
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 951.0ms | 5 874× | 1 | valid |
| 164.0ms | 2 382× | 0 | valid |
ival-cos: 256.0ms (30.7% of total)ival-sin: 227.0ms (27.2% of total)adjust: 133.0ms (15.9% of total)ival-add: 78.0ms (9.3% of total)ival-div: 65.0ms (7.8% of total)ival-mult: 65.0ms (7.8% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 132 | (2.688260052767266e-146 2.6801876722796534e+152 -3.089656182881287e-273) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (+.f64 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 | 194 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 62 | 0 |
| - | 132 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 62 | 0 | 0 |
| - | 132 | 0 | 62 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 146.0ms | 370× | 1 | valid |
| 11.0ms | 142× | 0 | valid |
Compiled 113 to 44 computations (61.1% saved)
ival-sin: 96.0ms (71.8% of total)ival-cos: 16.0ms (12% of total)adjust: 8.0ms (6% of total)ival-add: 6.0ms (4.5% of total)ival-div: 4.0ms (3% of total)ival-mult: 4.0ms (3% 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 | 478 | 84 |
| 4 | 1399 | 84 |
| 5 | 2338 | 84 |
| 6 | 2925 | 84 |
| 7 | 3299 | 84 |
| 8 | 3481 | 84 |
| 9 | 3698 | 84 |
| 10 | 3927 | 84 |
| 11 | 3933 | 84 |
| 12 | 3933 | 84 |
| 13 | 3941 | 84 |
| 14 | 3961 | 84 |
| 15 | 3969 | 84 |
| 16 | 3969 | 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 |
|---|---|---|
| ▶ | 79.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 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 | (sin.f64 b) | |
| accuracy | 0.12109375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.205410009768442 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.089994638612268 | (cos.f64 (+.f64 a b)) |
| 48.0ms | 185× | 1 | valid |
| 5.0ms | 71× | 0 | valid |
Compiled 52 to 18 computations (65.4% saved)
ival-cos: 18.0ms (48% of total)ival-mult: 6.0ms (16% of total)ival-sin: 5.0ms (13.3% of total)adjust: 3.0ms (8% of total)ival-add: 2.0ms (5.3% of total)ival-div: 2.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | b | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 593 |
| 1 | 517 | 561 |
| 2 | 1600 | 519 |
| 3 | 5430 | 518 |
| 0 | 8316 | 486 |
| 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))) |
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (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 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (/.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 (*.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)) |
(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 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 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)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 r) (sin.f64 a)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) 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 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (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 | 2050 | 19 |
| 0 | 8441 | 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 3 289 to 553 computations (83.2% saved)
39 alts after pruning (39 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 39 | 165 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 127 | 39 | 166 |
| Status | Accuracy | Program |
|---|---|---|
| 50.5% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 36.1% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 78.7% | (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.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)))) | |
| 80.5% | (/.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))) (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))))) | |
| 99.4% | (/.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))))))) | |
| 79.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) | |
| 79.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 79.2% | (/.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)))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 80.4% | (/.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))) (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)))) | |
| ▶ | 56.6% | (/.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)))) |
| 56.6% | (/.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)))) | |
| 57.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 56.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 58.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 59.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 55.6% | (/.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))) | |
| 55.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 55.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 79.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 78.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 79.3% | (*.f64 (pow.f64 (/.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))) | |
| ▶ | 79.3% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
| 79.3% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 80.4% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) | |
| 79.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 79.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 79.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 79.3% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 79.3% | (*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| ▶ | 79.4% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
| 36.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 55.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a))) | |
| 56.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) | |
| 55.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) | |
| 58.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) | |
| ▶ | 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
Compiled 1 518 to 1 072 computations (29.4% 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 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))) | |
| 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 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)))) | |
| cost-diff | 0 | (neg.f64 (sin.f64 b)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) | |
| cost-diff | 128 | (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) | |
| cost-diff | 7168 | (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (neg.f64 r) | |
| cost-diff | 192 | (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 256 | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a 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 | 6336 | (/.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: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 293 |
| 0 | 76 | 286 |
| 1 | 132 | 282 |
| 2 | 248 | 278 |
| 3 | 524 | 278 |
| 4 | 1325 | 278 |
| 5 | 2620 | 278 |
| 6 | 4541 | 278 |
| 7 | 6060 | 278 |
| 8 | 7279 | 275 |
| 9 | 7898 | 275 |
| 0 | 8056 | 275 |
| 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 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(neg.f64 r) |
r |
(*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(sin.f64 b) |
b |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) |
#s(literal -1 binary64) |
(neg.f64 (sin.f64 b)) |
(sin.f64 b) |
b |
(/.f64 r (cos.f64 (+.f64 a b))) |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.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 r (sin.f64 b)) |
r |
(sin.f64 b) |
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))) |
(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)) |
(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))) |
(sin.f64 a) |
a |
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) b) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) |
(*.f64 (cos.f64 a) b) |
(cos.f64 a) |
#s(literal -1/2 binary64) |
| 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 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a))) |
(*.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 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 r) |
r |
(*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(sin.f64 b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(neg.f64 (sin.f64 b)) |
(sin.f64 b) |
b |
(/.f64 r (cos.f64 (+.f64 a b))) |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.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 (sin.f64 b) r) #s(approx (cos (+ a b)) (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)))) |
(*.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 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))) |
#s(approx (cos (+ a b)) (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))) |
(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)) |
(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)) |
(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))) |
(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))) |
(sin.f64 a) |
a |
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) b) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) |
(*.f64 (cos.f64 a) b) |
(cos.f64 a) |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.205410009768442 | (/.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)))) | |
| accuracy | 0.28515625 | (*.f64 #s(literal 1/6 binary64) b) | |
| accuracy | 4.956957560169927 | (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))) | |
| accuracy | 28.234820798621424 | #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))) | |
| accuracy | 0.19140625 | (/.f64 r (cos.f64 (+.f64 a b))) | |
| accuracy | 0.20703125 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.25 | (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) | |
| accuracy | 13.089994638612268 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.1640625 | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| accuracy | 0.16796875 | (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.23046875 | (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| accuracy | 13.089994638612268 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.09765625 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| accuracy | 0.14453125 | (/.f64 r (cos.f64 a)) | |
| accuracy | 28.169743844370366 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| accuracy | 0.08203125 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.09832001953688403 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.12109375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.205410009768442 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 237.0ms | 183× | 1 | valid |
| 22.0ms | 73× | 0 | valid |
Compiled 549 to 83 computations (84.9% saved)
ival-mult: 47.0ms (24% of total)ival-cos: 35.0ms (17.8% of total)ival-pow: 34.0ms (17.3% of total)ival-div: 28.0ms (14.3% of total)ival-sin: 20.0ms (10.2% of total)adjust: 12.0ms (6.1% of total)ival-add: 9.0ms (4.6% of total)const: 5.0ms (2.5% of total)ival-neg: 4.0ms (2% 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 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(neg.f64 r) |
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 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)))) |
(neg.f64 (sin.f64 b)) |
(/.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)))) |
#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 (cos.f64 b) (cos.f64 a)) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(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))) |
(*.f64 #s(literal 1/6 binary64) b) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* -1 r) |
(/ r (cos (+ a b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(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))) |
(* -1 (/ (sin b) (cos b))) |
(+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))))))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(/ -1 (cos b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(* -1/2 b) |
(+ (* -1/2 b) (* a (- (* 1/6 (pow b 2)) 1))) |
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* 1/4 (* a b))) 1))) |
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* a (+ (* -1/6 (* a (- (* 1/6 (pow b 2)) 1))) (* 1/4 b)))) 1))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(cos (+ a b)) |
(* (cos a) (cos b)) |
(/ -1 (cos (+ a b))) |
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(cos (- b (* -1 a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* -1 (/ b (cos a))) |
(* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(* b (- (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (- (* b (+ (* -1 (/ (sin a) (pow (cos a) 2))) (* b (+ (* -1 (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2)))))))))) (/ 1 (cos a)))) |
(/ 1 b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(+ (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 (cos a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -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 (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (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))) |
(* -1 (sin a)) |
(+ (* -1 (sin a)) (* -1/2 (* b (cos a)))) |
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))) |
(* 1/6 b) |
(sin b) |
(/ 1 (sin b)) |
(* -1 (sin b)) |
(* 1/6 (* (pow b 2) (sin a))) |
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))) |
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(cos (- a (* -1 b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | 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) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b)) |
| 13.0ms | 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) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b)) |
| 10.0ms | a | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b)) |
| 7.0ms | 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) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b)) |
| 6.0ms | 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) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 523 | 2196 |
| 1 | 1655 | 2057 |
| 2 | 5462 | 2022 |
| 0 | 8491 | 1888 |
| 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)) |
(* -1 r) |
(/ r (cos (+ a b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(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))) |
(* -1 (/ (sin b) (cos b))) |
(+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))))))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(/ -1 (cos b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(* -1/2 b) |
(+ (* -1/2 b) (* a (- (* 1/6 (pow b 2)) 1))) |
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* 1/4 (* a b))) 1))) |
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* a (+ (* -1/6 (* a (- (* 1/6 (pow b 2)) 1))) (* 1/4 b)))) 1))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(cos (+ a b)) |
(* (cos a) (cos b)) |
(/ -1 (cos (+ a b))) |
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(cos (- b (* -1 a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* -1 (/ b (cos a))) |
(* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(* b (- (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (- (* b (+ (* -1 (/ (sin a) (pow (cos a) 2))) (* b (+ (* -1 (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2)))))))))) (/ 1 (cos a)))) |
(/ 1 b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(+ (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 (cos a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -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 (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (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))) |
(* -1 (sin a)) |
(+ (* -1 (sin a)) (* -1/2 (* b (cos a)))) |
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))) |
(* 1/6 b) |
(sin b) |
(/ 1 (sin b)) |
(* -1 (sin b)) |
(* 1/6 (* (pow b 2) (sin a))) |
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))) |
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(cos (- a (* -1 b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a)))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(* -1 r) |
(neg.f64 r) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64)) (sin.f64 b))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) r)) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64)) (sin.f64 b)))) 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)) |
(* b r) |
(*.f64 b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 b r)) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.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 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 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 (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) a) (neg.f64 a) (*.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) |
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b |
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(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 a))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (sin.f64 a) (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a))) b (+.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 a))))) b (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* -1 (* b (+ (* -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))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (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))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (sin.f64 a) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) |
(* -1 (sin a)) |
(neg.f64 (sin.f64 a)) |
(+ (* -1 (sin a)) (* -1/2 (* b (cos a)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) |
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))) |
(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))) |
(* 1/6 b) |
(*.f64 #s(literal 1/6 binary64) b) |
(sin b) |
(sin.f64 b) |
(/ 1 (sin b)) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* 1/6 (* (pow b 2) (sin a))) |
(*.f64 (*.f64 (*.f64 (sin.f64 a) b) b) #s(literal 1/6 binary64)) |
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) b) b) |
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (/.f64 (/.f64 (sin.f64 a) b) b)) (*.f64 b b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 a) (/.f64 (sin.f64 a) b)) (neg.f64 b))) b) b) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 205 |
| 0 | 76 | 213 |
| 1 | 248 | 176 |
| 2 | 1560 | 176 |
| 0 | 8506 | 176 |
| 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 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(neg.f64 r) |
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 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)))) |
(neg.f64 (sin.f64 b)) |
(/.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)))) |
#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 (cos.f64 b) (cos.f64 a)) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(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))) |
(*.f64 #s(literal 1/6 binary64) b) |
| Outputs |
|---|
(*.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 (*.f64 (neg.f64 (sin.f64 b)) r) #s(literal -1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.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 (neg.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 (neg.f64 r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 (neg.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 (neg.f64 (sin.f64 b)) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 r) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r #s(literal -1 binary64))) |
(*.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 (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)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (-.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 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) 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 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) r) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 r) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.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 (neg.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 (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 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.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 (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)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) #s(literal -1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) r) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (pow.f64 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 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
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(/.f64 (*.f64 b r) (cos.f64 a)) |
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(cos.f64 a) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 a)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(fma.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) (sin.f64 a)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)))) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(fma.f64 (*.f64 (sin.f64 a) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)))) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(fma.f64 (*.f64 (sin.f64 a) (*.f64 #s(literal 1/6 binary64) b)) b (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(fma.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(fma.f64 (*.f64 (sin.f64 a) b) (*.f64 #s(literal 1/6 binary64) b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) |
(fma.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(fma.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (neg.f64 (sin.f64 a)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) |
(fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) (sin.f64 a) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) |
(fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 b (sin.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b b) (sin.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) |
(fma.f64 (sin.f64 a) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(fma.f64 b (*.f64 (*.f64 #s(literal 1/6 binary64) b) (sin.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b))) (sin.f64 a)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b))) (neg.f64 (sin.f64 a))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))))) |
(+.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) |
(*.f64 #s(literal 1/6 binary64) b) |
(*.f64 b #s(literal 1/6 binary64)) |
Compiled 21 470 to 2 711 computations (87.4% saved)
72 alts after pruning (70 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 741 | 57 | 798 |
| Fresh | 21 | 13 | 34 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 765 | 72 | 837 |
| Status | Accuracy | Program |
|---|---|---|
| 50.5% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ▶ | 36.1% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
| 99.4% | (/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 65.9% | (/.f64 (*.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 85.2% | (/.f64 (*.f64 r (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ▶ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #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)))) |
| 59.2% | (/.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)))) | |
| 79.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))))) | |
| 79.3% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 57.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 56.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| ▶ | 58.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
| 56.5% | (/.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 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))) | |
| 56.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) | |
| 59.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 55.6% | (/.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))) | |
| 79.3% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 79.3% | (/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| 55.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 56.3% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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)))) | |
| 55.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| ▶ | 79.3% | (/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) | |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) r)) | |
| 78.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 37.4% | (*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) | |
| 58.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) | |
| 56.1% | (*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) | |
| 43.3% | (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (-.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 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) 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)))) | |
| 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)))) | |
| 80.4% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) | |
| 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)))) | |
| 79.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) | |
| 79.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 54.0% | (*.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 79.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 53.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (neg.f64 (*.f64 r r)))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 79.3% | (*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) | |
| 33.8% | (*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 37.4% | (*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 99.2% | (*.f64 (neg.f64 r) (*.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 #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))))) | |
| 79.3% | (*.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 54.9% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (fma.f64 (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) a (/.f64 #s(literal -1 binary64) (cos.f64 b)))))) | |
| 58.7% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) | |
| 59.3% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) | |
| 32.4% | (*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 55.0% | (*.f64 (neg.f64 r) #s(approx (* (sin b) (/ -1 (cos (+ a b)))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))))) | |
| 79.3% | (*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))) | |
| 36.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 55.8% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) | |
| 58.7% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 55.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 55.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) | |
| 55.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| ✓ | 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 34.5% | #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)) | |
| 34.6% | #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)) | |
| 34.5% | #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)) | |
| 55.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) | |
| 27.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) | |
| 27.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) | |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| ▶ | 35.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 2 966 to 2 204 computations (25.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) | |
| cost-diff | 0 | (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| cost-diff | 6464 | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| cost-diff | 12800 | (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (pow.f64 (sin.f64 b) #s(literal -1 binary64)) | |
| cost-diff | 384 | (/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| cost-diff | 0 | (*.f64 b r) | |
| cost-diff | 0 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 13824 | (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 263 |
| 0 | 74 | 252 |
| 1 | 120 | 250 |
| 2 | 230 | 230 |
| 3 | 553 | 230 |
| 4 | 2037 | 230 |
| 5 | 4120 | 230 |
| 6 | 6496 | 230 |
| 7 | 7217 | 230 |
| 8 | 7815 | 230 |
| 0 | 8024 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.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 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) |
(neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 b) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) |
(cos.f64 b) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
r |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
(sin.f64 b) |
b |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
r |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.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 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.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))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) |
(sin.f64 b) |
(neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 b) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) |
(cos.f64 b) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
r |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
(sin.f64 b) |
b |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) |
(log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
r |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.35540162982935825 | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| accuracy | 2.3905338822389597 | (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) | |
| accuracy | 3.87803688728149 | (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| accuracy | 5.7266708961819 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.03515625 | (pow.f64 (sin.f64 b) #s(literal -1 binary64)) | |
| accuracy | 0.12890625 | (/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.166347509768442 | (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) | |
| accuracy | 5.7266708961819 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (cos.f64 b) | |
| accuracy | 0.05859375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.109375 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| accuracy | 14.480043296346745 | #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) | |
| accuracy | 0 | (*.f64 b r) | |
| accuracy | 12.268618419516875 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| accuracy | 13.968809563645532 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| accuracy | 0.05859375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.09765625 | (pow.f64 (sin.f64 b) #s(literal 2 binary64)) | |
| accuracy | 0.109375 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| accuracy | 7.757346119271019 | (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) |
| 171.0ms | 87× | 1 | valid |
| 74.0ms | 88× | 1 | invalid |
| 45.0ms | 36× | 0 | valid |
| 36.0ms | 45× | 0 | invalid |
Compiled 509 to 85 computations (83.3% saved)
ival-cos: 123.0ms (43.8% of total)ival-mult: 42.0ms (14.9% of total)ival-neg: 26.0ms (9.3% of total)ival-sin: 22.0ms (7.8% of total)ival-div: 19.0ms (6.8% of total)ival-pow: 15.0ms (5.3% of total)adjust: 11.0ms (3.9% of total)ival-log: 9.0ms (3.2% of total)ival-add: 5.0ms (1.8% of total)ival-exp: 4.0ms (1.4% of total)ival-pow2: 4.0ms (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 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) |
(pow.f64 (sin.f64 b) #s(literal 2 binary64)) |
(cos.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (cos (+ a b)) (* r (sin b))) |
(+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r))) |
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b)))) |
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 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))) |
(+ (* 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))))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(/ (cos b) (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) (* r (sin b))) |
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(log (/ (cos b) (* r (sin b)))) |
(+ (log (/ (cos b) (* r (sin b)))) (* -1 (/ (* a (sin b)) (cos b)))) |
(+ (log (/ (cos b) (* r (sin b)))) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))) |
(+ (log (/ (cos b) (* r (sin b)))) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (cos (+ a b)) (sin b)) |
(log (/ (cos (+ a b)) (* r (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(log (/ (cos (- b (* -1 a))) (* r (sin b)))) |
(cos (- b (* -1 a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(* 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))))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (cos a) 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) |
(/ 1 b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
(/ (cos a) (* b r)) |
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(+ (log (/ (cos a) r)) (* -1 (log b))) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* -1 (/ (* b (sin a)) (cos a))))) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a)))))))))) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (* 6 (/ (* r (* (sin a) (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r))))) (pow (cos a) 2)))))) (* 1/2 (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a))))))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -1/3 (pow b 2)))) |
(* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/45 (pow b 2)) 1/3)))) |
(* (pow b 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/45 (* -1/315 (pow b 2)))) 1/3)))) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ 1 (sin b)) |
(pow (sin b) 2) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos (- a (* -1 b))) (* r (sin b))) |
(log (/ (cos (- a (* -1 b))) (* r (sin b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 74.0ms | r | @ | 0 | ((/ (neg (pow (sin b) 2)) (neg (sin b))) (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (pow (sin b) -1) (cos (+ a b))) (/ r (* (pow (sin b) -1) (cos (+ a b)))) (pow (sin b) -1) (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (pow (exp (log (/ (cos (+ a b)) (* (sin b) r)))) -1) (log (/ (cos (+ a b)) (* (sin b) r))) (/ (cos (+ a b)) (* (sin b) r)) (pow (sin b) 2) (cos b) (cos (+ a b))) |
| 44.0ms | a | @ | inf | ((/ (neg (pow (sin b) 2)) (neg (sin b))) (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (pow (sin b) -1) (cos (+ a b))) (/ r (* (pow (sin b) -1) (cos (+ a b)))) (pow (sin b) -1) (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (pow (exp (log (/ (cos (+ a b)) (* (sin b) r)))) -1) (log (/ (cos (+ a b)) (* (sin b) r))) (/ (cos (+ a b)) (* (sin b) r)) (pow (sin b) 2) (cos b) (cos (+ a b))) |
| 29.0ms | b | @ | -inf | ((/ (neg (pow (sin b) 2)) (neg (sin b))) (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (pow (sin b) -1) (cos (+ a b))) (/ r (* (pow (sin b) -1) (cos (+ a b)))) (pow (sin b) -1) (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (pow (exp (log (/ (cos (+ a b)) (* (sin b) r)))) -1) (log (/ (cos (+ a b)) (* (sin b) r))) (/ (cos (+ a b)) (* (sin b) r)) (pow (sin b) 2) (cos b) (cos (+ a b))) |
| 28.0ms | r | @ | -inf | ((/ (neg (pow (sin b) 2)) (neg (sin b))) (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (pow (sin b) -1) (cos (+ a b))) (/ r (* (pow (sin b) -1) (cos (+ a b)))) (pow (sin b) -1) (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (pow (exp (log (/ (cos (+ a b)) (* (sin b) r)))) -1) (log (/ (cos (+ a b)) (* (sin b) r))) (/ (cos (+ a b)) (* (sin b) r)) (pow (sin b) 2) (cos b) (cos (+ a b))) |
| 22.0ms | b | @ | inf | ((/ (neg (pow (sin b) 2)) (neg (sin b))) (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (pow (sin b) -1) (cos (+ a b))) (/ r (* (pow (sin b) -1) (cos (+ a b)))) (pow (sin b) -1) (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (pow (exp (log (/ (cos (+ a b)) (* (sin b) r)))) -1) (log (/ (cos (+ a b)) (* (sin b) r))) (/ (cos (+ a b)) (* (sin b) r)) (pow (sin b) 2) (cos b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 1626 |
| 1 | 1290 | 1543 |
| 2 | 3998 | 1512 |
| 0 | 8699 | 1413 |
| 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) |
(/ (cos (+ a b)) (* r (sin b))) |
(+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r))) |
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b)))) |
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 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))) |
(+ (* 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))))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(/ (cos b) (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) (* r (sin b))) |
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(log (/ (cos b) (* r (sin b)))) |
(+ (log (/ (cos b) (* r (sin b)))) (* -1 (/ (* a (sin b)) (cos b)))) |
(+ (log (/ (cos b) (* r (sin b)))) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))) |
(+ (log (/ (cos b) (* r (sin b)))) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (cos (+ a b)) (sin b)) |
(log (/ (cos (+ a b)) (* r (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(log (/ (cos (- b (* -1 a))) (* r (sin b)))) |
(cos (- b (* -1 a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(* 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))))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (cos a) 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) |
(/ 1 b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
(/ (cos a) (* b r)) |
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(+ (log (/ (cos a) r)) (* -1 (log b))) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* -1 (/ (* b (sin a)) (cos a))))) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a)))))))))) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (* 6 (/ (* r (* (sin a) (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r))))) (pow (cos a) 2)))))) (* 1/2 (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a))))))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -1/3 (pow b 2)))) |
(* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/45 (pow b 2)) 1/3)))) |
(* (pow b 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/45 (* -1/315 (pow b 2)))) 1/3)))) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ 1 (sin b)) |
(pow (sin b) 2) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(/ (cos (- a (* -1 b))) (* r (sin b))) |
(log (/ (cos (- a (* -1 b))) (* r (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 r b) |
(/ (cos (+ a b)) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) |
(+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r))) |
(-.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (log.f64 r)) |
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b)))) |
(-.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (log.f64 r)) |
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) r)) (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) r (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(+ (* 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 r b)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 r b)) (*.f64 a a))) (*.f64 a a) (*.f64 r b)) |
(+ (* 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 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(/ (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) (* r (sin b))) |
(/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)) |
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b)))) |
(-.f64 (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)) (/.f64 a r)) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) r) (/.f64 a (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) a (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) r) (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 (/.f64 a r) #s(literal 1/6 binary64))) a (/.f64 #s(literal -1 binary64) r)) a (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) |
(log (/ (cos b) (* r (sin b)))) |
(log.f64 (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) |
(+ (log (/ (cos b) (* r (sin b)))) (* -1 (/ (* a (sin b)) (cos b)))) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b)) a (log.f64 (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)))) |
(+ (log (/ (cos b) (* r (sin b)))) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) a (log.f64 (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)))) |
(+ (log (/ (cos b) (* r (sin b)))) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) #s(literal -2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) a (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) a (log.f64 (/.f64 (/.f64 (cos.f64 b) r) (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 (* (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 b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(log (/ (cos (+ a b)) (* r (sin b)))) |
(log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(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))) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) |
(log (/ (cos (- b (* -1 a))) (* r (sin b)))) |
(log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* 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 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) b) b (*.f64 #s(literal -1/6 binary64) r)) (*.f64 r 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 (*.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 (fma.f64 #s(literal 1/24 binary64) (cos.f64 a) (fma.f64 #s(literal -1/120 binary64) (cos.f64 a) (*.f64 (cos.f64 a) #s(literal -1/18 binary64)))) (*.f64 b b) (*.f64 #s(literal -1/3 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
(/.f64 (fma.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)) (*.f64 b b) #s(literal 1 binary64)) b) |
(/ (cos a) (* b r)) |
(/.f64 (/.f64 (cos.f64 a) b) r) |
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/.f64 (fma.f64 (fma.f64 (*.f64 b (/.f64 (cos.f64 a) r)) #s(literal -1/3 binary64) (/.f64 (neg.f64 (sin.f64 a)) r)) b (/.f64 (cos.f64 a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 a) r) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/18 binary64)))) (*.f64 b b) (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 a) r))) b (/.f64 (neg.f64 (sin.f64 a)) r)) b (/.f64 (cos.f64 a) r)) b) |
(+ (log (/ (cos a) r)) (* -1 (log b))) |
(-.f64 (log.f64 (/.f64 (cos.f64 a) r)) (log.f64 b)) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* -1 (/ (* b (sin a)) (cos a))))) |
(-.f64 (log.f64 (/.f64 (cos.f64 a) r)) (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) b (log.f64 b))) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 a) r)) (/.f64 r (cos.f64 a)))) b (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a))) b (-.f64 (log.f64 (/.f64 (cos.f64 a) r)) (log.f64 b))) |
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (* 6 (/ (* r (* (sin a) (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r))))) (pow (cos a) 2)))))) (* 1/2 (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (fma.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 a) r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 a) r)) (/.f64 r (cos.f64 a))))) b (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a))) b (-.f64 (log.f64 (/.f64 (cos.f64 a) r)) (log.f64 b))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -1/3 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/45 (pow b 2)) 1/3)))) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/45 (* -1/315 (pow b 2)))) 1/3)))) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 b b) #s(literal 2/45 binary64)) (*.f64 b b) #s(literal -1/3 binary64)) (*.f64 b b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(+ (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)) |
(sin b) |
(sin.f64 b) |
(/ 1 (sin b)) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(pow (sin b) 2) |
(pow.f64 (sin.f64 b) #s(literal 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))) (* r (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) |
(log (/ (cos (- a (* -1 b))) (* r (sin b)))) |
(log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 183 |
| 0 | 74 | 196 |
| 1 | 233 | 172 |
| 2 | 1300 | 136 |
| 0 | 8782 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) |
(pow.f64 (sin.f64 b) #s(literal 2 binary64)) |
(cos.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 b))) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (sin.f64 b))) (/.f64 (sin.f64 b) (sqrt.f64 (sin.f64 b)))) |
(*.f64 (*.f64 (sin.f64 b) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (sin.f64 b) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 b) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 b) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) |
(/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 b)) |
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (sin.f64 b) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 b))) |
(sin.f64 b) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (log.f64 (sin.f64 b)))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sin.f64 b))))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64) (neg.f64 (log.f64 (sin.f64 b))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (sin.f64 b))) |
(+.f64 #s(literal 0 binary64) (sin.f64 b)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.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 a)) (sin.f64 b) (*.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 (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)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.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 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
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(exp.f64 (log.f64 (sin.f64 b))) |
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#s(approx (* (/ r (cos a)) b) (*.f64 r b)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) |
(/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (neg.f64 r))) |
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(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
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(fma.f64 (/.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (neg.f64 (sin.f64 a))) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.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 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (*.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 (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 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (neg.f64 (sin.f64 a)) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a))) (*.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 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (/.f64 (sin.f64 a) #s(literal -1 binary64)) (*.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)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.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 (sin.f64 a) (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (cos.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 (sin.f64 a) (*.f64 (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.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 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (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)) |
(exp.f64 (log.f64 (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 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
Compiled 22 246 to 3 084 computations (86.1% saved)
75 alts after pruning (71 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 774 | 41 | 815 |
| Fresh | 35 | 30 | 65 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 812 | 75 | 887 |
| Status | Accuracy | Program |
|---|---|---|
| 98.8% | (pow.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64)))) #s(literal -1 binary64)) | |
| 98.8% | (pow.f64 (fma.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64)))) #s(literal -1 binary64)) | |
| 50.5% | (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) | |
| 38.0% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 78.8% | (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) #s(literal -1 binary64)) | |
| 98.9% | (pow.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 r (sin.f64 b))) (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64))) #s(literal -1 binary64)) | |
| 57.6% | (pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)) #s(literal -1 binary64)) | |
| 58.3% | (pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) #s(literal -1 binary64)) | |
| 58.6% | (/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 55.8% | (/.f64 (*.f64 (sin.f64 b) (exp.f64 (log.f64 r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 85.2% | (/.f64 (*.f64 r (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 59.2% | (/.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)))) | |
| 79.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| ✓ | 58.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
| 59.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) | |
| 35.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) | |
| 35.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) | |
| 35.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| 38.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) | |
| 79.3% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 79.3% | (/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| 33.4% | (/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 34.7% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 35.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 56.3% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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)))) | |
| 55.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 43.4% | (/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 a) (sqrt.f64 (sin.f64 b))) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 99.5% | (/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 99.5% | (/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 58.6% | (/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) | |
| 99.5% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 37.7% | (/.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))) | |
| 99.4% | (/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) | |
| 33.8% | (/.f64 r (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))))) | |
| 79.3% | (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) | |
| ▶ | 56.1% | (/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
| 55.7% | (/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| 56.6% | (/.f64 r #s(approx (* (pow (sin b) -1) (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))) | |
| 58.8% | (/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) | |
| 55.8% | (/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) | |
| 56.4% | (/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) | |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) | |
| 58.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) | |
| 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)))) | |
| 79.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) | |
| 79.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 58.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) | |
| 79.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 58.6% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| 58.7% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| ▶ | 79.3% | (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
| 33.8% | (*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 37.4% | (*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 59.3% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) | |
| ▶ | 32.4% | (*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
| 47.9% | (exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) | |
| 55.8% | #s(approx (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) | |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 55.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 55.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| ✓ | 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 34.5% | #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)) | |
| 34.6% | #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)) | |
| 34.5% | #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)) | |
| 55.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) | |
| 27.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) | |
| ▶ | 27.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| ✓ | 35.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 2 938 to 2 262 computations (23% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 r) | |
| cost-diff | 192 | (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 256 | (*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| cost-diff | 12800 | (exp.f64 (log.f64 (sin.f64 b))) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) | |
| cost-diff | 0 | (neg.f64 r) | |
| cost-diff | 256 | (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) | |
| cost-diff | 0 | #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) | |
| cost-diff | 0 | #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) | |
| cost-diff | 0 | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 6336 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
Useful iterations: 14 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 301 |
| 0 | 79 | 295 |
| 1 | 128 | 293 |
| 2 | 207 | 287 |
| 3 | 341 | 287 |
| 4 | 785 | 287 |
| 5 | 1836 | 287 |
| 6 | 3292 | 287 |
| 7 | 4599 | 287 |
| 8 | 4900 | 287 |
| 9 | 5084 | 287 |
| 10 | 5317 | 287 |
| 11 | 5453 | 287 |
| 12 | 5516 | 287 |
| 13 | 5766 | 287 |
| 14 | 6269 | 284 |
| 15 | 6881 | 284 |
| 16 | 7776 | 284 |
| 0 | 8002 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b) |
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(*.f64 (*.f64 a a) r) |
(*.f64 a a) |
a |
r |
#s(literal 1/2 binary64) |
b |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
r |
(*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) |
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 b b) |
b |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(neg.f64 r) |
r |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
#s(literal -1 binary64) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(sin.f64 b) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(neg.f64 r) |
r |
(*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(exp.f64 (log.f64 (sin.f64 b))) |
(log.f64 (sin.f64 b)) |
(sin.f64 b) |
b |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)) b)) |
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b) |
(*.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)) b) |
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) |
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r) |
(*.f64 (*.f64 a a) r) |
(*.f64 a a) |
a |
r |
#s(literal 1/2 binary64) |
b |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) |
r |
(*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) |
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) |
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 b b) |
b |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 r) |
r |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(sin.f64 b) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 r) |
r |
(*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(exp.f64 (log.f64 (sin.f64 b))) |
(sin.f64 b) |
(log.f64 (sin.f64 b)) |
(sin.f64 b) |
b |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.18913960717424605 | (log.f64 (sin.f64 b)) | |
| accuracy | 1.596613222991888 | (exp.f64 (log.f64 (sin.f64 b))) | |
| accuracy | 6.2342499367247886 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.06640625 | (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| accuracy | 0.078125 | (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| accuracy | 6.2342499367247886 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.1328125 | (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 4.942607363617355 | (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) | |
| accuracy | 6.2342499367247886 | (cos.f64 (+.f64 a b)) | |
| accuracy | 11.109660839872303 | #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) | |
| accuracy | 0.04296875 | (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b) | |
| accuracy | 2.854616077407484 | (*.f64 (*.f64 a a) r) | |
| accuracy | 11.159161501417943 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) | |
| accuracy | 15.908696925544698 | #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) | |
| accuracy | 0.04363251953688403 | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) | |
| accuracy | 0.0546875 | (*.f64 (sin.f64 a) (sin.f64 b)) | |
| accuracy | 0.05859375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.08984375 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 188.0ms | 81× | 1 | valid |
| 58.0ms | 144× | 0 | invalid |
| 10.0ms | 31× | 0 | valid |
Compiled 546 to 91 computations (83.3% saved)
ival-pow: 94.0ms (41.4% of total)ival-mult: 47.0ms (20.7% of total)ival-sin: 19.0ms (8.4% of total)ival-add: 18.0ms (7.9% of total)ival-cos: 17.0ms (7.5% of total)ival-div: 13.0ms (5.7% of total)adjust: 5.0ms (2.2% of total)const: 4.0ms (1.8% of total)ival-exp: 3.0ms (1.3% of total)ival-log: 3.0ms (1.3% of total)ival-sub: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% 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)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b) |
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) |
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(neg.f64 r) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(exp.f64 (log.f64 (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (*.f64 a a) r) |
(cos.f64 (+.f64 a b)) |
(log.f64 (sin.f64 b)) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* r (+ 1 (* 1/2 (pow a 2)))) |
(* -1 r) |
(* (pow a 2) r) |
(* -1 (* r (- (* -1/2 (pow a 2)) 1))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(/ (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 (/ (sin b) (cos b))) |
(+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))))))))))) |
(* 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 a) (cos b)) (* (sin a) (sin b))) |
(* 1/2 (* (pow a 2) r)) |
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2)))) |
(/ (cos (+ a b)) (sin b)) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(* (sin a) (sin b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(cos (- b (* -1 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ 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)))) |
(/ (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) |
(/ 1 b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
1 |
(+ 1 (* 1/6 (pow b 2))) |
(* -1 (/ b (cos a))) |
(* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(* b (- (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (- (* b (+ (* -1 (/ (sin a) (pow (cos a) 2))) (* b (+ (* -1 (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2)))))))))) (/ 1 (cos 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)))))))) |
(log b) |
(+ (log b) (* -1/6 (pow b 2))) |
(+ (log b) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6))) |
(+ (log b) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6))) |
(sin b) |
(/ 1 (sin b)) |
(* 1/6 b) |
(* b (+ 1/6 (/ 1 (pow b 2)))) |
(* 1/6 (pow b 2)) |
(* (pow b 2) (+ 1/6 (/ 1 (pow b 2)))) |
(log (sin b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 75.0ms | b | @ | -inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (pow (sin b) -1) (cos (+ a b))) (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) (/ -1 (/ (cos (+ a b)) (sin b))) (* (neg r) (/ -1 (/ (cos (+ a b)) (sin b)))) (neg r) (/ (cos (+ a b)) (sin b)) (exp (log (sin b))) (* (neg r) (* (exp (log (sin b))) (/ -1 (cos (+ a b))))) (* (exp (log (sin b))) (/ -1 (cos (+ a b)))) (* (sin a) (sin b)) (* (* a a) r) (cos (+ a b)) (log (sin b))) |
| 36.0ms | b | @ | inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (pow (sin b) -1) (cos (+ a b))) (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) (/ -1 (/ (cos (+ a b)) (sin b))) (* (neg r) (/ -1 (/ (cos (+ a b)) (sin b)))) (neg r) (/ (cos (+ a b)) (sin b)) (exp (log (sin b))) (* (neg r) (* (exp (log (sin b))) (/ -1 (cos (+ a b))))) (* (exp (log (sin b))) (/ -1 (cos (+ a b)))) (* (sin a) (sin b)) (* (* a a) r) (cos (+ a b)) (log (sin b))) |
| 9.0ms | r | @ | inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (pow (sin b) -1) (cos (+ a b))) (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) (/ -1 (/ (cos (+ a b)) (sin b))) (* (neg r) (/ -1 (/ (cos (+ a b)) (sin b)))) (neg r) (/ (cos (+ a b)) (sin b)) (exp (log (sin b))) (* (neg r) (* (exp (log (sin b))) (/ -1 (cos (+ a b))))) (* (exp (log (sin b))) (/ -1 (cos (+ a b)))) (* (sin a) (sin b)) (* (* a a) r) (cos (+ a b)) (log (sin b))) |
| 5.0ms | r | @ | -inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (pow (sin b) -1) (cos (+ a b))) (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) (/ -1 (/ (cos (+ a b)) (sin b))) (* (neg r) (/ -1 (/ (cos (+ a b)) (sin b)))) (neg r) (/ (cos (+ a b)) (sin b)) (exp (log (sin b))) (* (neg r) (* (exp (log (sin b))) (/ -1 (cos (+ a b))))) (* (exp (log (sin b))) (/ -1 (cos (+ a b)))) (* (sin a) (sin b)) (* (* a a) r) (cos (+ a b)) (log (sin b))) |
| 5.0ms | b | @ | 0 | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (pow (sin b) -1) (cos (+ a b))) (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) (/ -1 (/ (cos (+ a b)) (sin b))) (* (neg r) (/ -1 (/ (cos (+ a b)) (sin b)))) (neg r) (/ (cos (+ a b)) (sin b)) (exp (log (sin b))) (* (neg r) (* (exp (log (sin b))) (/ -1 (cos (+ a b))))) (* (exp (log (sin b))) (/ -1 (cos (+ a b)))) (* (sin a) (sin b)) (* (* a a) r) (cos (+ a b)) (log (sin b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 424 | 1569 |
| 1 | 1329 | 1467 |
| 2 | 4191 | 1441 |
| 0 | 8422 | 1345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* r (+ 1 (* 1/2 (pow a 2)))) |
(* -1 r) |
(* (pow a 2) r) |
(* -1 (* r (- (* -1/2 (pow a 2)) 1))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(/ (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 (/ (sin b) (cos b))) |
(+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))))))))))) |
(* 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 a) (cos b)) (* (sin a) (sin b))) |
(* 1/2 (* (pow a 2) r)) |
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2)))) |
(/ (cos (+ a b)) (sin b)) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(* (sin a) (sin b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) (sin b)) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(cos (- b (* -1 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ 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)))) |
(/ (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) |
(/ 1 b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
1 |
(+ 1 (* 1/6 (pow b 2))) |
(* -1 (/ b (cos a))) |
(* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(* b (- (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (- (* b (+ (* -1 (/ (sin a) (pow (cos a) 2))) (* b (+ (* -1 (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2)))))))))) (/ 1 (cos 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)))))))) |
(log b) |
(+ (log b) (* -1/6 (pow b 2))) |
(+ (log b) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6))) |
(+ (log b) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6))) |
(sin b) |
(/ 1 (sin b)) |
(* 1/6 b) |
(* b (+ 1/6 (/ 1 (pow b 2)))) |
(* 1/6 (pow b 2)) |
(* (pow b 2) (+ 1/6 (/ 1 (pow b 2)))) |
(log (sin b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) (sin b)) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(* r (+ 1 (* 1/2 (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) |
(* -1 r) |
(neg.f64 r) |
(* (pow a 2) r) |
(*.f64 (*.f64 a a) r) |
(* -1 (* r (- (* -1/2 (pow a 2)) 1))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b))))) a)) a)) |
(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 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)) |
(* b r) |
(*.f64 b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 (*.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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 a a) r) b) #s(literal 5/24 binary64))) 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 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.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))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 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 (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) r)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
(/ (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 (/ (sin b) (cos b))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b)) |
(+ (* -1 (/ (sin b) (cos b))) (* -1 (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))) |
(neg.f64 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) |
(+ (* -1 (/ (sin b) (cos b))) (* a (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (+ (* -1/2 (/ (sin b) (cos b))) (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))))))))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) a) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 (sin.f64 b) a)) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(* 1/2 (* (pow a 2) r)) |
(*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)) |
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a) |
(/ (cos (+ a b)) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.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))) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (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 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #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 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #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 (*.f64 b b) #s(literal -1/5040 binary64) #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 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)) |
(/ (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 (fma.f64 #s(literal 1/24 binary64) (cos.f64 a) (fma.f64 #s(literal -1/120 binary64) (cos.f64 a) (*.f64 (cos.f64 a) #s(literal -1/18 binary64)))) (*.f64 b b) (*.f64 #s(literal -1/3 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
(/.f64 (fma.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)) (*.f64 b b) #s(literal 1 binary64)) b) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* -1 (/ b (cos a))) |
(/.f64 (neg.f64 b) (cos.f64 a)) |
(* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b) |
(* b (- (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal -1 binary64) (cos.f64 a))) b) |
(* b (- (* b (+ (* -1 (/ (sin a) (pow (cos a) 2))) (* b (+ (* -1 (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2)))))))))) (/ 1 (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (sin.f64 a) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (+.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal -1 binary64) (cos.f64 a))) b) |
(* b (sin a)) |
(*.f64 (sin.f64 a) b) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #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 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a) (*.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))))) b) |
(log b) |
(log.f64 b) |
(+ (log b) (* -1/6 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) (log.f64 b)) |
(+ (log b) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) b (log.f64 b)) |
(+ (log b) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 b b) #s(literal -1/180 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) b (log.f64 b)) |
(sin b) |
(sin.f64 b) |
(/ 1 (sin b)) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(* 1/6 b) |
(*.f64 #s(literal 1/6 binary64) b) |
(* b (+ 1/6 (/ 1 (pow b 2)))) |
(fma.f64 #s(literal 1/6 binary64) b (/.f64 b (*.f64 b b))) |
(* 1/6 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/6 binary64)) |
(* (pow b 2) (+ 1/6 (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(log (sin b)) |
(log.f64 (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))) (sin b)) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 215 |
| 0 | 77 | 189 |
| 1 | 232 | 187 |
| 2 | 1310 | 187 |
| 0 | 8403 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b) |
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) |
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(neg.f64 r) |
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) |
(exp.f64 (log.f64 (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (*.f64 a a) r) |
(cos.f64 (+.f64 a b)) |
(log.f64 (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) #s(literal -1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 r) (*.f64 (cos.f64 (+.f64 a b)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 r) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 (neg.f64 r)) #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 r) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 r) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (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 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 r)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 r)) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 r)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 r) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) #s(literal -1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) r) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (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) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 r))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (neg.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.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) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #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 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (sin.f64 b)) r)) |
(*.f64 (neg.f64 r) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (neg.f64 r)) |
(*.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (neg.f64 r))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 r))) |
(*.f64 r (neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (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)))))))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (neg.f64 r)) (cos.f64 (+.f64 a b)))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 r))) (/.f64 (cos.f64 (+.f64 a b)) (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 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) #s(literal 1 binary64))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (neg.f64 (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) #s(literal -1 binary64))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 r)))) (/.f64 (cos.f64 (+.f64 a b)) (sin.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 (sin.f64 a) (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)) (sin.f64 a)) (sin.f64 b)))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 4 binary64))) |
(/.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)))) |
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(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.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))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 1/2 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (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 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -1/2 binary64) (*.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 b)) (sin.f64 a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(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 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.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 b)) (sin.f64 a)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (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 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(log.f64 (sin.f64 b)) |
Compiled 22 344 to 3 111 computations (86.1% saved)
80 alts after pruning (71 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 768 | 12 | 780 |
| Fresh | 7 | 59 | 66 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 775 | 80 | 855 |
| Status | Accuracy | Program |
|---|---|---|
| 98.8% | (pow.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64)))) #s(literal -1 binary64)) | |
| 98.8% | (pow.f64 (fma.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64)))) #s(literal -1 binary64)) | |
| 38.0% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| 78.8% | (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) #s(literal -1 binary64)) | |
| 98.9% | (pow.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 r (sin.f64 b))) (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64))) #s(literal -1 binary64)) | |
| 57.6% | (pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)) #s(literal -1 binary64)) | |
| 58.3% | (pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) #s(literal -1 binary64)) | |
| 58.6% | (/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 55.8% | (/.f64 (*.f64 (sin.f64 b) (exp.f64 (log.f64 r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 85.2% | (/.f64 (*.f64 r (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 59.2% | (/.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)))) | |
| 79.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 59.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) | |
| ✓ | 58.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
| 35.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) | |
| 35.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) | |
| 35.5% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| 38.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) | |
| 79.3% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 79.3% | (/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| 33.4% | (/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 34.7% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 35.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 56.3% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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)))) | |
| 55.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 43.4% | (/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 a) (sqrt.f64 (sin.f64 b))) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 99.5% | (/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 99.5% | (/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 58.6% | (/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) | |
| 99.5% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 37.7% | (/.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))) | |
| 99.4% | (/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) | |
| 33.8% | (/.f64 r (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))))) | |
| 79.3% | (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) | |
| ✓ | 56.1% | (/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
| 3.9% | (/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) | |
| 55.7% | (/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 4.2% | (/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) | |
| 56.6% | (/.f64 r #s(approx (* (pow (sin b) -1) (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))) | |
| 58.8% | (/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) | |
| 55.8% | (/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) | |
| 56.4% | (/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) | |
| 78.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) | |
| 58.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) | |
| 79.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 58.7% | (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) | |
| 79.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 53.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 79.4% | (*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 58.6% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| 58.7% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| ✓ | 79.3% | (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
| 99.4% | (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))) | |
| 33.8% | (*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 37.4% | (*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 59.3% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) | |
| ✓ | 32.4% | (*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
| 47.9% | (exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) | |
| 55.8% | #s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.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)) | |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 55.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| ✓ | 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 34.5% | #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)) | |
| 34.6% | #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)) | |
| 34.5% | #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)) | |
| 55.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) | |
| 27.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) | |
| ✓ | 27.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
| 27.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) b)) | |
| 23.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) | |
| 13.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) | |
| 14.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) | |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| 55.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| ✓ | 35.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 4 913 to 1 909 computations (61.1% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#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 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.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 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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (neg.f64 (*.f64 r r)))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) #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 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) #s(literal -1 binary64)) |
(*.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 r #s(approx (* (pow (sin b) -1) (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))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)) #s(literal -1 binary64)) |
(/.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 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))) |
(/.f64 r (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (exp.f64 (log.f64 r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) |
(/.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.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)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a 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 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.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)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #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)))) |
(pow.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 r (sin.f64 b))) (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (fma.f64 (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) a (/.f64 #s(literal -1 binary64) (cos.f64 b)))))) |
(pow.f64 (fma.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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 (cos.f64 b) (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 a) (sqrt.f64 (sin.f64 b))) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
(*.f64 (neg.f64 r) #s(approx (* (sin b) (/ -1 (cos (+ a b)))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (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)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 r) (*.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 #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 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 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 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (-.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 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) r) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
4 calls:
| 43.0ms | r |
| 41.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 40.0ms | b |
| 38.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | r |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 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))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#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 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.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 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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (neg.f64 (*.f64 r r)))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) #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 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) #s(literal -1 binary64)) |
(*.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 r #s(approx (* (pow (sin b) -1) (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))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)) #s(literal -1 binary64)) |
(/.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 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))) |
(/.f64 r (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (exp.f64 (log.f64 r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) |
(/.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.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)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a 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 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.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)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #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)))) |
(pow.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 r (sin.f64 b))) (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (fma.f64 (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) a (/.f64 #s(literal -1 binary64) (cos.f64 b)))))) |
(pow.f64 (fma.f64 (/.f64 (cos.f64 b) r) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (/.f64 (cos.f64 a) r) (neg.f64 (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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 (cos.f64 b) (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 a) (sqrt.f64 (sin.f64 b))) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) |
(*.f64 (neg.f64 r) #s(approx (* (sin b) (/ -1 (cos (+ a b)))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
4 calls:
| 71.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 46.0ms | a |
| 45.0ms | b |
| 41.0ms | r |
| 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))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#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 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.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 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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (neg.f64 (*.f64 r r)))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) #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 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) #s(literal -1 binary64)) |
(*.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 r #s(approx (* (pow (sin b) -1) (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))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)) #s(literal -1 binary64)) |
(/.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 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))) |
(/.f64 r (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (exp.f64 (log.f64 r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) |
(/.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.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)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a 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 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.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)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #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)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
4 calls:
| 120.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 56.0ms | a |
| 31.0ms | r |
| 31.0ms | b |
| 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))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#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 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.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 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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (neg.f64 (*.f64 r r)))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) #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 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) #s(literal -1 binary64)) |
(*.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 r #s(approx (* (pow (sin b) -1) (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))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)) #s(literal -1 binary64)) |
(/.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 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))) |
(/.f64 r (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (exp.f64 (log.f64 r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) |
(/.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.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)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a 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 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.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)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
4 calls:
| 78.0ms | r |
| 61.0ms | b |
| 31.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 30.0ms | 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))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#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 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.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 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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (neg.f64 (*.f64 r r)))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) #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 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) #s(literal -1 binary64)) |
(*.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 r #s(approx (* (pow (sin b) -1) (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))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)) #s(literal -1 binary64)) |
(/.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 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))) |
(/.f64 r (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (exp.f64 (log.f64 r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) |
(/.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.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)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a 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 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 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) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
4 calls:
| 64.0ms | a |
| 62.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 28.0ms | r |
| 28.0ms | b |
| 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))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#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 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.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 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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (neg.f64 (*.f64 r r)))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))) #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 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) #s(literal -1 binary64)) |
(*.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 r #s(approx (* (pow (sin b) -1) (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))) |
(pow.f64 #s(approx (exp (log (/ (cos (+ a b)) (* (sin b) r)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)) #s(literal -1 binary64)) |
(/.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 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))) |
(/.f64 r (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (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 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (exp.f64 (log.f64 r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))) |
(/.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (*.f64 (exp.f64 (log.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 (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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (+ (* (/ (neg (pow (sin b) 2)) (neg (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (*.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)) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.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)) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
4 calls:
| 103.0ms | a |
| 75.0ms | b |
| 42.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 28.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 1 | a |
| 79.4% | 1 | b |
| 79.4% | 1 | r |
| 79.4% | 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))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#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 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
4 calls:
| 34.0ms | r |
| 15.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 11.0ms | a |
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.8% | 2 | r |
| 79.3% | 3 | b |
| 79.2% | 3 | a |
| 65.5% | 3 | (/.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))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (*.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)))))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
| Outputs |
|---|
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
4 calls:
| 18.0ms | a |
| 9.0ms | b |
| 9.0ms | r |
| 9.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 1 | r |
| 56.1% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 56.1% | 1 | a |
| 57.9% | 2 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 r #s(approx (* (pow (sin b) -1) (cos (+ a b))) (/.f64 (cos.f64 a) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) |
(/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 #s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
4 calls:
| 5.0ms | r |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 1 | r |
| 55.9% | 1 | a |
| 55.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 55.9% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
4 calls:
| 5.0ms | a |
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 4.0ms | r |
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 1 | a |
| 55.9% | 1 | r |
| 55.9% | 1 | b |
| 55.9% | 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))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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 r (/.f64 b (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
4 calls:
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 1 | a |
| 55.9% | 1 | r |
| 55.9% | 1 | b |
| 55.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
Total -17.1b remaining (-41.3%)
Threshold costs -17.1b (-41.3%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) 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 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)))) 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:
| 3.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 3.0ms | a |
| 3.0ms | r |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.3% | 1 | a |
| 35.3% | 1 | r |
| 35.3% | 1 | b |
| 35.3% | 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 |
|---|---|---|
| 19.0ms | 0.00012394510315107113 | 0.5256759697925605 |
| 23.0ms | -693.3297391821444 | -1.4956674923002193e-10 |
| 20.0ms | 148× | 1 | valid |
| 10.0ms | 140× | 0 | valid |
Compiled 768 to 572 computations (25.5% saved)
ival-cos: 7.0ms (35.8% of total)adjust: 3.0ms (15.3% of total)ival-sin: 3.0ms (15.3% of total)ival-add: 2.0ms (10.2% of total)ival-div: 2.0ms (10.2% of total)ival-mult: 2.0ms (10.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 3.586506191548912e+27 | 7.463485768170855e+28 |
| 19.0ms | 106× | 1 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 306 to 259 computations (15.4% saved)
ival-sin: 5.0ms (32.7% of total)ival-cos: 5.0ms (32.7% of total)adjust: 2.0ms (13.1% of total)ival-add: 1.0ms (6.5% of total)ival-div: 1.0ms (6.5% of total)ival-mult: 1.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.586506191548912e+27 | 7.463485768170855e+28 |
| 14.0ms | 74× | 1 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 278 to 231 computations (16.9% saved)
ival-cos: 5.0ms (43.9% of total)ival-sin: 3.0ms (26.3% of total)ival-add: 1.0ms (8.8% of total)ival-div: 1.0ms (8.8% of total)adjust: 1.0ms (8.8% of total)ival-mult: 1.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 313 |
| 1 | 142 | 313 |
| 2 | 174 | 311 |
| 3 | 203 | 311 |
| 4 | 263 | 311 |
| 5 | 349 | 311 |
| 6 | 470 | 311 |
| 7 | 610 | 311 |
| 8 | 760 | 311 |
| 9 | 916 | 311 |
| 10 | 1055 | 311 |
| 11 | 1167 | 311 |
| 12 | 1262 | 311 |
| 13 | 1329 | 311 |
| 14 | 1371 | 311 |
| 15 | 1404 | 311 |
| 16 | 1430 | 311 |
| 17 | 1441 | 311 |
| 18 | 1443 | 311 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.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) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -7926335344172073/288230376151711744 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3242591731706757/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal 4999999999999999791559868416 binary64)) (/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) |
(if (<=.f64 b #s(literal 11199999999999999709015965696 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -7926335344172073/288230376151711744 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3242591731706757/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal 4999999999999999791559868416 binary64)) (/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) |
(if (<=.f64 b #s(literal 4999999999999999791559868416 binary64)) (/.f64 r (*.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) |
(if (<=.f64 b #s(literal 11199999999999999709015965696 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) |
(if (<=.f64 b #s(literal 11199999999999999709015965696 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#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 | 167 | 593 |
| 1 | 517 | 561 |
| 2 | 1600 | 519 |
| 3 | 5430 | 518 |
| 0 | 8316 | 486 |
| 0 | 42 | 205 |
| 0 | 76 | 213 |
| 1 | 248 | 176 |
| 2 | 1560 | 176 |
| 0 | 8506 | 176 |
| 0 | 437 | 1626 |
| 1 | 1290 | 1543 |
| 2 | 3998 | 1512 |
| 0 | 8699 | 1413 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 0 | 47 | 183 |
| 0 | 74 | 196 |
| 1 | 233 | 172 |
| 2 | 1300 | 136 |
| 0 | 8782 | 136 |
| 0 | 523 | 2196 |
| 1 | 1655 | 2057 |
| 2 | 5462 | 2022 |
| 0 | 8491 | 1888 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 790 to 433 computations (45.2% saved)
(negabs r)
Compiled 934 to 408 computations (56.3% saved)
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