | 3.3463477428430677 | (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)) | |
| accuracy | 31.708228853682314 | #s(approx (cos (+ a 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))) | |
| accuracy | 0.1328125 | (/.f64 r (cos.f64 a)) | |
| accuracy | 0.1328125 | (*.f64 (sin.f64 a) b) | |
| accuracy | 0.140625 | (/.f64 b (cos.f64 a)) | |
| accuracy | 30.76533558056412 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) | |
| accuracy | 0.0 | (sin.f64 b) | |
| accuracy | 0.203125 | (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) | |
| accuracy | 0.265625 | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| accuracy | 14.085793266758472 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.0 | (cos.f64 a) | |
| accuracy | 0.09375 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| accuracy | 0.1328125 | (/.f64 r (cos.f64 a)) | |
| accuracy | 30.58941547415552 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| accuracy | 0.0625 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.08813375946961356 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.13671875 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.25 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 167.0ms | 181× | 1 | valid |
| 21.0ms | 75× | 0 | valid |
Compiled 545 to 79 computations (85.5% saved)
ival-cos: 52.0ms (34.3% of total)ival-mult: 30.0ms (19.8% of total)ival-sin: 21.0ms (13.9% of total)ival-div: 17.0ms (11.2% of total)ival-add: 14.0ms (9.2% of total)adjust: 11.0ms (7.3% of total)const: 5.0ms (3.3% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) |
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)) |
(/.f64 b (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a 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)))) |
#s(approx (cos (+ a 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))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (sin.f64 a) b) |
(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)) |
(*.f64 #s(literal 1/6 binary64) 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) (cos a)) |
(/ r (cos a)) |
(/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a)) |
(* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 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))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (cos b) (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 (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
b |
(+ a b) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r)) |
(+ 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)))) |
(+ (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))))))) |
(* a b) |
(* a (+ b (* -1/6 (* (pow a 2) b)))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b)))))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b))))))) |
(* -1 (sin b)) |
(+ (* -1 (sin b)) (* -1/2 (* a (cos b)))) |
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))) |
(* 1/6 a) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(/ (cos (+ a b)) (sin b)) |
(cos (+ a b)) |
a |
(* a (+ 1 (/ b a))) |
(/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a)) |
(/ b (cos a)) |
(* (cos a) (cos b)) |
(* b (sin a)) |
(* 1/6 (* (pow a 2) (sin b))) |
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos (- b (* -1 a))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (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) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* -1/2 a) |
(+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1))) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1))) |
(sin b) |
(* b (+ 1 (/ a 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)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(cos (- a (* -1 b))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | b | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (/ b (cos a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (sin a) b) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a)) |
| 13.0ms | r | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (/ b (cos a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (sin a) b) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a)) |
| 11.0ms | b | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (/ b (cos a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (sin a) b) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a)) |
| 8.0ms | a | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (/ b (cos a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (sin a) b) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a)) |
| 7.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (/ b (cos a)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (sin a) b) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 452 | 1653 |
| 1 | 1416 | 1561 |
| 2 | 4518 | 1497 |
| 0 | 8135 | 1384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a)) |
(* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 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))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (cos b) (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 (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
b |
(+ a b) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r)) |
(+ 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)))) |
(+ (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))))))) |
(* a b) |
(* a (+ b (* -1/6 (* (pow a 2) b)))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b)))))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b))))))) |
(* -1 (sin b)) |
(+ (* -1 (sin b)) (* -1/2 (* a (cos b)))) |
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))) |
(* 1/6 a) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(/ (cos (+ a b)) (sin b)) |
(cos (+ a b)) |
a |
(* a (+ 1 (/ b a))) |
(/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a)) |
(/ b (cos a)) |
(* (cos a) (cos b)) |
(* b (sin a)) |
(* 1/6 (* (pow a 2) (sin b))) |
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos (- b (* -1 a))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (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) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* -1/2 a) |
(+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1))) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1))) |
(sin b) |
(* b (+ 1 (/ a 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)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(cos (- a (* -1 b))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r) (/.f64 b (cos.f64 a))) |
(* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) (cos a))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64)) r) b) (neg.f64 (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 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 (fma.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 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) 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 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))) a (cos.f64 b)) |
(* b r) |
(*.f64 b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b r) #s(literal -61/720 binary64)) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (neg.f64 (*.f64 r (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)))) (*.f64 a a) r) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 r #s(literal -61/720 binary64)) (*.f64 #s(literal 5/24 binary64) r)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (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)) |
(/ (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 (- (* -1/2 (* 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 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))) a (cos.f64 b)) |
b |
(+ a b) |
(+.f64 a b) |
(+ (* 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 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)) |
(+ (* a (+ (* a (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 5/6 binary64)) a)) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)) |
(+ 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 (neg.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 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 (neg.f64 a) a) (*.f64 b #s(literal -61/720 binary64)) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))))) |
(* a b) |
(*.f64 a b) |
(* a (+ b (* -1/6 (* (pow a 2) b)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) b) a) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b)))))) |
(*.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 a a) b) a) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 b (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) b)) (*.f64 a b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(+ (* -1 (sin b)) (* -1/2 (* a (cos b)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) |
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))) |
(* 1/6 a) |
(*.f64 #s(literal 1/6 binary64) a) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos a) |
(cos.f64 a) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
a |
(* a (+ 1 (/ b a))) |
(fma.f64 (/.f64 b a) a a) |
(/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r) (/.f64 b (cos.f64 a))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(* b (sin a)) |
(*.f64 (sin.f64 a) b) |
(* 1/6 (* (pow a 2) (sin b))) |
(*.f64 (*.f64 (*.f64 (sin.f64 b) a) a) #s(literal 1/6 binary64)) |
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 b) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 b))) a) a) |
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(*.f64 (fma.f64 (sin.f64 b) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 (/.f64 (cos.f64 b) a) #s(literal -1/2 binary64))) (*.f64 a a)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (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)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (/.f64 b a) a a) |
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 b) (/.f64 (sin.f64 b) a)) (neg.f64 a))) a) a) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (*.f64 r (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (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 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (*.f64 r (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 a))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (*.f64 r (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
(* b (+ 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 (*.f64 #s(literal 1/120 binary64) 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) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 #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) |
(/.f64 (cos.f64 a) b) |
(/ (+ (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 #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 (-.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 a)) (*.f64 (cos.f64 a) #s(literal 23/360 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) (* 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)) |
(+ (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))))) |
(* -1/2 a) |
(*.f64 #s(literal -1/2 binary64) a) |
(+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) b (*.f64 #s(literal -1/2 binary64) a)) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1))) |
(fma.f64 (fma.f64 a (fma.f64 b #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) a)) #s(literal -1 binary64)) b (*.f64 #s(literal -1/2 binary64) a)) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) b) #s(literal -1/6 binary64))) b (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) b (*.f64 #s(literal -1/2 binary64) a)) |
(sin b) |
(sin.f64 b) |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) 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 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 b b)) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (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)) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (/.f64 a b) b b) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 208 |
| 0 | 72 | 222 |
| 1 | 253 | 194 |
| 2 | 1769 | 194 |
| 0 | 8263 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) |
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)) |
(/.f64 b (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a 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)))) |
#s(approx (cos (+ a 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))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (sin.f64 a) b) |
(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)) |
(*.f64 #s(literal 1/6 binary64) a) |
| Outputs |
|---|
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a 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)))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.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) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.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)))) (/.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 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 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 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b))) |
(*.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 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.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 (cos.f64 (+.f64 a b))) (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 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r) #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 (sin.f64 b) r)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.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 (neg.f64 (*.f64 r #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 r))) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 (neg.f64 r)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))) |
(/.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 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))) |
(/.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 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 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) (/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 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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(/.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 #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 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.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))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b)))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.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 (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 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (+.f64 a b)) |
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(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
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(*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
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(*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(pow.f64 (/.f64 (cos.f64 a) (*.f64 b r)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 a) b))) |
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(/.f64 (neg.f64 (*.f64 r (neg.f64 b))) (neg.f64 (neg.f64 (cos.f64 a)))) |
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(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 (cos.f64 a) r)) |
(/.f64 (*.f64 (neg.f64 r) b) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 (neg.f64 b) r) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 b (neg.f64 r)) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 r (neg.f64 b)) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 a) b)) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (cos.f64 a) r)) |
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(/.f64 (*.f64 b r) (cos.f64 a)) |
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(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 a) b))) |
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (cos.f64 a) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
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(fma.f64 (*.f64 (/.f64 b (cos.f64 a)) (sin.f64 a)) (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a))) b) (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(fma.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) b) r) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
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(fma.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) b) r) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
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(fma.f64 (*.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a))) (/.f64 b (cos.f64 a)) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(fma.f64 (*.f64 (sin.f64 a) b) (*.f64 (/.f64 r (cos.f64 a)) (/.f64 b (cos.f64 a))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(fma.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (/.f64 r (cos.f64 a))) (pow.f64 b #s(literal -1 binary64))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(fma.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) b) r) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
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(fma.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) b) r) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) |
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(pow.f64 (/.f64 (cos.f64 a) b) #s(literal -1 binary64)) |
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(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))) |
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))) |
(pow.f64 (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) (*.f64 (sin.f64 b) r))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) (*.f64 (sin.f64 b) r)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))) |
(*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.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 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 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) (neg.f64 (/.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))) |
(*.f64 (sin.f64 a) b) |
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(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)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 b) a)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 b) a))))) |
(+.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 a a))) (neg.f64 (sin.f64 b))) |
(+.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 a a)) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a))) |
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b))) |
(*.f64 #s(literal 1/6 binary64) a) |
(*.f64 a #s(literal 1/6 binary64)) |
Compiled 34 981 to 3 625 computations (89.6% saved)
58 alts after pruning (56 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 949 | 41 | 990 |
| Fresh | 13 | 15 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 965 | 58 | 1 023 |
| Status | Accuracy | Program |
|---|---|---|
| 45.9% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 58.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (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)))))) | |
| ▶ | 58.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
| 58.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 61.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) | |
| 77.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 52.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) | |
| 57.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) | |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 57.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (*.f64 #s(literal -1/2 binary64) a)) a (cos.f64 b)))) | |
| 56.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 51.9% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) | |
| 52.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 52.1% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) b #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 51.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) | |
| 51.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 66.2% | (/.f64 r (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))))) | |
| 86.4% | (/.f64 r (/.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)))) | |
| ▶ | 62.3% | (/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
| 57.8% | (/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))) (sin.f64 b))) | |
| 99.3% | (/.f64 r (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.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)))) (sin.f64 b)) (/.f64 (/.f64 (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)))) (sin.f64 b)))) | |
| 99.4% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) | |
| 77.7% | (/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 52.5% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin 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))) | |
| 55.3% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) | |
| 60.6% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b)))) | |
| 52.0% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) | |
| 58.3% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) | |
| 77.2% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 77.8% | (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) | |
| 99.3% | (*.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% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) | |
| 99.3% | (*.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)))) | |
| 77.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 58.0% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))) r) | |
| 77.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 77.7% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) | |
| 77.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 77.8% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 35.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 60.7% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 52.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 51.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| ✓ | 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) | |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) | |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) | |
| 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) | |
| ▶ | 52.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) |
| ▶ | 35.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| 32.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) | |
| 33.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
Compiled 2 618 to 1 760 computations (32.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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))))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #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)))))) | |
| cost-diff | 0 | (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) | |
| cost-diff | 0 | (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)) | |
| cost-diff | 384 | (/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) | |
| cost-diff | 896 | (fma.f64 (/.f64 a b) b b) | |
| cost-diff | 0 | (pow.f64 (cos.f64 a) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 b r) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) | |
| cost-diff | 6080 | (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 b r) | |
| cost-diff | 0 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| cost-diff | 0 | (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 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 311 |
| 0 | 74 | 311 |
| 1 | 121 | 311 |
| 2 | 180 | 302 |
| 3 | 271 | 292 |
| 4 | 401 | 292 |
| 5 | 713 | 292 |
| 6 | 1992 | 292 |
| 7 | 3578 | 292 |
| 8 | 4207 | 292 |
| 9 | 4937 | 292 |
| 10 | 6254 | 292 |
| 11 | 6982 | 292 |
| 0 | 8210 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(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) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) |
(*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
(*.f64 b r) |
b |
r |
(pow.f64 (cos.f64 a) #s(literal -1 binary64)) |
(cos.f64 a) |
a |
#s(literal -1 binary64) |
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
r |
(/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)) |
(cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) |
#s(approx (+ a b) (fma.f64 (/.f64 a b) b b)) |
(fma.f64 (/.f64 a b) b b) |
(/.f64 a b) |
a |
b |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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))))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.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)))) |
(cos.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))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 a a) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 r (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))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 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) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
(*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 b r) |
b |
r |
(pow.f64 (cos.f64 a) #s(literal -1 binary64)) |
(cos.f64 a) |
a |
#s(literal -1 binary64) |
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (+.f64 a b)))) |
r |
(/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)) |
(/.f64 (cos.f64 #s(approx (+ a b) (+.f64 a b))) (sin.f64 b)) |
(cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) |
(cos.f64 #s(approx (+ a b) (+.f64 a b))) |
#s(approx (+ a b) (fma.f64 (/.f64 a b) b b)) |
#s(approx (+ a b) (+.f64 a b)) |
(fma.f64 (/.f64 a b) b b) |
(+.f64 a b) |
(/.f64 a b) |
a |
b |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #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))))) |
(fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.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)))) |
(*.f64 #s(approx (cos a) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) |
(cos.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 (cos a) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 a a) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.25 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| accuracy | 0.47807995023454564 | (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) | |
| accuracy | 31.761168413280995 | #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))) | |
| accuracy | 0.203125 | (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)) | |
| accuracy | 0.265625 | (/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) | |
| accuracy | 8.435398601981246 | (fma.f64 (/.f64 a b) b b) | |
| accuracy | 14.085793266758472 | (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) | |
| accuracy | 0.0 | (cos.f64 a) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) | |
| accuracy | 0.17578125 | (pow.f64 (cos.f64 a) #s(literal -1 binary64)) | |
| accuracy | 30.58941547415552 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (*.f64 b r) | |
| accuracy | 22.818710351203123 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| accuracy | 30.58941547415552 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| accuracy | 0.06935502930532605 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| accuracy | 0.13671875 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) | |
| accuracy | 0.25 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 163.0ms | 181× | 1 | valid |
| 41.0ms | 74× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 532 to 85 computations (84% saved)
ival-mult: 31.0ms (22.4% of total)ival-cos: 27.0ms (19.5% of total)ival-sin: 22.0ms (15.9% of total)ival-div: 20.0ms (14.5% of total)adjust: 12.0ms (8.7% of total)ival-add: 10.0ms (7.2% of total)ival-pow: 6.0ms (4.3% of total)const: 5.0ms (3.6% of total)ival-neg: 2.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) |
(pow.f64 (cos.f64 a) #s(literal -1 binary64)) |
(fma.f64 (/.f64 a b) b b) |
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
(/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)) |
(cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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))))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(cos.f64 a) |
#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))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
1 |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2))))) |
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2))))))) |
b |
(+ a 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) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(+ 1 (* -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))) |
-1/2 |
(- (* 1/24 (pow a 2)) 1/2) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ 1 (cos a)) |
a |
(* a (+ 1 (/ b a))) |
(/ (cos (+ a b)) (sin b)) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(cos a) |
(* 1/24 (pow a 2)) |
(* (pow a 2) (- 1/24 (* 1/2 (/ 1 (pow a 2))))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos (- b (* -1 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (cos a) b) |
(/ (+ (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) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(* b (+ 1 (/ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | r | @ | -inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (* b r) (pow (cos a) -1)) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (+ (* (/ a b) b) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos a) (cos a) (+ (* 1/24 (* a a)) -1/2)) |
| 7.0ms | b | @ | 0 | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (* b r) (pow (cos a) -1)) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (+ (* (/ a b) b) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos a) (cos a) (+ (* 1/24 (* a a)) -1/2)) |
| 4.0ms | r | @ | inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (* b r) (pow (cos a) -1)) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (+ (* (/ a b) b) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos a) (cos a) (+ (* 1/24 (* a a)) -1/2)) |
| 3.0ms | a | @ | inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (* b r) (pow (cos a) -1)) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (+ (* (/ a b) b) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos a) (cos a) (+ (* 1/24 (* a a)) -1/2)) |
| 3.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (* b r) (pow (cos a) -1)) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (+ (* (/ a b) b) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos a) (cos a) (+ (* 1/24 (* a a)) -1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 1220 |
| 1 | 1048 | 1144 |
| 2 | 3361 | 1085 |
| 0 | 8289 | 1006 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
1 |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2))))) |
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2))))))) |
b |
(+ a 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) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(+ 1 (* -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))) |
-1/2 |
(- (* 1/24 (pow a 2)) 1/2) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ 1 (cos a)) |
a |
(* a (+ 1 (/ b a))) |
(/ (cos (+ a b)) (sin b)) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(cos a) |
(* 1/24 (pow a 2)) |
(* (pow a 2) (- 1/24 (* 1/2 (/ 1 (pow a 2))))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos (- b (* -1 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (cos a) b) |
(/ (+ (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) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(* b (+ 1 (/ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(/ (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 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b r) |
(*.f64 b r) |
(/ (* r (sin b)) (cos 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 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (*.f64 r (-.f64 (*.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)) |
(+ (* 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 (neg.f64 (fma.f64 r (-.f64 (*.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))) (*.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 (*.f64 r (-.f64 (*.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)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b r) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2))))) |
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 a a) #s(literal 5/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
b |
(+ a b) |
(+.f64 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 (- (* -1/2 (* 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)) |
(* -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) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (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 (neg.f64 a) (sin.f64 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))))))))) |
(*.f64 (fma.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))) (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) a) |
(+ 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)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow a 2)) 1/2) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/ 1 (cos a)) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
a |
(* a (+ 1 (/ b a))) |
(fma.f64 (/.f64 b a) a a) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(cos a) |
(cos.f64 a) |
(* 1/24 (pow a 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 a a)) |
(* (pow a 2) (- 1/24 (* 1/2 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) a) a) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (/.f64 b a) a a) |
(/ (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)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #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 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 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) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ (cos a) b) |
(/.f64 (cos.f64 a) b) |
(/ (+ (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 #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 #s(literal -1/3 binary64) (cos.f64 a) (*.f64 (fma.f64 (cos.f64 a) #s(literal 1/30 binary64) (*.f64 (cos.f64 a) #s(literal -1/18 binary64))) (*.f64 b b))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) 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 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* -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) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (neg.f64 b) (sin.f64 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))))))))) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal -1 binary64)))) b) |
(sin b) |
(sin.f64 b) |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) b b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (/.f64 a b) b 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 | 44 | 222 |
| 0 | 74 | 218 |
| 1 | 257 | 204 |
| 2 | 1554 | 200 |
| 0 | 8357 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) |
(pow.f64 (cos.f64 a) #s(literal -1 binary64)) |
(fma.f64 (/.f64 a b) b b) |
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
(/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)) |
(cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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))))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(cos.f64 a) |
#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))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.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 (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 #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.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 (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 #s(literal 1 binary64) (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 (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 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.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 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.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 (sin.f64 b) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(*.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 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (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) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (sin.f64 a))) (sin.f64 b)))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (*.f64 (*.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 4 binary64)) (pow.f64 (*.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)))) #s(literal 2 binary64)))) (*.f64 (+.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.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))))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.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)))) #s(literal 3 binary64)))) (*.f64 (+.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.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)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.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))))))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))) |
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))) |
(/.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))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(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) |
(*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (+.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))) (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))) |
(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) (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 (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)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))))))) |
(/.f64 (neg.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)))) (neg.f64 (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(/.f64 (neg.f64 (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 (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))))) (neg.f64 (neg.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)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (sin.f64 a))) (sin.f64 b)) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (sin.f64 a))) (sin.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (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)))) (-.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 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (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)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (sin.f64 a))) (sin.f64 b)))))) |
(/.f64 (neg.f64 (+.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)))) (neg.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))))) |
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (sin.f64 a))) (sin.f64 b))))) |
(/.f64 (+.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 #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) (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 (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 #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) (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 (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 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(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 (sin.f64 a) (neg.f64 (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))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (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))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 r b) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 b (cos.f64 a))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b) r) |
(*.f64 (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 b r))) |
(*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (*.f64 b r)) |
(*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (*.f64 b (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) |
(*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)) |
(pow.f64 (/.f64 (cos.f64 a) (*.f64 b r)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 b r))) (neg.f64 (cos.f64 a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) b)) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 (/.f64 (cos.f64 a) r))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b r) #s(literal 1 binary64))) (neg.f64 (cos.f64 a))) |
(/.f64 (neg.f64 (*.f64 b (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 a) r))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 b r))) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 b r)) (cos.f64 a)) |
(/.f64 (*.f64 (neg.f64 r) b) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 (cos.f64 a) r)) |
(/.f64 (*.f64 (*.f64 b r) #s(literal 1 binary64)) (cos.f64 a)) |
(/.f64 (*.f64 b (neg.f64 r)) (neg.f64 (cos.f64 a))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (cos.f64 a) r)) |
(/.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a))) |
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (cos.f64 a) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (cos.f64 a))) |
(pow.f64 (/.f64 (cos.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 a) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 a))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 (log.f64 (cos.f64 a)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b)) (pow.f64 (fma.f64 a #s(literal 1 binary64) (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 b (-.f64 b (*.f64 a #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
(pow.f64 (/.f64 (fma.f64 a #s(literal 1 binary64) (neg.f64 b)) (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 b (-.f64 b (*.f64 a #s(literal 1 binary64))))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a #s(literal 1 binary64) (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (fma.f64 a #s(literal 1 binary64) (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a #s(literal 1 binary64) (neg.f64 b))) (/.f64 (*.f64 (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a #s(literal 1 binary64) (neg.f64 b))) (fma.f64 (/.f64 (*.f64 b b) (fma.f64 a #s(literal 1 binary64) (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 a #s(literal 1 binary64) (neg.f64 b))) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1 binary64)) (fma.f64 a #s(literal 1 binary64) (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 a #s(literal 1 binary64) (neg.f64 b))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 1 binary64)))) (neg.f64 (-.f64 b (*.f64 a #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b)))) (neg.f64 (neg.f64 (fma.f64 a #s(literal 1 binary64) (neg.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 b (-.f64 b (*.f64 a #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 b b)) (fma.f64 a #s(literal 1 binary64) (neg.f64 b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) b) #s(literal 2 binary64)))) (fma.f64 a #s(literal 1 binary64) (neg.f64 b)))) |
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(fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) |
(fma.f64 a (*.f64 #s(literal 1/24 binary64) a) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))) |
Compiled 15 631 to 1 921 computations (87.7% saved)
63 alts after pruning (58 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 471 | 11 | 482 |
| Fresh | 4 | 47 | 51 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 477 | 63 | 540 |
| Status | Accuracy | Program |
|---|---|---|
| 45.9% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 99.1% | (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.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)))) #s(literal 3 binary64)))) (*.f64 (+.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.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)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.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))))))))) | |
| 58.0% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 58.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (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)))))) | |
| 58.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 61.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| ▶ | 59.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))) |
| 57.8% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)))))) | |
| 65.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) | |
| 64.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 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))))) | |
| 77.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 57.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) | |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 57.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (*.f64 #s(literal -1/2 binary64) a)) a (cos.f64 b)))) | |
| 56.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 51.9% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) | |
| 52.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ▶ | 51.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
| 51.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 66.2% | (/.f64 r (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))))) | |
| 86.4% | (/.f64 r (/.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)))) | |
| ✓ | 62.3% | (/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
| 70.3% | (/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (*.f64 a b) (pow.f64 b #s(literal -1 binary64)) b))) (sin.f64 b))) | |
| 57.8% | (/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))) (sin.f64 b))) | |
| 99.3% | (/.f64 r (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.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)))) (sin.f64 b)) (/.f64 (/.f64 (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)))) (sin.f64 b)))) | |
| ▶ | 99.4% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) |
| ▶ | 77.7% | (/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
| 52.5% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin 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))) | |
| 55.3% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) | |
| 60.6% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b)))) | |
| 52.0% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) | |
| 58.3% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) | |
| 77.2% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 77.8% | (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) | |
| 99.3% | (*.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% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) | |
| 99.3% | (*.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)))) | |
| 77.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 58.0% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))) r) | |
| 77.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 77.7% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) | |
| 77.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 77.8% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 35.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 60.7% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 52.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 51.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| ✓ | 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) | |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) | |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) | |
| 34.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) | |
| 34.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) | |
| 52.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) | |
| ✓ | 35.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| 32.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) | |
| ▶ | 33.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
Compiled 2 978 to 1 929 computations (35.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 b)) | |
| cost-diff | 384 | (/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) | |
| cost-diff | 576 | (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) | |
| 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 (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b))) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) | |
| cost-diff | 0 | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) | |
| cost-diff | 13824 | (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 414 |
| 0 | 100 | 408 |
| 1 | 192 | 398 |
| 2 | 401 | 392 |
| 3 | 971 | 381 |
| 4 | 2335 | 380 |
| 5 | 4833 | 380 |
| 6 | 7630 | 380 |
| 0 | 8309 | 375 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) |
r |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) |
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
a |
(cos.f64 b) |
b |
(sin.f64 b) |
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.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 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) |
(*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b) |
(*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
r |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 b b) |
b |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
r |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))) |
(cos.f64 b) |
(cos.f64 a) |
a |
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 r (-.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 (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (neg.f64 (sin.f64 a)))) |
r |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) |
(fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (neg.f64 (sin.f64 a))) |
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 a) |
a |
(cos.f64 b) |
b |
(sin.f64 b) |
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) |
(sin.f64 a) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 (*.f64 b a) b b) r))) |
#s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b))) |
#s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 (*.f64 b a) b b) r)) |
(*.f64 r (fma.f64 (*.f64 a b) b b)) |
(*.f64 (fma.f64 (*.f64 b a) b b) r) |
r |
(fma.f64 (*.f64 a b) b b) |
(fma.f64 (*.f64 b a) b b) |
(*.f64 a b) |
(*.f64 b a) |
a |
b |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) r)) (cos.f64 (+.f64 b a))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) r)) |
(*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) r) |
(*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) r) |
r |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 b b) |
b |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
r |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) |
(neg.f64 (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) (sin.f64 b))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) (sin.f64 b)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) |
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) (sin.f64 b))) |
(*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) (sin.f64 b)) |
(*.f64 (sin.f64 b) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))) | |
| accuracy | 0.3359375 | (*.f64 #s(literal 1/6 binary64) a) | |
| accuracy | 0.5643678661023313 | (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) | |
| accuracy | 31.71855980423804 | #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) | |
| accuracy | 0.09375 | (/.f64 #s(literal -1 binary64) (sin.f64 b)) | |
| accuracy | 0.265625 | (/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| accuracy | 0.29296875 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) | |
| accuracy | 14.085793266758472 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.25 | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 1.675397734031692 | (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) | |
| accuracy | 14.085793266758472 | (cos.f64 (+.f64 a b)) | |
| accuracy | 30.63860312476337 | #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 a b) b b) | |
| accuracy | 2.867513288913876 | (*.f64 r (fma.f64 (*.f64 a b) b b)) | |
| accuracy | 21.90282146095039 | #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b))) | |
| accuracy | 30.76533558056412 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) | |
| accuracy | 0.18359375 | (*.f64 (sin.f64 a) (sin.f64 b)) | |
| accuracy | 0.1953125 | (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) | |
| accuracy | 0.265625 | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) | |
| accuracy | 6.403260229629999 | (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) |
| 267.0ms | 181× | 1 | valid |
| 62.0ms | 75× | 0 | valid |
Compiled 740 to 114 computations (84.6% saved)
ival-mult: 85.0ms (33.2% of total)const: 50.0ms (19.5% of total)adjust: 35.0ms (13.7% of total)ival-cos: 28.0ms (10.9% of total)ival-div: 25.0ms (9.8% of total)ival-sin: 16.0ms (6.3% of total)ival-add: 13.0ms (5.1% of total)ival-sub: 2.0ms (0.8% of total)ival-neg: 2.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) |
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.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 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) |
(*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #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 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) a) |
| Outputs |
|---|
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a)) |
(* r (+ b (* a (pow b 2)))) |
(* r (sin b)) |
(* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) (cos a))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (cos b) (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))) |
(+ (* -1/2 (/ (* (pow a 2) (cos b)) (sin b))) (/ (cos b) (sin b))) |
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* 1/24 (/ (* (pow a 2) (cos b)) (sin b))))) (/ (cos b) (sin b))) |
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* (pow a 2) (+ (* -1/720 (/ (* (pow a 2) (cos b)) (sin b))) (* 1/24 (/ (cos b) (sin b))))))) (/ (cos 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 (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r)) |
b |
(+ b (* a (pow b 2))) |
(* -1 (cos b)) |
(+ (* -1 (cos b)) (* a (sin b))) |
(+ (* -1 (cos b)) (* a (+ (sin b) (* 1/2 (* a (cos b)))))) |
(+ (* -1 (cos b)) (* a (+ (sin b) (* a (+ (* -1/6 (* a (sin b))) (* 1/2 (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)))))))) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(* 1/6 a) |
(sin a) |
(- (/ (* (cos a) (cos b)) (sin b)) (sin a)) |
(/ (* (cos a) (cos b)) (sin b)) |
(/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a)) |
(* a (* (pow b 2) r)) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(* a (pow b 2)) |
(* a (+ (/ b a) (pow b 2))) |
(* -1 (cos (+ a b))) |
(/ (cos (+ a b)) (sin b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (sin a) (sin b)) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(* 1/6 (* (pow a 3) (sin b))) |
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (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))))) |
(* -1 (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos (- b (* -1 a))) |
(* -1 (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (* -1 (* b (+ (/ (* r (* (sin a) (- (* -1/2 (cos a)) (* -1/6 (cos a))))) (pow (cos a) 3)) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2)))) (cos a))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (cos a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (- (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (sin a)))) b) |
(/ (+ (cos a) (* b (- (* 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)))) (sin a)))) b) |
(/ (+ (cos a) (* (pow b 2) (- (* -1/2 (cos a)) (* -1/6 (cos a))))) b) |
(/ (+ (cos a) (* (pow b 2) (- (+ (* -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) (* (pow b 2) (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (+ (* 1/24 (cos a)) (* (pow b 2) (- (* -1/720 (cos a)) (+ (* -1/6 (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a))))) (+ (* -1/5040 (cos a)) (* 1/120 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos 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)))) |
(* 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 (* a (* b r)))) |
(* b (+ 1 (* 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))))))) |
r |
(+ r (* -1/6 (* (pow b 2) r))) |
(+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))) |
1 |
(+ 1 (* -1/6 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) |
(* -1 (cos a)) |
(+ (* -1 (cos a)) (* b (sin a))) |
(+ (* -1 (cos a)) (* b (+ (sin a) (* 1/2 (* b (cos a)))))) |
(+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1/6 (* b (sin a))) (* 1/2 (cos a))))))) |
(/ (+ (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) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* a (* b (- (* 1/6 (pow a 2)) 1))) |
(* b (+ (* -1/6 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))) (* a (- (* 1/6 (pow a 2)) 1)))) |
(* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* (pow b 2) (+ (* -1/6 (* a (- (* 1/6 (pow a 2)) 1))) (* 1/120 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))))))) |
(* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* (pow b 2) (+ (* -1/6 (* a (- (* 1/6 (pow a 2)) 1))) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))) (* 1/120 (* a (- (* 1/6 (pow a 2)) 1))))))))) |
(/ (* (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))) |
(* 1/120 (* (pow b 4) r)) |
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r))) |
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4))))) |
(* 1/120 (pow b 4)) |
(* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2))))) |
(/ -1 (sin b)) |
(sin b) |
(* a (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | r | @ | inf | ((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* r (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1)) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (/ (cos (+ a b)) -1) (* (/ -1 (sin b)) (/ (cos (+ a b)) -1)) (/ r (* (/ -1 (sin b)) (/ (cos (+ a b)) -1))) (/ -1 (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* (sin b) a) (+ (* (* 1/6 a) a) -1)) (* 1/6 a)) |
| 9.0ms | a | @ | inf | ((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* r (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1)) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (/ (cos (+ a b)) -1) (* (/ -1 (sin b)) (/ (cos (+ a b)) -1)) (/ r (* (/ -1 (sin b)) (/ (cos (+ a b)) -1))) (/ -1 (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* (sin b) a) (+ (* (* 1/6 a) a) -1)) (* 1/6 a)) |
| 8.0ms | b | @ | -inf | ((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* r (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1)) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (/ (cos (+ a b)) -1) (* (/ -1 (sin b)) (/ (cos (+ a b)) -1)) (/ r (* (/ -1 (sin b)) (/ (cos (+ a b)) -1))) (/ -1 (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* (sin b) a) (+ (* (* 1/6 a) a) -1)) (* 1/6 a)) |
| 7.0ms | r | @ | -inf | ((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* r (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1)) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (/ (cos (+ a b)) -1) (* (/ -1 (sin b)) (/ (cos (+ a b)) -1)) (/ r (* (/ -1 (sin b)) (/ (cos (+ a b)) -1))) (/ -1 (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* (sin b) a) (+ (* (* 1/6 a) a) -1)) (* 1/6 a)) |
| 6.0ms | r | @ | 0 | ((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (* r (+ (* (* a b) b) b)) (+ (* (* a b) b) b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* r (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1)) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (/ (cos (+ a b)) -1) (* (/ -1 (sin b)) (/ (cos (+ a b)) -1)) (/ r (* (/ -1 (sin b)) (/ (cos (+ a b)) -1))) (/ -1 (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (sin b)) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* (sin b) a) (+ (* (* 1/6 a) a) -1)) (* 1/6 a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 563 | 2386 |
| 1 | 1808 | 2251 |
| 2 | 5647 | 2069 |
| 0 | 8978 | 1926 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a)) |
(* r (+ b (* a (pow b 2)))) |
(* r (sin b)) |
(* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) (cos a))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (cos b) (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))) |
(+ (* -1/2 (/ (* (pow a 2) (cos b)) (sin b))) (/ (cos b) (sin b))) |
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* 1/24 (/ (* (pow a 2) (cos b)) (sin b))))) (/ (cos b) (sin b))) |
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* (pow a 2) (+ (* -1/720 (/ (* (pow a 2) (cos b)) (sin b))) (* 1/24 (/ (cos b) (sin b))))))) (/ (cos 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 (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r)) |
b |
(+ b (* a (pow b 2))) |
(* -1 (cos b)) |
(+ (* -1 (cos b)) (* a (sin b))) |
(+ (* -1 (cos b)) (* a (+ (sin b) (* 1/2 (* a (cos b)))))) |
(+ (* -1 (cos b)) (* a (+ (sin b) (* a (+ (* -1/6 (* a (sin b))) (* 1/2 (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)))))))) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(* 1/6 a) |
(sin a) |
(- (/ (* (cos a) (cos b)) (sin b)) (sin a)) |
(/ (* (cos a) (cos b)) (sin b)) |
(/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a)) |
(* a (* (pow b 2) r)) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(* a (pow b 2)) |
(* a (+ (/ b a) (pow b 2))) |
(* -1 (cos (+ a b))) |
(/ (cos (+ a b)) (sin b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (sin a) (sin b)) |
(cos (+ a b)) |
(* -1 (* (sin a) (sin b))) |
(* 1/6 (* (pow a 3) (sin b))) |
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (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))))) |
(* -1 (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(cos (- b (* -1 a))) |
(* -1 (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (* -1 (* b (+ (/ (* r (* (sin a) (- (* -1/2 (cos a)) (* -1/6 (cos a))))) (pow (cos a) 3)) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2)))) (cos a))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (cos a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (- (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (sin a)))) b) |
(/ (+ (cos a) (* b (- (* 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)))) (sin a)))) b) |
(/ (+ (cos a) (* (pow b 2) (- (* -1/2 (cos a)) (* -1/6 (cos a))))) b) |
(/ (+ (cos a) (* (pow b 2) (- (+ (* -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) (* (pow b 2) (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (+ (* 1/24 (cos a)) (* (pow b 2) (- (* -1/720 (cos a)) (+ (* -1/6 (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a))))) (+ (* -1/5040 (cos a)) (* 1/120 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos 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)))) |
(* 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 (* a (* b r)))) |
(* b (+ 1 (* 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))))))) |
r |
(+ r (* -1/6 (* (pow b 2) r))) |
(+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))) |
1 |
(+ 1 (* -1/6 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) |
(* -1 (cos a)) |
(+ (* -1 (cos a)) (* b (sin a))) |
(+ (* -1 (cos a)) (* b (+ (sin a) (* 1/2 (* b (cos a)))))) |
(+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1/6 (* b (sin a))) (* 1/2 (cos a))))))) |
(/ (+ (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) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* a (* b (- (* 1/6 (pow a 2)) 1))) |
(* b (+ (* -1/6 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))) (* a (- (* 1/6 (pow a 2)) 1)))) |
(* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* (pow b 2) (+ (* -1/6 (* a (- (* 1/6 (pow a 2)) 1))) (* 1/120 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))))))) |
(* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* (pow b 2) (+ (* -1/6 (* a (- (* 1/6 (pow a 2)) 1))) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))) (* 1/120 (* a (- (* 1/6 (pow a 2)) 1))))))))) |
(/ (* (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))) |
(* 1/120 (* (pow b 4) r)) |
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r))) |
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4))))) |
(* 1/120 (pow b 4)) |
(* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2))))) |
(/ -1 (sin b)) |
(sin b) |
(* a (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r) (/.f64 b (cos.f64 a))) |
(* r (+ b (* a (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) a b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) 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)))) |
(* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) (cos a))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (neg.f64 b) #s(literal -1 binary64)) r) (neg.f64 (/.f64 b (cos.f64 a)))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/6 binary64) a) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) a) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) 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 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (*.f64 r (-.f64 (*.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)) |
(+ (* 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 (neg.f64 (fma.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 (*.f64 r (-.f64 (*.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)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (*.f64 r (-.f64 (*.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)) a)) |
(/ (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))) |
(+ (* -1/2 (/ (* (pow a 2) (cos b)) (sin b))) (/ (cos b) (sin b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (cos.f64 b) (sin.f64 b))) |
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* 1/24 (/ (* (pow a 2) (cos b)) (sin b))))) (/ (cos b) (sin b))) |
(fma.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 (cos.f64 b) (sin.f64 b))) |
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* (pow a 2) (+ (* -1/720 (/ (* (pow a 2) (cos b)) (sin b))) (* 1/24 (/ (cos b) (sin b))))))) (/ (cos b) (sin b))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))))) |
(* b r) |
(*.f64 r b) |
(+ (* 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 (*.f64 r b) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 r b)) |
(+ (* a (+ (* a (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 r b) (*.f64 (*.f64 (*.f64 (*.f64 r b) b) #s(literal 5/6 binary64)) a)) a (*.f64 (*.f64 r b) b)) a (*.f64 r b)) |
b |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(* -1 (cos b)) |
(neg.f64 (cos.f64 b)) |
(+ (* -1 (cos b)) (* a (sin b))) |
(fma.f64 (sin.f64 b) a (neg.f64 (cos.f64 b))) |
(+ (* -1 (cos b)) (* a (+ (sin b) (* 1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 b)) a (sin.f64 b)) a (neg.f64 (cos.f64 b))) |
(+ (* -1 (cos b)) (* a (+ (sin b) (* a (+ (* -1/6 (* a (sin b))) (* 1/2 (cos 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 (sin.f64 b)) a (neg.f64 (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 (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 (sin.f64 b) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (*.f64 a a) #s(literal 1/120 binary64) #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) |
(+ (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)) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 (sin.f64 b)) a) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (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 (neg.f64 (sin.f64 b)) a)) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #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) |
(* 1/6 a) |
(*.f64 #s(literal 1/6 binary64) a) |
(sin a) |
(sin.f64 a) |
(- (/ (* (cos a) (cos b)) (sin b)) (sin a)) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)) |
(/ (* (cos a) (cos b)) (sin b)) |
(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) |
(/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a)) r) (/.f64 b (cos.f64 a))) |
(* a (* (pow b 2) r)) |
(*.f64 (*.f64 (*.f64 r b) b) a) |
(* a (+ (* (pow b 2) r) (/ (* b r) a))) |
(*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r 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) |
(* -1 (cos (+ a b))) |
(neg.f64 (cos.f64 (+.f64 b a))) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (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 b)) |
(cos.f64 (+.f64 b a)) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(* 1/6 (* (pow a 3) (sin b))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (sin.f64 b)) |
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))) |
(*.f64 (*.f64 (sin.f64 b) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a))))) |
(*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(* -1 (cos (- b (* -1 a)))) |
(neg.f64 (cos.f64 (+.f64 b a))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(* -1 (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))) |
(*.f64 (*.f64 (sin.f64 b) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2))))) (* -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 (neg.f64 b) (*.f64 r (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1 (* b (+ (/ (* r (* (sin a) (- (* -1/2 (cos a)) (* -1/6 (cos a))))) (pow (cos a) 3)) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2)))) (cos a))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2))))) (* -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 (neg.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) (*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64))) r (*.f64 (*.f64 r (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))) b (*.f64 r (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b)) b (/.f64 r (cos.f64 a))) b) |
(/ (cos a) b) |
(/.f64 (cos.f64 a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b) |
(/ (+ (cos a) (* b (- (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (sin 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 (- (* 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)))) (sin a)))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 a) #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) (cos.f64 a))) (*.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) (* (pow b 2) (- (* -1/2 (cos a)) (* -1/6 (cos a))))) b) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) b (cos.f64 a)) b) |
(/ (+ (cos a) (* (pow b 2) (- (+ (* -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 (cos.f64 a) #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/3 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)) b) |
(/ (+ (cos a) (* (pow b 2) (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (+ (* 1/24 (cos a)) (* (pow b 2) (- (* -1/720 (cos a)) (+ (* -1/6 (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a))))) (+ (* -1/5040 (cos a)) (* 1/120 (- (* -1/2 (cos a)) (* -1/6 (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 (-.f64 (*.f64 #s(literal -1/720 binary64) (cos.f64 a)) (fma.f64 (fma.f64 (cos.f64 a) #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) (cos.f64 a))) #s(literal -1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/336 binary64)))) (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) (cos.f64 a)))) (*.f64 b b) (*.f64 #s(literal -1/3 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* a (* b r)))) |
(*.f64 (fma.f64 (*.f64 b b) a b) r) |
(* b (+ 1 (* a b))) |
(fma.f64 (*.f64 b b) a b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) 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 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/5040 binary64)) r (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))) (*.f64 r b)) |
r |
(+ r (* -1/6 (* (pow b 2) r))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) |
(+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) r) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow b 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(* -1 (cos a)) |
(neg.f64 (cos.f64 a)) |
(+ (* -1 (cos a)) (* b (sin a))) |
(fma.f64 (sin.f64 a) b (neg.f64 (cos.f64 a))) |
(+ (* -1 (cos a)) (* b (+ (sin a) (* 1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 a)) b (sin.f64 a)) b (neg.f64 (cos.f64 a))) |
(+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1/6 (* b (sin a))) (* 1/2 (cos a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 a) (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 a) b))) b (sin.f64 a)) b (neg.f64 (cos.f64 a))) |
(/ (+ (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 (cos.f64 a) #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/3 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b)) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) 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 (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 -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b))) 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 (sin.f64 a) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) 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) |
(+ (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 -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 b) (sin.f64 a)) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (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 (neg.f64 b) (sin.f64 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))))))))) |
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 #s(literal 1/6 binary64) 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) |
(* a (* b (- (* 1/6 (pow a 2)) 1))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) b) |
(* b (+ (* -1/6 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))) (* a (- (* 1/6 (pow a 2)) 1)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a))) b) |
(* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* (pow b 2) (+ (* -1/6 (* a (- (* 1/6 (pow a 2)) 1))) (* 1/120 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) b)) |
(* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* (pow b 2) (+ (* -1/6 (* a (- (* 1/6 (pow a 2)) 1))) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) (- (* 1/6 (pow a 2)) 1)))) (* 1/120 (* a (- (* 1/6 (pow a 2)) 1))))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) a (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 b b) a)))))) 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) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* (pow b 2) (+ (* a r) (/ r b))) |
(*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b) |
(* (pow b 2) (+ a (/ 1 b))) |
(fma.f64 (*.f64 b b) a b) |
(* 1/120 (* (pow b 4) r)) |
(*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/120 binary64)) r) |
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r))) |
(*.f64 (*.f64 r (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4))))) |
(*.f64 (fma.f64 r (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) (/.f64 r (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* 1/120 (pow b 4)) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(sin b) |
(sin.f64 b) |
(* a (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 a)) (sin.f64 b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(* -1 (cos (- a (* -1 b)))) |
(neg.f64 (cos.f64 (+.f64 b a))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 327 |
| 0 | 100 | 299 |
| 1 | 377 | 294 |
| 2 | 2770 | 293 |
| 0 | 8316 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) |
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.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 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) |
(*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #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 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) a) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (/.f64 (sin.f64 a) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (sin.f64 b))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a))) |
(*.f64 #s(literal 1 binary64) (sin.f64 a)) |
(*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 b) (/.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 a) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal -1 binary64)) (sin.f64 b)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (neg.f64 (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) (sin.f64 b)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (neg.f64 (sin.f64 b))) |
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)) |
(neg.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (sin.f64 b))) |
(*.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 (neg.f64 r) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r) #s(literal -1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) #s(literal 1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a))) (pow.f64 (sin.f64 b) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (-.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 b) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b)))) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64))) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (sin.f64 b)) (*.f64 (sin.f64 b) (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal -1 binary64)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) (*.f64 (sin.f64 b) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (sin.f64 b)))) (*.f64 (sin.f64 b) (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (*.f64 (sin.f64 b) (neg.f64 (neg.f64 (sin.f64 b))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (*.f64 #s(literal 2 binary64) (sin.f64 b)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (neg.f64 (sin.f64 b))) (*.f64 (sin.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)))) (neg.f64 (sin.f64 b))) (*.f64 (sin.f64 b) (neg.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (/.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (pow.f64 (sin.f64 a) #s(literal -1 binary64))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (pow.f64 (sin.f64 a) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (sin.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (sin.f64 b))) |
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(/.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)) (*.f64 (sin.f64 a) #s(literal -1 binary64)))) |
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(/.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b)))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b))) |
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(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (-.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 2 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 a)) #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a))) |
(fma.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a))) |
(fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (cos.f64 b) (*.f64 (cos.f64 a) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (cos.f64 a) (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a))) |
(fma.f64 (sin.f64 a) #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b)))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (sin.f64 a))) |
(+.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a))) |
(+.f64 (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)) (*.f64 (sin.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a))) |
(*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (cos.f64 a) (pow.f64 (tan.f64 b) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (sin.f64 b)) |
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (neg.f64 (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (sin.f64 b)) |
(/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (sin.f64 b))) |
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(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 b) (cos.f64 a))) |
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(neg.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 b) (cos.f64 a))) #s(literal -1 binary64))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 (*.f64 b a) b b) r))) |
#s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 (*.f64 b a) b b) r)) |
(*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 (fma.f64 (*.f64 b a) b b) r) |
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(/.f64 (*.f64 r (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (neg.f64 b) b))) (fma.f64 (*.f64 b b) a (neg.f64 b))) |
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(/.f64 (fma.f64 (pow.f64 (*.f64 r a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 r b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 b b) a) r) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 r b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) r) (*.f64 r b))))) |
(fma.f64 (*.f64 r (*.f64 b a)) b (*.f64 r b)) |
(fma.f64 (*.f64 r a) (*.f64 b b) (*.f64 r b)) |
(fma.f64 (*.f64 r b) (*.f64 b a) (*.f64 r b)) |
(fma.f64 (*.f64 (*.f64 b b) a) r (*.f64 r b)) |
(fma.f64 (*.f64 b a) (*.f64 r b) (*.f64 r b)) |
(fma.f64 r (*.f64 (*.f64 b b) a) (*.f64 r b)) |
(fma.f64 r b (*.f64 (*.f64 (*.f64 b b) a) r)) |
(fma.f64 b (*.f64 (*.f64 b a) r) (*.f64 r b)) |
(fma.f64 b r (*.f64 (*.f64 (*.f64 b b) a) r)) |
(fma.f64 a (*.f64 (*.f64 b b) r) (*.f64 r b)) |
(+.f64 (*.f64 r b) (*.f64 (*.f64 (*.f64 b b) a) r)) |
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(*.f64 (fma.f64 b a #s(literal 1 binary64)) b) |
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(*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 b (-.f64 b (*.f64 (*.f64 b b) a)))) #s(literal -1 binary64))) |
(*.f64 b (fma.f64 b a #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) a (neg.f64 b)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (neg.f64 b) b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 b (-.f64 b (*.f64 (*.f64 b b) a)))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) a (neg.f64 b))) (*.f64 (fma.f64 (*.f64 b b) a (neg.f64 b)) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 b b) a (neg.f64 b)) (fma.f64 (*.f64 b b) a (neg.f64 b)))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 b (*.f64 (*.f64 b b) a))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (neg.f64 b) b))) (neg.f64 (fma.f64 (*.f64 b b) a (neg.f64 b)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 b (-.f64 b (*.f64 (*.f64 b b) a)))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 b b) a (neg.f64 b))) |
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(pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))) |
(neg.f64 (cos.f64 (+.f64 b a))) |
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(-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (sin.f64 b) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)))) (neg.f64 (sin.f64 b))) (*.f64 (sin.f64 b) (neg.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (/.f64 (pow.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sin.f64 b)))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sin.f64 b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (sin.f64 b))) |
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(fma.f64 (*.f64 (sin.f64 b) a) (*.f64 (*.f64 #s(literal 1/6 binary64) a) a) (*.f64 (neg.f64 (sin.f64 b)) a)) |
(fma.f64 (*.f64 (sin.f64 b) a) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64)) (*.f64 a a))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (*.f64 (*.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64)) (*.f64 a a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) a) (*.f64 (*.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64)) (*.f64 a a))) |
(fma.f64 (sin.f64 b) (*.f64 a (*.f64 (*.f64 #s(literal 1/6 binary64) a) a)) (*.f64 (neg.f64 (sin.f64 b)) a)) |
(fma.f64 (sin.f64 b) (*.f64 a #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64)) (*.f64 a a))) |
(fma.f64 a (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 (sin.f64 b) a)) (*.f64 (neg.f64 (sin.f64 b)) a)) |
(fma.f64 a (*.f64 (sin.f64 b) (*.f64 (*.f64 #s(literal 1/6 binary64) a) a)) (*.f64 (neg.f64 (sin.f64 b)) a)) |
(fma.f64 a (neg.f64 (sin.f64 b)) (*.f64 (*.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) a) (*.f64 (*.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64)) (*.f64 a a)) (*.f64 (neg.f64 (sin.f64 b)) a)) |
(*.f64 #s(literal 1/6 binary64) a) |
(*.f64 a #s(literal 1/6 binary64)) |
Compiled 22 631 to 3 007 computations (86.7% saved)
60 alts after pruning (54 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 29 | 725 |
| Fresh | 28 | 25 | 53 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 728 | 60 | 788 |
| Status | Accuracy | Program |
|---|---|---|
| 45.9% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 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))))) | |
| 77.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) | |
| 60.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 56.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) | |
| 57.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (*.f64 #s(literal -1/2 binary64) a)) a (cos.f64 b)))) | |
| ✓ | 51.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
| 51.1% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)))) | |
| 51.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) | |
| 51.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 99.5% | (/.f64 r (fma.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) #s(literal -1 binary64)))) | |
| 99.4% | (/.f64 r (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)))) | |
| 99.4% | (/.f64 r (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64)))) | |
| 99.5% | (/.f64 r (fma.f64 (sin.f64 a) #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)))) | |
| 99.4% | (/.f64 r (fma.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64)))) | |
| ✓ | 62.3% | (/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
| 70.3% | (/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (*.f64 a b) (pow.f64 b #s(literal -1 binary64)) b))) (sin.f64 b))) | |
| 99.5% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(approx (/ (* (sin a) (sin b)) (sin b)) (sin.f64 a)))) | |
| 60.6% | (/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(approx (/ (cos (+ a b)) -1) (neg.f64 (cos.f64 b))))) | |
| 56.7% | (/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(approx (/ (cos (+ a b)) -1) (neg.f64 (cos.f64 a))))) | |
| 51.7% | (/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 52.4% | (/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 52.3% | (/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 52.4% | (/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 52.5% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin 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))) | |
| 55.3% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) | |
| 60.6% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b)))) | |
| 52.0% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) | |
| 58.3% | (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) | |
| 77.2% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 77.8% | (*.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (*.f64 r (sin.f64 b))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) | |
| 77.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 83.1% | (*.f64 (/.f64 r (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) | |
| 77.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 77.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 77.7% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) | |
| 77.8% | (*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r) #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 60.7% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 51.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| ✓ | 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) | |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) | |
| 34.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| 52.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) | |
| 34.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) | |
| 34.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) | |
| 52.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) | |
| ✓ | 35.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| 34.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) | |
| 33.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) | |
| 32.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) | |
| 16.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) | |
| 29.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) | |
| 17.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) | |
| 27.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
Compiled 4 139 to 1 533 computations (63% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 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)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b)))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (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 r) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (*.f64 #s(literal -1/2 binary64) a)) a (cos.f64 b)))) |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(approx (/ (cos (+ a b)) -1) (neg.f64 (cos.f64 a))))) |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(approx (/ (cos (+ a b)) -1) (neg.f64 (cos.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) |
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) |
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (*.f64 r (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.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 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (*.f64 a b) (pow.f64 b #s(literal -1 binary64)) b))) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin 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))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)))) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 r (fma.f64 (sin.f64 a) #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)))) |
(/.f64 r (fma.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(approx (/ (* (sin a) (sin b)) (sin b)) (sin.f64 a)))) |
(/.f64 r (fma.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos 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)))) |
(/.f64 r (fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) b #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))) r) |
(/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a 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)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.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)))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 r (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(/.f64 r (/.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 (+ a b))) (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a))) b (/.f64 r (cos.f64 a))) b)) |
(*.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 (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 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))))) |
(*.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 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(/.f64 r (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.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)))) (sin.f64 b)) (/.f64 (/.f64 (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)))) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))) |
(/.f64 r (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.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)))) #s(literal 3 binary64)))) (*.f64 (+.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.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)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.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))))))))) |
| Outputs |
|---|
(/.f64 r (fma.f64 (sin.f64 a) #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)))) |
4 calls:
| 44.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 30.0ms | r |
| 30.0ms | b |
| 29.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 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)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b)))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (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 r) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (*.f64 #s(literal -1/2 binary64) a)) a (cos.f64 b)))) |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(approx (/ (cos (+ a b)) -1) (neg.f64 (cos.f64 a))))) |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(approx (/ (cos (+ a b)) -1) (neg.f64 (cos.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) |
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b))) |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) |
(*.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (*.f64 r (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.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 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (*.f64 a b) (pow.f64 b #s(literal -1 binary64)) b))) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin 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))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)))) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
4 calls:
| 18.0ms | r |
| 18.0ms | b |
| 17.0ms | a |
| 16.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 1 | r |
| 77.9% | 1 | a |
| 77.9% | 1 | b |
| 77.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 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)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
4 calls:
| 12.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 11.0ms | b |
| 10.0ms | r |
| 10.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 1 | a |
| 77.8% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 77.8% | 1 | r |
| 77.8% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 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)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
4 calls:
| 13.0ms | b |
| 11.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 10.0ms | r |
| 10.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 3 | a |
| 60.7% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 64.2% | 2 | r |
| 77.3% | 3 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 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)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
1 calls:
| 10.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 3 | a |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 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)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
2 calls:
| 9.0ms | a |
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 3 | b |
| 76.0% | 3 | a |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
4 calls:
| 26.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 8.0ms | a |
| 8.0ms | r |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 52.4% | 1 | r |
| 52.4% | 1 | a |
| 52.4% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
4 calls:
| 12.0ms | b |
| 9.0ms | r |
| 8.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | r |
| 52.4% | 1 | b |
| 52.4% | 1 | a |
| 52.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 b r) (pow.f64 #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(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r #s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
4 calls:
| 10.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 7.0ms | r |
| 7.0ms | b |
| 7.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | r |
| 52.1% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 52.1% | 1 | a |
| 52.1% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
Total -12.9b remaining (-31.2%)
Threshold costs -12.9b (-31.2%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (*.f64 r b) b) a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r (fma.f64 (*.f64 a b) b b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (*.f64 r (fma.f64 b a #s(literal 1 binary64))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 b a) (fma.f64 r b (/.f64 r a)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) #s(approx (* r (+ (* (* a b) b) b)) (*.f64 (*.f64 (fma.f64 r a (/.f64 r b)) b) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (*.f64 r #s(approx (+ (* (* a b) b) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ b (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r)) (fma.f64 (*.f64 (*.f64 b r) (fma.f64 #s(literal 1/2 binary64) a b)) a (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #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)))) b)) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
4 calls:
| 30.0ms | r |
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 4.0ms | b |
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.4% | 1 | r |
| 35.4% | 1 | a |
| 35.4% | 1 | b |
| 35.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.0018883094768396874 | 1.5727991430550599 |
| 13.0ms | -21914952898.940308 | -10879614100.064547 |
| 14.0ms | 89× | 1 | valid |
| 8.0ms | 119× | 0 | valid |
Compiled 324 to 300 computations (7.4% saved)
ival-cos: 6.0ms (36.6% of total)ival-sin: 4.0ms (24.4% of total)ival-add: 2.0ms (12.2% of total)adjust: 2.0ms (12.2% of total)ival-div: 1.0ms (6.1% of total)ival-mult: 1.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0018883094768396874 | 1.5727991430550599 |
| 1.0ms | -21914952898.940308 | -10879614100.064547 |
Compiled 389 to 339 computations (12.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.20508318330233252 | 22.360514174096775 |
| 21.0ms | -0.0009379234666780335 | -2.2885182591928144e-6 |
| 18.0ms | 107× | 1 | valid |
| 9.0ms | 133× | 0 | valid |
Compiled 507 to 419 computations (17.4% saved)
ival-cos: 6.0ms (31.1% of total)ival-add: 5.0ms (25.9% of total)ival-sin: 3.0ms (15.6% of total)ival-div: 2.0ms (10.4% of total)adjust: 2.0ms (10.4% of total)ival-mult: 2.0ms (10.4% 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 | 75 | 232 |
| 1 | 95 | 232 |
| 2 | 109 | 232 |
| 3 | 121 | 232 |
| 4 | 131 | 232 |
| 5 | 137 | 232 |
| 6 | 142 | 232 |
| 7 | 159 | 232 |
| 8 | 257 | 232 |
| 9 | 3693 | 232 |
| 10 | 7671 | 232 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 r (fma.f64 (sin.f64 a) #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 a #s(literal -11000000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8762203435012037/4611686018427387904 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(if (<=.f64 a #s(literal -11000000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8762203435012037/4611686018427387904 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(if (<=.f64 b #s(literal -700976274800963/36893488147419103232 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7566047373982433/36028797018963968 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| Outputs |
|---|
(/.f64 r (fma.f64 (sin.f64 a) #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 a #s(literal -11000000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8762203435012037/4611686018427387904 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(if (or (<=.f64 a #s(literal -11000000000 binary64)) (not (<=.f64 a #s(literal 8762203435012037/4611686018427387904 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(if (<=.f64 a #s(literal -11000000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8762203435012037/4611686018427387904 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(if (or (<=.f64 a #s(literal -11000000000 binary64)) (not (<=.f64 a #s(literal 8762203435012037/4611686018427387904 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(if (<=.f64 b #s(literal -700976274800963/36893488147419103232 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7566047373982433/36028797018963968 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (or (<=.f64 b #s(literal -700976274800963/36893488147419103232 binary64)) (not (<=.f64 b #s(literal 7566047373982433/36028797018963968 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) (pow.f64 b #s(literal -1 binary64)))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (/.f64 #s(literal 1 binary64) b))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (*.f64 #s(literal -1/6 binary64) b) (pow.f64 b #s(literal -1 binary64)))) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 327 |
| 0 | 100 | 299 |
| 1 | 377 | 294 |
| 2 | 2770 | 293 |
| 0 | 8316 | 291 |
| 0 | 40 | 208 |
| 0 | 72 | 222 |
| 1 | 253 | 194 |
| 2 | 1769 | 194 |
| 0 | 8263 | 194 |
| 0 | 563 | 2386 |
| 1 | 1808 | 2251 |
| 2 | 5647 | 2069 |
| 0 | 8978 | 1926 |
| 0 | 452 | 1653 |
| 1 | 1416 | 1561 |
| 2 | 4518 | 1497 |
| 0 | 8135 | 1384 |
| 0 | 167 | 593 |
| 1 | 517 | 561 |
| 2 | 1610 | 519 |
| 3 | 5575 | 500 |
| 0 | 8699 | 472 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2062 | 19 |
| 0 | 8507 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 528 to 282 computations (46.6% saved)
(negabs r)
Compiled 560 to 234 computations (58.2% saved)
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