
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.5s | 5 853× | 1 | valid |
| 183.0ms | 2 403× | 0 | valid |
ival-add: 546.0ms (39.3% of total)ival-cos: 283.0ms (20.4% of total)ival-sin: 202.0ms (14.5% of total)adjust: 192.0ms (13.8% of total)ival-div: 95.0ms (6.8% of total)ival-mult: 62.0ms (4.5% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 71 | 131 | (-1.943801907727607e-173 2.244723821682225e+157 1.20616644357742e-52) | 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 | 202 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 0 |
| - | 131 | 54 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 0 |
| - | 131 | 1 | 53 |
| number | freq |
|---|---|
| 0 | 54 |
| 1 | 202 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 384× | 1 | valid |
| 10.0ms | 128× | 0 | valid |
Compiled 88 to 36 computations (59.1% saved)
ival-cos: 17.0ms (32.5% of total)ival-sin: 12.0ms (22.9% of total)adjust: 7.0ms (13.4% of total)ival-div: 6.0ms (11.5% of total)ival-add: 5.0ms (9.5% of total)ival-mult: 4.0ms (7.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 193 | 84 |
| 3 | 479 | 84 |
| 4 | 1411 | 84 |
| 5 | 2370 | 84 |
| 6 | 2996 | 84 |
| 7 | 3376 | 84 |
| 8 | 3569 | 84 |
| 9 | 3790 | 84 |
| 10 | 4094 | 84 |
| 11 | 4100 | 84 |
| 12 | 4100 | 84 |
| 13 | 4108 | 84 |
| 14 | 4128 | 84 |
| 15 | 4136 | 84 |
| 16 | 4136 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 20 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.4% | (/.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 | 0.0 | (sin.f64 b) | |
| accuracy | 0.140625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.24609375 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 15.697600517893363 | (cos.f64 (+.f64 a b)) |
| 41.0ms | 192× | 1 | valid |
| 5.0ms | 64× | 0 | valid |
Compiled 52 to 18 computations (65.4% saved)
ival-cos: 8.0ms (31.6% of total)ival-sin: 7.0ms (27.7% of total)adjust: 3.0ms (11.9% of total)ival-add: 2.0ms (7.9% of total)ival-div: 2.0ms (7.9% of total)ival-mult: 2.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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 | |
|---|---|---|---|---|
| 33.0ms | r | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | 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 | 1610 | 519 |
| 3 | 5575 | 500 |
| 0 | 8699 | 472 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(*.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r) a (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (fma.f64 (neg.f64 a) #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (fma.f64 r (-.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a) a (*.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) b (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b r) |
(*.f64 b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 r (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2062 | 19 |
| 0 | 8507 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) |
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) |
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) |
(*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) |
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) |
(sin.f64 b) |
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b))) |
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(cos.f64 (+.f64 a b)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
Compiled 3 275 to 553 computations (83.1% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 34 | 165 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 132 | 34 | 166 |
| Status | Accuracy | Program |
|---|---|---|
| 38.6% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 32.4% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 75.0% | (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 76.5% | (/.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))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (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))))))) | |
| 75.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) | |
| 75.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 75.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| ▶ | 37.2% | (/.f64 (*.f64 r (sin.f64 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)))))) |
| 46.0% | (/.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)))) | |
| 56.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) | |
| 47.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 57.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 60.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 49.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 44.9% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) | |
| 44.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) | |
| 45.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 75.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 75.0% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 75.0% | (*.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)))) | |
| ▶ | 75.3% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 75.2% | (*.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))) | |
| 76.4% | (*.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)))) | |
| 75.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 75.4% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 75.3% | (*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| ▶ | 75.3% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
| 32.4% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 60.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) | |
| ▶ | 45.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
Compiled 1 218 to 890 computations (26.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (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)))))) | |
| cost-diff | 128 | (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))))) | |
| cost-diff | 0 | (neg.f64 r) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 128 | (/.f64 #s(literal -1 binary64) (neg.f64 r)) | |
| cost-diff | 7168 | (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #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 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 274 |
| 0 | 75 | 267 |
| 1 | 127 | 261 |
| 2 | 237 | 257 |
| 3 | 498 | 257 |
| 4 | 1279 | 257 |
| 5 | 2817 | 257 |
| 6 | 4711 | 257 |
| 7 | 5730 | 257 |
| 8 | 6357 | 257 |
| 9 | 6796 | 257 |
| 10 | 7222 | 257 |
| 11 | 7398 | 257 |
| 12 | 7934 | 257 |
| 0 | 8046 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 r)) |
#s(literal -1 binary64) |
(neg.f64 r) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (*.f64 r (sin.f64 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)))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
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))))) |
(/.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)))) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 a #s(literal 3 binary64)) |
a |
(neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(fma.f64 (-.f64 b a) b (*.f64 a a)) |
(-.f64 b a) |
(*.f64 a a) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (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 r)) #s(literal -1 binary64)) |
r |
(/.f64 #s(literal -1 binary64) (neg.f64 r)) |
(/.f64 #s(literal 1 binary64) r) |
#s(literal -1 binary64) |
(neg.f64 r) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (*.f64 r (sin.f64 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)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
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 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(/.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)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 a #s(literal 3 binary64)) |
a |
(neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(fma.f64 (-.f64 b a) b (*.f64 a a)) |
(-.f64 b a) |
(*.f64 a a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24609375 | (/.f64 (*.f64 r (sin.f64 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)))))) | |
| accuracy | 2.945298050811441 | (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) | |
| accuracy | 15.697600517893363 | (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))))) | |
| accuracy | 37.055516449301955 | (/.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)))) | |
| accuracy | 0.15462875976844204 | (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) | |
| accuracy | 0.18359375 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.22265625 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 15.697600517893363 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| accuracy | 0.1875 | (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.26953125 | (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| accuracy | 15.697600517893363 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.0 | (cos.f64 a) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| accuracy | 0.17578125 | (/.f64 r (cos.f64 a)) | |
| accuracy | 34.84375708173976 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| accuracy | 0.11977257069442183 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| accuracy | 0.140625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.19140625 | (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) | |
| accuracy | 0.24609375 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 214.0ms | 198× | 1 | valid |
| 22.0ms | 58× | 0 | valid |
Compiled 550 to 83 computations (84.9% saved)
ival-mult: 65.0ms (32.4% of total)ival-cos: 39.0ms (19.4% of total)ival-pow: 27.0ms (13.5% of total)ival-sin: 21.0ms (10.5% of total)ival-div: 19.0ms (9.5% of total)adjust: 15.0ms (7.5% of total)ival-add: 8.0ms (4% of total)ival-neg: 4.0ms (2% of total)ival-sub: 2.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 r)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 r)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.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))))) |
(/.f64 (*.f64 r (sin.f64 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)))))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.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)))) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(* -1 r) |
r |
(/ 1 r) |
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) |
(/ (* 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 (* 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 (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(+ (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 (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))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(pow b 3) |
(+ (pow a 3) (pow b 3)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) |
(* -1 (* (sin a) (sin b))) |
(cos (+ a b)) |
(/ -1 (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(* -1 a) |
(* a (- (* -1 (/ b a)) 1)) |
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1)) |
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1)) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))) |
(cos (- b (* -1 a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a))))) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(* 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)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ -1 (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))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(sin b) |
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))) |
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b)))) |
(* b (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) |
(cos (- a (* -1 b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b))))) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | b | @ | 0 | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3))) |
| 23.0ms | r | @ | inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3))) |
| 11.0ms | a | @ | inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3))) |
| 10.0ms | r | @ | -inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3))) |
| 9.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (* (sin b) (/ -1 (cos (+ a b)))) (neg r) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 678 | 2925 |
| 1 | 2187 | 2637 |
| 2 | 7642 | 2573 |
| 0 | 8375 | 2453 |
| 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 |
(/ 1 r) |
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) |
(/ (* 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 (* 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 (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(+ (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 (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))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(pow b 3) |
(+ (pow a 3) (pow b 3)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) |
(* -1 (* (sin a) (sin b))) |
(cos (+ a b)) |
(/ -1 (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(* -1 a) |
(* a (- (* -1 (/ b a)) 1)) |
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1)) |
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1)) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))) |
(cos (- b (* -1 a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a))))) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(* 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)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ -1 (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))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(sin b) |
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))) |
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b)))) |
(* b (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) |
(cos (- a (* -1 b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b))))) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(* -1 r) |
(neg.f64 r) |
r |
(/ 1 r) |
(/.f64 #s(literal 1 binary64) r) |
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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))))) |
(/ (* 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))) |
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(cos b) |
(cos.f64 b) |
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(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
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(* b r) |
(*.f64 b r) |
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(+ r (* 1/2 (* (pow a 2) r))) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
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(* -1 (/ (sin b) (cos b))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b)) |
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(cos (* -1 b)) |
(cos.f64 b) |
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(/ (* r (sin b)) (cos (* -1 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
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(* -1 (* a (sin b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 3 binary64)))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
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(+ (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)) |
(/ -1 (cos b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 b))) a (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
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(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
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(fma.f64 (fma.f64 (neg.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 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(* -1 b) |
(neg.f64 b) |
(+ (* -1 a) (* -1 b)) |
(-.f64 (neg.f64 a) b) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(+ (pow a 3) (pow b 3)) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos a) |
(cos.f64 a) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) |
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(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
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(* -1 a) |
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(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) |
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(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
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(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))) |
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(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))) |
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(cos (- b (* -1 a))) |
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(/ (sin b) (cos (- b (* -1 a)))) |
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(* -1 (* a (+ 1 (/ b a)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 b (/.f64 #s(literal 0 binary64) a)) a) a a)) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 0 binary64)) a) b)) a)) (neg.f64 a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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))))))) 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 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (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)) (pow.f64 b #s(literal 3 binary64)) b) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos 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 (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (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)) |
(* -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 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (neg.f64 b) (/.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 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.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 (neg.f64 (sin.f64 a)) (/.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)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (neg.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) |
(cos (* -1 a)) |
(cos.f64 a) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (neg.f64 (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ (* b r) (cos (* -1 a))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 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) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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)))) (neg.f64 b) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (pow.f64 b #s(literal 3 binary64)) (*.f64 (neg.f64 (sin.f64 a)) b)) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(fma.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))) (*.f64 b b) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (pow.f64 b #s(literal 3 binary64)) (*.f64 (neg.f64 (sin.f64 a)) b)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (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)) |
(/ -1 (cos a)) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (neg.f64 b) (/.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))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.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)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(sin b) |
(sin.f64 b) |
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))) |
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 b a) (*.f64 (neg.f64 b) b)))) |
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 b a) (*.f64 (neg.f64 b) b))))) |
(* b (- (* -1 (/ a b)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) |
(* b (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) a) b) #s(literal 1 binary64)) b) |
(* b (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/ (* 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 (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
(cos.f64 (/.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)))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(* -1 (* b (+ 1 (/ a b)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 a (/.f64 #s(literal 0 binary64) b)) b) b b)) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) #s(literal 0 binary64)) b) a)) b)) (neg.f64 b)) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (neg.f64 (pow.f64 b #s(literal 3 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 196 |
| 0 | 75 | 195 |
| 1 | 258 | 126 |
| 2 | 1623 | 126 |
| 0 | 8366 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 r)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 r)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.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))))) |
(/.f64 (*.f64 r (sin.f64 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)))))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.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)))) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
| Outputs |
|---|
(*.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 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 r) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) r) |
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.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 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 r)) |
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.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 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) r) |
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #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 (*.f64 (sin.f64 b) r) #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))) (pow.f64 r #s(literal 1/2 binary64))) (pow.f64 r #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #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 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64))))) |
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (neg.f64 r)) |
(*.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 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.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))) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (/.f64 (neg.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 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r)) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 r))) |
(*.f64 r (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.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 (sin.f64 b)) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #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)))) |
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b)))) (neg.f64 (*.f64 (pow.f64 r #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
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(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (pow.f64 r #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
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(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
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(sin.f64 b) |
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(neg.f64 (+.f64 a b)) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 a b)) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.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)))) (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.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))))) |
(-.f64 #s(literal 0 binary64) (+.f64 a b)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a (+.f64 a b) (*.f64 b b))) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a))) |
(*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal 1 binary64)) (+.f64 a b)) |
(*.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(*.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (neg.f64 (+.f64 a b))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))))) |
(*.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (+.f64 a b)) |
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) |
(*.f64 (+.f64 a b) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(pow.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b)))) (*.f64 (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))) (*.f64 (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) (-.f64 (*.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b)) (*.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b) (-.f64 (*.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a)) (*.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) |
(/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))) (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b)) |
(fma.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a)) |
(fma.f64 (*.f64 b b) b (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (*.f64 a a) a (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(fma.f64 a (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(fma.f64 b (*.f64 b b) (pow.f64 a #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
(+.f64 (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(+.f64 (*.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))) (*.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(+.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b)) |
(+.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a)) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
Compiled 20 146 to 2 744 computations (86.4% saved)
77 alts after pruning (76 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 709 | 64 | 773 |
| Fresh | 17 | 12 | 29 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 730 | 77 | 807 |
| Status | Accuracy | Program |
|---|---|---|
| 38.6% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 32.4% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 98.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 99.0% | (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 75.3% | (/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 52.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))) | |
| 61.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))) | |
| 75.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) | |
| 39.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| 30.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| ▶ | 39.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
| 37.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| 28.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| 68.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))))) | |
| 41.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (neg.f64 (+.f64 a b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| 35.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))) | |
| 19.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64))))) | |
| 38.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)))) | |
| 62.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a)))) | |
| 62.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)))) | |
| 47.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) | |
| 57.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 60.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) | |
| 49.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a))) | |
| 46.0% | (/.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)))) | |
| 44.9% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b))) | |
| 99.4% | (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 75.3% | (/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r)) | |
| 44.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| ▶ | 45.1% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 45.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 75.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.0% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 75.1% | (*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 70.3% | (*.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 r))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 70.2% | (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 98.8% | (*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| 75.1% | (*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 99.1% | (*.f64 (/.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| 29.2% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 r) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) (neg.f64 r))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) | |
| 75.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 75.3% | (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) | |
| 75.3% | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 75.4% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 29.1% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 52.2% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) r))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 75.3% | (*.f64 (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) | |
| 75.3% | (*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)))) | |
| 60.1% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) | |
| ▶ | 49.8% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
| 70.3% | (*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 32.4% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 60.2% | #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 45.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 45.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 45.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) | |
| 45.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| 28.9% | #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)) | |
| 28.8% | #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)) | |
| 28.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| 45.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) | |
| 45.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) | |
| 22.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b)) | |
| 23.6% | #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)) | |
| 45.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| ▶ | 29.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 3 580 to 2 410 computations (32.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) r) | |
| cost-diff | 0 | #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| cost-diff | 128 | (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) | |
| cost-diff | 14528 | (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) | |
| cost-diff | 0 | (neg.f64 r) | |
| cost-diff | 0 | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) | |
| cost-diff | 0 | (*.f64 b r) | |
| cost-diff | 0 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 363 |
| 0 | 85 | 363 |
| 1 | 146 | 361 |
| 2 | 282 | 312 |
| 3 | 658 | 304 |
| 4 | 1708 | 304 |
| 5 | 3599 | 299 |
| 0 | 8692 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(neg.f64 r) |
r |
(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(sin.f64 b) |
b |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
#s(literal -1 binary64) |
(cos.f64 a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) |
(fma.f64 (-.f64 b a) b (*.f64 a a)) |
(-.f64 b a) |
a |
(*.f64 a a) |
(+.f64 a b) |
(neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 b b) |
b |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
r |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 b) |
(sin.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) (sin.f64 b)) (neg.f64 r)) |
(neg.f64 r) |
r |
(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) (sin.f64 b)) |
(sin.f64 b) |
b |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
#s(literal -1 binary64) |
(cos.f64 a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.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 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(neg.f64 (+.f64 a b)) |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (-.f64 b a) b (*.f64 a a)) |
(-.f64 b a) |
a |
(*.f64 a a) |
(+.f64 a b) |
(neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
#s(approx (* r (sin b)) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 b b) |
b |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
r |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.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))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 b) |
(sin.f64 a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) | |
| accuracy | 0.24609375 | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| accuracy | 5.9300011294359685 | (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) | |
| accuracy | 35.07234512782314 | #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) | |
| accuracy | 0.140625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.24609375 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| accuracy | 15.697600517893363 | (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) | |
| accuracy | 37.055516449301955 | (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) | |
| accuracy | 0.15234375 | (/.f64 #s(literal -1 binary64) (cos.f64 a)) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) | |
| accuracy | 0.26953125 | (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) | |
| accuracy | 32.23688953244275 | #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) | |
| accuracy | 0.0 | (*.f64 b r) | |
| accuracy | 23.61198642509364 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| accuracy | 34.84375708173976 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| accuracy | 0.09765625 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.10604376923805559 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.140625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.24609375 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 223.0ms | 198× | 1 | valid |
| 19.0ms | 58× | 0 | valid |
Compiled 692 to 98 computations (85.8% saved)
ival-mult: 57.0ms (33.8% of total)ival-cos: 37.0ms (21.9% of total)ival-div: 19.0ms (11.3% of total)adjust: 17.0ms (10.1% of total)ival-sin: 15.0ms (8.9% of total)ival-add: 10.0ms (5.9% of total)ival-neg: 6.0ms (3.6% of total)const: 6.0ms (3.6% of total)ival-sub: 2.0ms (1.2% 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))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(neg.f64 r) |
(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(* -1 r) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(* r (+ 1 (* -1/6 (pow b 2)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(* -1 (/ (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))))))))))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 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))) |
-1 |
(- (* -1/2 (pow a 2)) 1) |
(- (* (pow a 2) (- (* -5/24 (pow a 2)) 1/2)) 1) |
(- (* (pow a 2) (- (* (pow a 2) (- (* -61/720 (pow a 2)) 5/24)) 1/2)) 1) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(* -1 a) |
(* a (- (* -1 (/ b a)) 1)) |
(cos (* -1 (+ a b))) |
(* (cos a) (cos b)) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos a)) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(* -1 (* a (+ 1 (/ b a)))) |
(cos (* -1 (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ -1 (cos (- b (* -1 a)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* -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)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
r |
(+ r (* -1/6 (* (pow b 2) r))) |
1 |
(+ 1 (* -1/6 (pow b 2))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(- (* -1 (/ (* b (sin a)) (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))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(* b (- (* -1 (/ (+ a (* -1 a)) b)) (+ 1 (/ a b)))) |
(* b (- (+ (* -1 (/ (+ a (* -1 a)) b)) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (+ 1 (+ (* -1 (/ (* a (- (* -1 (+ a (* -1 a))) a)) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))) |
(* b (- (+ (* -1 (/ (+ a (* -1 a)) b)) (+ (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (* -1 (/ (pow a 3) (pow b 3))))) (+ 1 (+ (* -1 (/ (* a (- (* -1 (+ a (* -1 a))) a)) (pow b 2))) (+ (* -1 (/ (* a (- (* -1 (+ (* -1 (pow a 2)) (pow a 2))) (+ (* -1 (* a (- (* -1 (+ a (* -1 a))) a))) (* -1 (pow a 2))))) (pow b 3))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (* (pow a 2) (- (* -1 (+ a (* -1 a))) a)) (pow b 3))))))))) |
(cos (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (- (* a b) (+ (pow a 2) (pow b 2))))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (- (* a b) (+ (pow a 2) (pow b 2)))))) |
(* -1/6 (* (pow b 2) r)) |
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2)))) |
(* -1/6 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(* -1 (* b (+ 1 (/ a b)))) |
(cos (* -1 (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ -1 (cos (- a (* -1 b)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | a | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (cos b) (cos a)) (/ -1 (cos (+ a b))) (/ -1 (cos a)) (* (neg (sin b)) (sin a))) |
| 6.0ms | r | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (cos b) (cos a)) (/ -1 (cos (+ a b))) (/ -1 (cos a)) (* (neg (sin b)) (sin a))) |
| 5.0ms | b | @ | inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (cos b) (cos a)) (/ -1 (cos (+ a b))) (/ -1 (cos a)) (* (neg (sin b)) (sin a))) |
| 5.0ms | r | @ | inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (cos b) (cos a)) (/ -1 (cos (+ a b))) (/ -1 (cos a)) (* (neg (sin b)) (sin a))) |
| 5.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (cos b) (cos a)) (/ -1 (cos (+ a b))) (/ -1 (cos a)) (* (neg (sin b)) (sin a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 596 | 2463 |
| 1 | 1934 | 2197 |
| 2 | 6901 | 2139 |
| 0 | 8165 | 2033 |
| 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) |
(* -1 r) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(* r (+ 1 (* -1/6 (pow b 2)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(* -1 (/ (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))))))))))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 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))) |
-1 |
(- (* -1/2 (pow a 2)) 1) |
(- (* (pow a 2) (- (* -5/24 (pow a 2)) 1/2)) 1) |
(- (* (pow a 2) (- (* (pow a 2) (- (* -61/720 (pow a 2)) 5/24)) 1/2)) 1) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(* -1 a) |
(* a (- (* -1 (/ b a)) 1)) |
(cos (* -1 (+ a b))) |
(* (cos a) (cos b)) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos a)) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(* -1 (* a (+ 1 (/ b a)))) |
(cos (* -1 (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ -1 (cos (- b (* -1 a)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* -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)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
r |
(+ r (* -1/6 (* (pow b 2) r))) |
1 |
(+ 1 (* -1/6 (pow b 2))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(- (* -1 (/ (* b (sin a)) (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))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(sin b) |
(* b (- (* -1 (/ (+ a (* -1 a)) b)) (+ 1 (/ a b)))) |
(* b (- (+ (* -1 (/ (+ a (* -1 a)) b)) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (+ 1 (+ (* -1 (/ (* a (- (* -1 (+ a (* -1 a))) a)) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))) |
(* b (- (+ (* -1 (/ (+ a (* -1 a)) b)) (+ (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (* -1 (/ (pow a 3) (pow b 3))))) (+ 1 (+ (* -1 (/ (* a (- (* -1 (+ a (* -1 a))) a)) (pow b 2))) (+ (* -1 (/ (* a (- (* -1 (+ (* -1 (pow a 2)) (pow a 2))) (+ (* -1 (* a (- (* -1 (+ a (* -1 a))) a))) (* -1 (pow a 2))))) (pow b 3))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (* (pow a 2) (- (* -1 (+ a (* -1 a))) a)) (pow b 3))))))))) |
(cos (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (- (* a b) (+ (pow a 2) (pow b 2))))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (- (* a b) (+ (pow a 2) (pow b 2)))))) |
(* -1/6 (* (pow b 2) r)) |
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2)))) |
(* -1/6 (pow b 2)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(* -1 (* b (+ 1 (/ a b)))) |
(cos (* -1 (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ -1 (cos (- a (* -1 b)))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b r) |
(*.f64 b r) |
(* -1 r) |
(neg.f64 r) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* r (+ 1 (* -1/6 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.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))) a (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
(* -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 (sin.f64 b) #s(literal -1/2 binary64)) (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))) |
(* -1 b) |
(neg.f64 b) |
(+ (* -1 a) (* -1 b)) |
(neg.f64 (+.f64 a b)) |
(cos (* -1 b)) |
(cos.f64 b) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (neg.f64 (sin.f64 b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(/ (* r (sin b)) (cos (* -1 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 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 (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)) |
(/ -1 (cos b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 b))) a (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (sin.f64 b) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b))) a (+.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 b))))) a (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (pow a 2)) 1) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* (pow a 2) (- (* -5/24 (pow a 2)) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (- (* (pow a 2) (- (* -61/720 (pow a 2)) 5/24)) 1/2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 a a) #s(literal -5/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 (sin.f64 b)) a) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (sin.f64 b)) a)) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))) (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (sin.f64 b))) (*.f64 (neg.f64 (sin.f64 b)) a)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(* -1 a) |
(neg.f64 a) |
(* a (- (* -1 (/ b a)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) |
(cos (* -1 (+ a b))) |
(cos.f64 (+.f64 a b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(/ -1 (cos (+ a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/ -1 (cos a)) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(* -1 (* a (+ 1 (/ b a)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) |
(cos (* -1 (- b (* -1 a)))) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ -1 (cos (- b (* -1 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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))))))) 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 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (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 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (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)) |
(* -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 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (neg.f64 b) (/.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 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.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 (neg.f64 (sin.f64 a)) (/.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)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (neg.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) |
(cos (* -1 a)) |
(cos.f64 a) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(fma.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (neg.f64 (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ (* b r) (cos (* -1 a))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 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) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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)))) (neg.f64 b) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.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))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
r |
(+ r (* -1/6 (* (pow b 2) r))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
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)) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (neg.f64 b) (/.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))) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (sin.f64 a)) b)) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))) (*.f64 b b) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 (neg.f64 (sin.f64 a)) b)) |
(sin b) |
(sin.f64 b) |
(* b (- (* -1 (/ (+ a (* -1 a)) b)) (+ 1 (/ a b)))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal -1 binary64)) b) |
(* b (- (+ (* -1 (/ (+ a (* -1 a)) b)) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (+ 1 (+ (* -1 (/ (* a (- (* -1 (+ a (* -1 a))) a)) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) (/.f64 a b)))) b) |
(* b (- (+ (* -1 (/ (+ a (* -1 a)) b)) (+ (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (* -1 (/ (pow a 3) (pow b 3))))) (+ 1 (+ (* -1 (/ (* a (- (* -1 (+ a (* -1 a))) a)) (pow b 2))) (+ (* -1 (/ (* a (- (* -1 (+ (* -1 (pow a 2)) (pow a 2))) (+ (* -1 (* a (- (* -1 (+ a (* -1 a))) a))) (* -1 (pow a 2))))) (pow b 3))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (* (pow a 2) (- (* -1 (+ a (* -1 a))) a)) (pow b 3))))))))) |
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))) (-.f64 (-.f64 (/.f64 a b) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) b) |
(cos (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (- (* a b) (+ (pow a 2) (pow b 2))))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 a b)) (fma.f64 a (-.f64 b a) (*.f64 (neg.f64 b) b)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- (+ (pow a 2) (pow b 2)) (* a b))) (- (* a b) (+ (pow a 2) (pow b 2)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 a b)) (fma.f64 a (-.f64 b a) (*.f64 (neg.f64 b) b))))) |
(* -1/6 (* (pow b 2) r)) |
(*.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64)) |
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) b) b) |
(* -1/6 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -1/6 binary64)) |
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b) b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(* -1 (* b (+ 1 (/ a b)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) |
(cos (* -1 (- a (* -1 b)))) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 254 |
| 0 | 85 | 230 |
| 1 | 278 | 177 |
| 2 | 1779 | 177 |
| 0 | 8325 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(neg.f64 r) |
(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (*.f64 (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 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (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 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (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 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
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(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 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.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 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.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 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #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 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 1 binary64))) |
(-.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))) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (neg.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
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(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
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(neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
(*.f64 #s(literal -1 binary64) r) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r))) (neg.f64 (+.f64 #s(literal 0 binary64) r))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) |
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(neg.f64 r) |
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) |
(-.f64 #s(literal 0 binary64) r) |
(+.f64 #s(literal 0 binary64) (neg.f64 r)) |
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(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a)))) |
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(*.f64 (/.f64 (neg.f64 (+.f64 a b)) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (pow.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (+.f64 a b) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (/.f64 (+.f64 a b) (pow.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 a b) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 a b) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (pow.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 a b) #s(literal 1 binary64)) (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (neg.f64 (+.f64 a b)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (/.f64 (neg.f64 (+.f64 a b)) (pow.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)) (/.f64 (+.f64 a b) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 a b) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) (/.f64 (+.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (/.f64 (+.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (neg.f64 (+.f64 a b))) |
(*.f64 (neg.f64 (+.f64 a b)) (pow.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 a b)) (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (/.f64 (+.f64 a b) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (pow.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b))) |
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(*.f64 (+.f64 a b) (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
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(*.f64 (+.f64 a b) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 (+.f64 a b) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(*.f64 #s(literal -1 binary64) (+.f64 a b)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) #s(literal -1 binary64)) |
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(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) |
(*.f64 r (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) r) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) r) (*.f64 #s(literal 1 binary64) r)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r) (*.f64 #s(literal 1 binary64) r))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) r) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) r) (*.f64 #s(literal 1 binary64) r) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (*.f64 (*.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 r #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (-.f64 (*.f64 (*.f64 r #s(literal 1 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 r #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 r #s(literal 1 binary64)) (*.f64 r #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (*.f64 (*.f64 r #s(literal 1 binary64)) (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) r)) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) r)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 r (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 r (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) r) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) r) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 r (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (*.f64 r (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r (*.f64 #s(literal 1 binary64) r)) |
(fma.f64 #s(literal 1 binary64) r (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) |
(fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (*.f64 r #s(literal 1 binary64))) |
(fma.f64 r #s(literal 1 binary64) (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r) (*.f64 #s(literal 1 binary64) r)) |
(+.f64 (*.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) |
(+.f64 (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r #s(literal 1 binary64))) |
(+.f64 (*.f64 r #s(literal 1 binary64)) (*.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 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) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) b) b #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 b (*.f64 (*.f64 #s(literal -1/6 binary64) b) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 b (*.f64 #s(literal -1/6 binary64) b) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) |
(*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))) |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 a))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (cos.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (cos.f64 a)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (cos.f64 a) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 a))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 a) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 a)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
(neg.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 a))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 b (neg.f64 a))) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
Compiled 14 688 to 1 887 computations (87.2% saved)
70 alts after pruning (65 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 439 | 17 | 456 |
| Fresh | 23 | 48 | 71 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 463 | 70 | 533 |
| Status | Accuracy | Program |
|---|---|---|
| 38.6% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 32.4% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 98.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 99.0% | (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 75.3% | (/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ✓ | 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)))) |
| 61.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 39.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| 30.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| ✓ | 39.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
| 28.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| 68.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a b))))) | |
| 41.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (neg.f64 (+.f64 a b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| ▶ | 41.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
| ▶ | 19.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) |
| 62.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a)))) | |
| 62.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)))) | |
| 41.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) (/.f64 a b)))) b)))) | |
| 57.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) | |
| 47.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) | |
| 60.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 49.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) | |
| 99.4% | (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 75.3% | (/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r)) | |
| 44.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 45.7% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (sin.f64 a)))) | |
| 45.7% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))) | |
| 44.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) | |
| 45.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 75.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.0% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 75.1% | (*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 70.3% | (*.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 r))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 70.2% | (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 75.1% | (*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 29.2% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 r) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) (neg.f64 r))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) | |
| 99.1% | (*.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)))) | |
| 75.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 75.3% | (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) | |
| 75.3% | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 75.4% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 29.1% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 52.2% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) r))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 75.3% | (*.f64 (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) | |
| 75.3% | (*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)))) | |
| ▶ | 60.1% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
| ✓ | 49.8% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
| 34.9% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) | |
| 70.3% | (*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 32.4% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 60.2% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 45.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 45.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 45.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) | |
| 28.9% | #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)) | |
| 28.8% | #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)) | |
| 28.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| 45.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) | |
| 22.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b)) | |
| ▶ | 23.6% | #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)) |
| ✓ | 29.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 3 117 to 2 105 computations (32.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) | |
| cost-diff | 128 | (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)))) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)) | |
| cost-diff | 13504 | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) | |
| cost-diff | 128 | (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| cost-diff | 192 | (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))) | |
| cost-diff | 2816 | (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) | |
| cost-diff | 0 | (neg.f64 r) | |
| cost-diff | 0 | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 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 | 0 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 378 |
| 0 | 80 | 402 |
| 1 | 128 | 401 |
| 2 | 241 | 395 |
| 3 | 569 | 287 |
| 4 | 1498 | 283 |
| 5 | 6075 | 283 |
| 0 | 8373 | 283 |
| 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 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(neg.f64 r) |
r |
(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
(sin.f64 b) |
b |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 b)) |
#s(literal -1 binary64) |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(+.f64 a b) |
a |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(fma.f64 (-.f64 b a) b (*.f64 a a)) |
(-.f64 b a) |
(*.f64 a a) |
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
#s(literal -1 binary64) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)) |
(log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (+.f64 a b)) |
#s(literal -1 binary64) |
(+.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 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.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 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (sin.f64 b)) (neg.f64 r)) |
(neg.f64 r) |
r |
(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
(*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (sin.f64 b)) |
(sin.f64 b) |
b |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 b)) |
#s(literal -1 binary64) |
(cos.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(cos.f64 (+.f64 a b)) |
(*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(-.f64 (neg.f64 b) a) |
(+.f64 a b) |
a |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
#s(literal -1 binary64) |
(fma.f64 (-.f64 b a) b (*.f64 a a)) |
(-.f64 b a) |
(*.f64 a a) |
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
#s(literal -1 binary64) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 a b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))) |
(-.f64 (neg.f64 b) a) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)))) |
(log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (+.f64 a b)) |
#s(literal -1 binary64) |
(+.f64 a b) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.12109375 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) | |
| accuracy | 2.840522692569917 | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))) | |
| accuracy | 7.810014081951081 | (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)))) | |
| accuracy | 0.12109375 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) | |
| accuracy | 0.41616491287514334 | (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) | |
| accuracy | 7.810014081951081 | (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| accuracy | 15.184776170318127 | (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))) | |
| accuracy | 0.046875 | (/.f64 #s(literal -1 binary64) (cos.f64 b)) | |
| accuracy | 0.08203125 | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) | |
| accuracy | 14.326072730006434 | #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) | |
| accuracy | 0.05859375 | (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b) | |
| accuracy | 3.82151781154244 | (*.f64 (*.f64 a a) r) | |
| accuracy | 15.689486017656407 | #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) | |
| accuracy | 17.000657560727646 | #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 | 0.04296875 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.08203125 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.09765625 | (*.f64 (sin.f64 a) (sin.f64 b)) | |
| accuracy | 0.12109375 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 106.0ms | 96× | 1 | valid |
| 84.0ms | 127× | 0 | invalid |
| 14.0ms | 33× | 0 | valid |
Compiled 720 to 92 computations (87.2% saved)
ival-mult: 46.0ms (34.2% of total)ival-cos: 28.0ms (20.8% of total)ival-div: 16.0ms (11.9% of total)ival-sin: 13.0ms (9.7% of total)ival-log: 9.0ms (6.7% of total)adjust: 7.0ms (5.2% of total)ival-exp: 6.0ms (4.5% of total)ival-add: 5.0ms (3.7% of total)ival-sub: 3.0ms (2.2% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.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 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(neg.f64 r) |
(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)) |
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (*.f64 a a) r) |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 b)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
| 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) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(* (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)))) |
(* -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))))))))))) |
-1 |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(* -1 (log (/ -1 b))) |
(+ (* -1 (log (/ -1 b))) (/ a b)) |
(+ (* -1 (log (/ -1 b))) (* a (+ (* -1/2 (/ a (pow b 2))) (/ 1 b)))) |
(+ (* -1 (log (/ -1 b))) (* a (+ (* a (- (* 1/3 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (/ 1 b)))) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(+ (cos b) (* -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))) |
(/ -1 (pow b 2)) |
(- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) |
(- (* a (- (/ (pow a 2) (pow b 5)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) |
(- (* a (- (* (pow a 2) (+ (/ 1 (pow b 5)) (/ a (pow b 6)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(* 1/2 (* (pow a 2) r)) |
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2)))) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(* -1 a) |
(* a (- (* -1 (/ b a)) 1)) |
(cos (* -1 (+ a b))) |
(* -1 (+ (log -1) (log (/ 1 a)))) |
(+ (* -1 (+ (log -1) (log (/ 1 a)))) (/ b a)) |
(+ (* -1 (+ (log -1) (log (/ 1 a)))) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (/ b a))) |
(+ (* -1 (+ (log -1) (log (/ 1 a)))) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (+ (* -1/6 (/ (+ (* -6 (pow b 3)) (+ (* -2 (pow b 3)) (* 6 (pow b 3)))) (pow a 3))) (/ b a)))) |
(* (sin a) (sin b)) |
(* (cos a) (cos b)) |
(/ -1 (cos (+ a b))) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ b a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))) (pow a 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow b 3)) (* b (+ (* -1 (pow b 2)) (pow b 2)))) (pow a 3))) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))) (pow a 2)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(* -1 (* a (+ 1 (/ b a)))) |
(cos (* -1 (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(* -1 (log (/ -1 a))) |
(+ (* -1 (log (/ -1 a))) (/ b a)) |
(+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) a))) a))) |
(+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow b 2)) (* 2 (pow b 2)))) (* 1/6 (/ (+ (* -6 (pow b 3)) (+ (* 2 (pow b 3)) (* 6 (pow b 3)))) a))) a))) a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (/ (pow b 3) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1) (pow a 2)) |
(* 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)))) |
(* -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)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(+ (* -1 (log (/ -1 a))) (* b (+ (* -1/2 (/ b (pow a 2))) (/ 1 a)))) |
(+ (* -1 (log (/ -1 a))) (* b (+ (* b (- (* 1/3 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (/ 1 a)))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(+ (cos a) (* -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))) |
(- (* -1/2 (pow b 2)) 1) |
(- (* (pow b 2) (- (* -5/24 (pow b 2)) 1/2)) 1) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -61/720 (pow b 2)) 5/24)) 1/2)) 1) |
(- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) |
(- (* b (- (/ (pow b 2) (pow a 5)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) |
(- (* b (- (* (pow b 2) (+ (/ 1 (pow a 5)) (/ b (pow a 6)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) |
(sin b) |
(* b (- (* -1 (/ a b)) 1)) |
(* -1 (+ (log -1) (log (/ 1 b)))) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (/ a b)) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (+ (* -1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) (pow b 2))) (/ a b))) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (+ (* -1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) (pow b 2))) (+ (* -1/6 (/ (+ (* -6 (pow a 3)) (+ (* -2 (pow a 3)) (* 6 (pow a 3)))) (pow b 3))) (/ a b)))) |
(/ (- (* -1 (/ a b)) 1) (pow b 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))) (pow b 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow a 3)) (* a (+ (* -1 (pow a 2)) (pow a 2)))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))) (pow b 2)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(* -1 (* b (+ 1 (/ a b)))) |
(cos (* -1 (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 a) (* 1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) b))) b))) |
(+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow a 2)) (* 2 (pow a 2)))) (* 1/6 (/ (+ (* -6 (pow a 3)) (+ (* 2 (pow a 3)) (* 6 (pow a 3)))) b))) b))) b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1) (pow b 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (/ (pow a 3) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1) (pow b 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | 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) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))) (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))))) (exp (* (log (/ -1 (+ a b))) -1)) (* (log (/ -1 (+ a b))) -1) (cos (exp (* (log (/ -1 (+ a b))) -1))) (/ (* r (sin b)) (cos (exp (* (log (/ -1 (+ a b))) -1)))) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (/ -1 (cos (+ a b))) (/ -1 (cos b)) (/ -1 (+ (* (- b a) b) (* a a)))) |
| 6.0ms | a | @ | -inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))) (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))))) (exp (* (log (/ -1 (+ a b))) -1)) (* (log (/ -1 (+ a b))) -1) (cos (exp (* (log (/ -1 (+ a b))) -1))) (/ (* r (sin b)) (cos (exp (* (log (/ -1 (+ a b))) -1)))) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (/ -1 (cos (+ a b))) (/ -1 (cos b)) (/ -1 (+ (* (- b a) b) (* a a)))) |
| 6.0ms | r | @ | -inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))) (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))))) (exp (* (log (/ -1 (+ a b))) -1)) (* (log (/ -1 (+ a b))) -1) (cos (exp (* (log (/ -1 (+ a b))) -1))) (/ (* r (sin b)) (cos (exp (* (log (/ -1 (+ a b))) -1)))) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (/ -1 (cos (+ a b))) (/ -1 (cos b)) (/ -1 (+ (* (- b a) b) (* a a)))) |
| 6.0ms | r | @ | inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))) (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))))) (exp (* (log (/ -1 (+ a b))) -1)) (* (log (/ -1 (+ a b))) -1) (cos (exp (* (log (/ -1 (+ a b))) -1))) (/ (* r (sin b)) (cos (exp (* (log (/ -1 (+ a b))) -1)))) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (/ -1 (cos (+ a b))) (/ -1 (cos b)) (/ -1 (+ (* (- b a) b) (* a a)))) |
| 5.0ms | a | @ | inf | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (neg r) (* (sin b) (/ -1 (cos (+ a b))))) (neg r) (* (sin b) (/ -1 (cos (+ a b)))) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))) (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (cos (* (+ a b) (* (+ (* (- b a) b) (* a a)) (/ -1 (+ (* (- b a) b) (* a a))))))) (exp (* (log (/ -1 (+ a b))) -1)) (* (log (/ -1 (+ a b))) -1) (cos (exp (* (log (/ -1 (+ a b))) -1))) (/ (* r (sin b)) (cos (exp (* (log (/ -1 (+ a b))) -1)))) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (/ -1 (cos (+ a b))) (/ -1 (cos b)) (/ -1 (+ (* (- b a) b) (* a a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 806 | 3056 |
| 1 | 2530 | 2730 |
| 0 | 8619 | 2587 |
| 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) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(* (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)))) |
(* -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))))))))))) |
-1 |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(* -1 (log (/ -1 b))) |
(+ (* -1 (log (/ -1 b))) (/ a b)) |
(+ (* -1 (log (/ -1 b))) (* a (+ (* -1/2 (/ a (pow b 2))) (/ 1 b)))) |
(+ (* -1 (log (/ -1 b))) (* a (+ (* a (- (* 1/3 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (/ 1 b)))) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(+ (cos b) (* -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))) |
(/ -1 (pow b 2)) |
(- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) |
(- (* a (- (/ (pow a 2) (pow b 5)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) |
(- (* a (- (* (pow a 2) (+ (/ 1 (pow b 5)) (/ a (pow b 6)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(* 1/2 (* (pow a 2) r)) |
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2)))) |
(* -1 (/ (sin b) (cos (+ a b)))) |
(* -1 a) |
(* a (- (* -1 (/ b a)) 1)) |
(cos (* -1 (+ a b))) |
(* -1 (+ (log -1) (log (/ 1 a)))) |
(+ (* -1 (+ (log -1) (log (/ 1 a)))) (/ b a)) |
(+ (* -1 (+ (log -1) (log (/ 1 a)))) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (/ b a))) |
(+ (* -1 (+ (log -1) (log (/ 1 a)))) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) (pow a 2))) (+ (* -1/6 (/ (+ (* -6 (pow b 3)) (+ (* -2 (pow b 3)) (* 6 (pow b 3)))) (pow a 3))) (/ b a)))) |
(* (sin a) (sin b)) |
(* (cos a) (cos b)) |
(/ -1 (cos (+ a b))) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ b a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))) (pow a 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow b 3)) (* b (+ (* -1 (pow b 2)) (pow b 2)))) (pow a 3))) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))) (pow a 2)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (sin b) (cos (- b (* -1 a))))) |
(* -1 (* a (+ 1 (/ b a)))) |
(cos (* -1 (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(* -1 (log (/ -1 a))) |
(+ (* -1 (log (/ -1 a))) (/ b a)) |
(+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) a))) a))) |
(+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow b 2)) (* 2 (pow b 2)))) (* 1/6 (/ (+ (* -6 (pow b 3)) (+ (* 2 (pow b 3)) (* 6 (pow b 3)))) a))) a))) a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (/ (pow b 3) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1) (pow a 2)) |
(* 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)))) |
(* -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)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(+ (* -1 (log (/ -1 a))) (* b (+ (* -1/2 (/ b (pow a 2))) (/ 1 a)))) |
(+ (* -1 (log (/ -1 a))) (* b (+ (* b (- (* 1/3 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (/ 1 a)))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(+ (cos a) (* -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))) |
(- (* -1/2 (pow b 2)) 1) |
(- (* (pow b 2) (- (* -5/24 (pow b 2)) 1/2)) 1) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -61/720 (pow b 2)) 5/24)) 1/2)) 1) |
(- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) |
(- (* b (- (/ (pow b 2) (pow a 5)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) |
(- (* b (- (* (pow b 2) (+ (/ 1 (pow a 5)) (/ b (pow a 6)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) |
(sin b) |
(* b (- (* -1 (/ a b)) 1)) |
(* -1 (+ (log -1) (log (/ 1 b)))) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (/ a b)) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (+ (* -1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) (pow b 2))) (/ a b))) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (+ (* -1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) (pow b 2))) (+ (* -1/6 (/ (+ (* -6 (pow a 3)) (+ (* -2 (pow a 3)) (* 6 (pow a 3)))) (pow b 3))) (/ a b)))) |
(/ (- (* -1 (/ a b)) 1) (pow b 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))) (pow b 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow a 3)) (* a (+ (* -1 (pow a 2)) (pow a 2)))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))) (pow b 2)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (sin b) (cos (- a (* -1 b))))) |
(* -1 (* b (+ 1 (/ a b)))) |
(cos (* -1 (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 a) (* 1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) b))) b))) |
(+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow a 2)) (* 2 (pow a 2)))) (* 1/6 (/ (+ (* -6 (pow a 3)) (+ (* 2 (pow a 3)) (* 6 (pow a 3)))) b))) b))) b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1) (pow b 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (/ (pow a 3) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1) (pow b 2)) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(* 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) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* (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 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (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 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(*.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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 r #s(literal 5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
(* -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) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (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) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (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 |
#s(literal -1 binary64) |
(* -1 b) |
(neg.f64 b) |
(+ (* -1 a) (* -1 b)) |
(neg.f64 (+.f64 a b)) |
(cos (* -1 b)) |
(cos.f64 b) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (neg.f64 (sin.f64 b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(/ (* r (sin b)) (cos (* -1 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 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 (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (neg.f64 a) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
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b |
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(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (neg.f64 (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ (* b r) (cos (* -1 a))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 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) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (*.f64 (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (*.f64 (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (neg.f64 (sin.f64 a))) (cos.f64 a))) (neg.f64 b) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (*.f64 (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(+ (* -1 (log (/ -1 a))) (* b (+ (* -1/2 (/ b (pow a 2))) (/ 1 a)))) |
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (/.f64 b a) a) (-.f64 (/.f64 b a) (log.f64 (/.f64 #s(literal -1 binary64) a)))) |
(+ (* -1 (log (/ -1 a))) (* b (+ (* b (- (* 1/3 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (/ 1 a)))) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) b (/.f64 #s(literal 1 binary64) a)) b) (log.f64 (/.f64 #s(literal -1 binary64) a))) |
(* 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 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) b)) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(fma.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) (sin.f64 a))) (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) b)) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)) |
(/ -1 (cos a)) |
(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (neg.f64 b) (/.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 (*.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))) (sin.f64 a)) (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))) |
(- (* -1/2 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* (pow b 2) (- (* -5/24 (pow b 2)) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -61/720 (pow b 2)) 5/24)) 1/2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 b b) #s(literal -5/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) a) |
(- (* b (- (/ (pow b 2) (pow a 5)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) |
(fma.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (/.f64 #s(literal -1 binary64) a) a)) |
(- (* b (- (* (pow b 2) (+ (/ 1 (pow a 5)) (/ b (pow a 6)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (/.f64 #s(literal -1 binary64) a) a)) |
(sin b) |
(sin.f64 b) |
(* b (- (* -1 (/ a b)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) |
(* -1 (+ (log -1) (log (/ 1 b)))) |
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (/ a b)) |
(-.f64 (/.f64 a b) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (+ (* -1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) (pow b 2))) (/ a b))) |
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (/.f64 a b) b) (-.f64 (/.f64 a b) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))) |
(+ (* -1 (+ (log -1) (log (/ 1 b)))) (+ (* -1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) (pow b 2))) (+ (* -1/6 (/ (+ (* -6 (pow a 3)) (+ (* -2 (pow a 3)) (* 6 (pow a 3)))) (pow b 3))) (/ a b)))) |
(-.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (/.f64 a b) b) (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/6 binary64) (/.f64 a b))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) |
(/ (- (* -1 (/ a b)) 1) (pow b 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b) |
(/ (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))) (pow b 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b) |
(/ (- (* -1 (/ (+ (* -1 (pow a 3)) (* a (+ (* -1 (pow a 2)) (pow a 2)))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (neg.f64 (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (pow.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (/.f64 (/.f64 a b) b))) (fma.f64 a (/.f64 (/.f64 a b) b) (/.f64 a 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))) |
(* -1 (* b (+ 1 (/ a b)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) |
(cos (* -1 (- a (* -1 b)))) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 a) (* 1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) b))) b))) |
(-.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 a b)) #s(literal 1/2 binary64) (neg.f64 a)) (neg.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow a 2)) (* 2 (pow a 2)))) (* 1/6 (/ (+ (* -6 (pow a 3)) (+ (* 2 (pow a 3)) (* 6 (pow a 3)))) b))) b))) b))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (neg.f64 b)) a) (neg.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1) (pow b 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (/ (pow a 3) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b) a)) b) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 b b)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 304 |
| 0 | 80 | 252 |
| 1 | 254 | 212 |
| 2 | 1590 | 193 |
| 0 | 8420 | 193 |
| 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 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(neg.f64 r) |
(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)) |
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (*.f64 a a) r) |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 b)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
| Outputs |
|---|
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (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 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (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 (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 (/.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 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
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(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) r) |
(+.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (sin.f64 b)) #s(literal -1 binary64)) r) |
(*.f64 (*.f64 (neg.f64 r) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
(*.f64 (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (sin.f64 b)) (neg.f64 r)) |
(*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (sin.f64 b))) |
(*.f64 (sin.f64 b) (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (neg.f64 r))) |
(*.f64 r (neg.f64 (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (sin.f64 b)))) |
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(neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) (sin.f64 b)) (neg.f64 r))) |
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(*.f64 #s(literal -1 binary64) r) |
(*.f64 r #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r))) (neg.f64 (+.f64 #s(literal 0 binary64) r))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 #s(literal 0 binary64) r)) |
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(/.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 (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))) (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))))) |
(neg.f64 r) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) r)) (/.f64 (*.f64 r r) (+.f64 #s(literal 0 binary64) r))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) |
(-.f64 #s(literal 0 binary64) r) |
(+.f64 #s(literal 0 binary64) (neg.f64 r)) |
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(*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
#s(literal -1 binary64) |
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(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (+.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (+.f64 a b) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 a b)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (*.f64 (+.f64 a b) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 a b) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(*.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
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(*.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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (-.f64 a b)))) |
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(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 a b)))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b)))) |
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(*.f64 (neg.f64 (+.f64 a b)) (/.f64 (-.f64 a b) (-.f64 a b))) |
(*.f64 (neg.f64 (+.f64 a b)) (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (neg.f64 (+.f64 a b)) #s(literal 1 binary64)) |
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(*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b))) |
(*.f64 (+.f64 a b) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 a b))) |
(*.f64 #s(literal -1 binary64) (+.f64 a b)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)))) |
(pow.f64 (neg.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 a b) (+.f64 a b) (*.f64 #s(literal 0 binary64) (+.f64 a b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 b #s(literal -1 binary64))) (*.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 b #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 b #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64))) (*.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) b)) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) b) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) b) (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (neg.f64 b) (neg.f64 b) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 a))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 b))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (-.f64 a b)))) |
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(*.f64 #s(literal -1 binary64) (+.f64 a b)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)))) |
(pow.f64 (neg.f64 (+.f64 a b)) #s(literal 1 binary64)) |
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(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 a b)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(fma.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) |
(*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))) |
(*.f64 (*.f64 a r) a) |
(*.f64 (*.f64 a a) r) |
(*.f64 a (*.f64 a r)) |
(*.f64 r (*.f64 a a)) |
#s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(*.f64 (pow.f64 (cos.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 b))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 b) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (cos.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (cos.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (cos.f64 b) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 b) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 b)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 b)) |
(neg.f64 (pow.f64 (cos.f64 b) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(neg.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) #s(literal -1 binary64))) |
Compiled 17 832 to 2 638 computations (85.2% saved)
83 alts after pruning (75 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 27 | 603 |
| Fresh | 12 | 48 | 60 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 590 | 83 | 673 |
| Status | Accuracy | Program |
|---|---|---|
| 38.6% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 32.4% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 98.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 99.0% | (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 75.3% | (/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ✓ | 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)))) |
| 61.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 88.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
| 46.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1/2 binary64)))) | |
| 26.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| 28.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| 68.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a b))))) | |
| 41.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (neg.f64 (+.f64 a b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) | |
| ✓ | 41.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
| 16.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (fma.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (/.f64 #s(literal -1 binary64) b) b))))))) | |
| 23.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b) a)) b) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 b b))))))) | |
| 18.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) a)))))) | |
| 20.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)))))) | |
| 21.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 #s(literal -1 binary64) b) b)))))) | |
| 18.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 #s(literal -1 binary64) a) a)))))) | |
| 43.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b)))))) | |
| 19.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 a b)))))) | |
| 18.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ a b))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))))))) | |
| 17.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ a b))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))))))) | |
| 62.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a)))) | |
| 62.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)))) | |
| 41.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) (/.f64 a b)))) b)))) | |
| 57.3% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) | |
| 47.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) | |
| 60.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) | |
| 49.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) | |
| 99.4% | (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 75.3% | (/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r)) | |
| 44.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 45.7% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (sin.f64 a)))) | |
| 45.7% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))) | |
| 44.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) | |
| 45.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 75.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.0% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 75.1% | (*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 70.3% | (*.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 r))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 70.2% | (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 75.1% | (*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 23.2% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r)))) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) | |
| 41.9% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 #s(literal 0 binary64) r)) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) | |
| 99.1% | (*.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)))) | |
| 75.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 75.3% | (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) | |
| 75.3% | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 29.1% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 23.2% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) | |
| 52.2% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) r))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 60.1% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) | |
| 60.1% | (*.f64 (*.f64 (neg.f64 r) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) (sin.f64 b)) | |
| 75.3% | (*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)))) | |
| ✓ | 60.1% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
| ✓ | 49.8% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) |
| 34.9% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) | |
| 70.3% | (*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 32.4% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 60.2% | #s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 45.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 45.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 28.9% | #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)) | |
| 28.8% | #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)) | |
| 28.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b)) | |
| 45.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) | |
| 22.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b)) | |
| ✓ | 23.6% | #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)) |
| 23.6% | #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)) | |
| 17.1% | #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)) | |
| 13.2% | #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)) | |
| 8.2% | #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)) | |
| ✓ | 29.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 5 564 to 2 061 computations (63% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#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)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (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) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 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 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 #s(literal 0 binary64) r)) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) r))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 #s(literal -1 binary64) a) a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 #s(literal -1 binary64) b) b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (neg.f64 (+.f64 a b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
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(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
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(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) |
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(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
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(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
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(*.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 r))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
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(/.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)))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
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(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
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(/.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 (pow.f64 r #s(literal 1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
4 calls:
| 57.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 45.0ms | r |
| 41.0ms | a |
| 39.0ms | 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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#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)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (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) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 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 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 #s(literal 0 binary64) r)) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) r))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 #s(literal -1 binary64) a) a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 #s(literal -1 binary64) b) b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (neg.f64 (+.f64 a b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) (/.f64 a b)))) b)))) |
(/.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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #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 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r)))) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 r) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) (neg.f64 r))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (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)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b) a)) b) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 b b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)))) |
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (log.f64 (neg.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 (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 (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 r (sin.f64 b)) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ a b))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ a b))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 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)))))) |
(/.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)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (sin.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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (fma.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (/.f64 #s(literal -1 binary64) b) b))))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 r))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 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)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
4 calls:
| 37.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 36.0ms | a |
| 34.0ms | r |
| 33.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | r |
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#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)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (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) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 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 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 #s(literal 0 binary64) r)) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) r))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 #s(literal -1 binary64) a) a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 #s(literal -1 binary64) b) b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (neg.f64 (+.f64 a b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ (* (- b a) b) (* a a)) (+ a b)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) (/.f64 a b)))) b)))) |
(/.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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #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 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r)))) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 r) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) (neg.f64 r))))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) (/.f64 #s(literal -1 binary64) (cos.f64 b))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 r r (*.f64 #s(literal 0 binary64) r))))) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (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)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b) a)) b) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 b b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)))) |
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (log.f64 (neg.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 (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 (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 r (sin.f64 b)) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ a b))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ a b))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b))) #s(literal -1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 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)))))) |
(/.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)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (sin.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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (fma.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (/.f64 #s(literal -1 binary64) b) b))))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 r))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
4 calls:
| 55.0ms | r |
| 45.0ms | a |
| 34.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 33.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 1 | r |
| 75.4% | 1 | a |
| 75.4% | 1 | b |
| 75.4% | 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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#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)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
4 calls:
| 13.0ms | r |
| 11.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 10.0ms | b |
| 10.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 1 | r |
| 75.4% | 1 | a |
| 75.4% | 1 | b |
| 75.4% | 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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#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)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (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 (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
4 calls:
| 11.0ms | r |
| 10.0ms | b |
| 10.0ms | a |
| 10.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 1 | r |
| 75.4% | 3 | a |
| 75.7% | 3 | b |
| 60.2% | 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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#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)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) |
#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 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
4 calls:
| 8.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 7.0ms | b |
| 7.0ms | a |
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.6% | 1 | r |
| 45.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 45.6% | 1 | a |
| 50.5% | 3 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| Outputs |
|---|
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
4 calls:
| 5.0ms | a |
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 3.0ms | r |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.9% | 1 | r |
| 34.9% | 1 | a |
| 34.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 34.9% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
Total -15.8b remaining (-35.2%)
Threshold costs -15.8b (-35.2%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 #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)) #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 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.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 | b |
| 3.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.9% | 1 | b |
| 29.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 29.9% | 1 | r |
| 29.9% | 1 | a |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.2253434539123738e-22 | 1.2846650698134464e-20 |
| 38.0ms | -0.42796851199918445 | -3.201698424966705e-40 |
| 30.0ms | 130× | 1 | valid |
| 11.0ms | 174× | 0 | valid |
Compiled 604 to 506 computations (16.2% saved)
ival-cos: 7.0ms (37% of total)ival-sin: 3.0ms (15.9% of total)ival-add: 2.0ms (10.6% of total)ival-div: 2.0ms (10.6% of total)adjust: 2.0ms (10.6% of total)ival-mult: 2.0ms (10.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.2253434539123738e-22 | 1.2846650698134464e-20 |
| 1.0ms | -0.42796851199918445 | -3.201698424966705e-40 |
Compiled 639 to 527 computations (17.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 89.0ms | 3.588681857246376 | 3140047.088514134 |
| 36.0ms | -0.42796851199918445 | -3.201698424966705e-40 |
| 79.0ms | 156× | 0 | valid |
| 19.0ms | 132× | 1 | valid |
Compiled 747 to 644 computations (13.8% saved)
ival-cos: 8.0ms (33.4% of total)ival-sin: 6.0ms (25% of total)ival-add: 2.0ms (8.3% of total)ival-div: 2.0ms (8.3% of total)adjust: 2.0ms (8.3% of total)ival-mult: 2.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.588681857246376 | 3140047.088514134 |
| 1.0ms | -0.42796851199918445 | -3.201698424966705e-40 |
Compiled 747 to 644 computations (13.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 272 |
| 1 | 96 | 272 |
| 2 | 125 | 272 |
| 3 | 149 | 272 |
| 4 | 170 | 272 |
| 5 | 185 | 272 |
| 6 | 216 | 272 |
| 7 | 389 | 272 |
| 8 | 4349 | 272 |
| 9 | 7026 | 272 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.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)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(if (<=.f64 b #s(literal -2184094498327211/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4187068186722485/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))))) |
(if (<=.f64 b #s(literal -2184094498327211/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4187068186722485/332306998946228968225951765070086144 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 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) (if (<=.f64 b #s(literal 118 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))))) |
(if (<=.f64 b #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) (if (<=.f64 b #s(literal 118 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.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)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(if (<=.f64 b #s(literal -2184094498327211/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4187068186722485/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))))) |
(if (<=.f64 b #s(literal -2184094498327211/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4187068186722485/332306998946228968225951765070086144 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 b)) (sin.f64 b))))) |
(if (or (<=.f64 b #s(literal -2184094498327211/590295810358705651712 binary64)) (not (<=.f64 b #s(literal 4187068186722485/332306998946228968225951765070086144 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))) |
(if (<=.f64 b #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) (if (<=.f64 b #s(literal 118 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))))) |
(if (or (<=.f64 b #s(literal -3512807709348987/9007199254740992 binary64)) (not (<=.f64 b #s(literal 118 binary64)))) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))) |
(if (<=.f64 b #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) (if (<=.f64 b #s(literal 118 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))))) |
(if (or (<=.f64 b #s(literal -3512807709348987/9007199254740992 binary64)) (not (<=.f64 b #s(literal 118 binary64)))) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) #s(approx (/ -1 (cos (+ a b))) #s(approx (/ -1 (cos a)) #s(literal -1 binary64))))) |
#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 | 596 | 2463 |
| 1 | 1934 | 2197 |
| 2 | 6901 | 2139 |
| 0 | 8165 | 2033 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2062 | 19 |
| 0 | 8507 | 19 |
| 0 | 678 | 2925 |
| 1 | 2187 | 2637 |
| 2 | 7642 | 2573 |
| 0 | 8375 | 2453 |
| 0 | 42 | 196 |
| 0 | 75 | 195 |
| 1 | 258 | 126 |
| 2 | 1623 | 126 |
| 0 | 8366 | 126 |
| 0 | 167 | 593 |
| 1 | 517 | 561 |
| 2 | 1610 | 519 |
| 3 | 5575 | 500 |
| 0 | 8699 | 472 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 590 to 318 computations (46.1% saved)
(negabs r)
Compiled 626 to 200 computations (68.1% saved)
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