
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 769.0ms | 5 797× | 1 | valid |
| 138.0ms | 2 459× | 0 | valid |
ival-cos: 234.0ms (34% of total)ival-sin: 171.0ms (24.8% of total)adjust: 93.0ms (13.5% of total)ival-add: 68.0ms (9.9% of total)ival-div: 61.0ms (8.9% of total)ival-mult: 53.0ms (7.7% of total)ival-true: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 60 | 139 | (-3.6023562661200696e-143 3.945343932517951e-284 -3.892324463692538e+287) | 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 | 199 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 60 | 0 |
| - | 139 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 60 | 0 | 0 |
| - | 139 | 0 | 57 |
| number | freq |
|---|---|
| 0 | 57 |
| 1 | 199 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 376× | 1 | valid |
| 9.0ms | 136× | 0 | valid |
Compiled 88 to 36 computations (59.1% saved)
ival-cos: 15.0ms (34% of total)ival-sin: 10.0ms (22.7% of total)adjust: 6.0ms (13.6% of total)ival-add: 5.0ms (11.3% of total)ival-div: 4.0ms (9.1% of total)ival-mult: 3.0ms (6.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 193 | 84 |
| 3 | 478 | 84 |
| 4 | 1399 | 84 |
| 5 | 2338 | 84 |
| 6 | 2925 | 84 |
| 7 | 3299 | 84 |
| 8 | 3481 | 84 |
| 9 | 3698 | 84 |
| 10 | 3927 | 84 |
| 11 | 3933 | 84 |
| 12 | 3933 | 84 |
| 13 | 3941 | 84 |
| 14 | 3961 | 84 |
| 15 | 3969 | 84 |
| 16 | 3969 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 20 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 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 | 0.00390625 | (sin.f64 b) | |
| accuracy | 0.109375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.27734375 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.348587417866959 | (cos.f64 (+.f64 a b)) |
| 27.0ms | 188× | 1 | valid |
| 5.0ms | 68× | 0 | valid |
Compiled 52 to 18 computations (65.4% saved)
ival-cos: 7.0ms (31.7% of total)ival-sin: 5.0ms (22.6% of total)adjust: 3.0ms (13.6% of total)ival-add: 2.0ms (9.1% of total)ival-div: 2.0ms (9.1% of total)ival-mult: 2.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | inf | ((/ (* 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))) |
| 1.0ms | r | @ | -inf | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 1.0ms | b | @ | 0 | ((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 593 |
| 1 | 517 | 561 |
| 2 | 1600 | 519 |
| 3 | 5430 | 518 |
| 0 | 8316 | 486 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 r) (sin.f64 a)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b r) |
(*.f64 b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) |
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) |
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) |
(*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) |
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) |
(sin.f64 b) |
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b))) |
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(cos.f64 (+.f64 a b)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
Compiled 3 289 to 553 computations (83.2% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 31 | 165 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 135 | 31 | 166 |
| Status | Accuracy | Program |
|---|---|---|
| 39.5% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 78.2% | (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 79.6% | (/.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))))))) | |
| 78.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) | |
| 78.8% | (/.f64 (*.f64 r (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)))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) | |
| ▶ | 51.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
| 59.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 62.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 54.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 50.2% | (/.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))) | |
| 49.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 50.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 78.3% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 78.3% | (*.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)))) | |
| ▶ | 78.7% | (*.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))) |
| 78.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) | |
| 78.9% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| 78.8% | (*.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))) | |
| 79.6% | (*.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)))) | |
| ▶ | 78.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| 78.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 78.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 78.8% | (*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 39.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 62.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) | |
| ▶ | 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
Compiled 1 088 to 792 computations (27.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 b)) | |
| cost-diff | 256 | (*.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))) | |
| cost-diff | 6464 | (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)) | |
| cost-diff | 7040 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 r (cos.f64 a)) | |
| cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 6336 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
Useful iterations: 12 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 217 |
| 0 | 62 | 210 |
| 1 | 95 | 208 |
| 2 | 152 | 206 |
| 3 | 258 | 205 |
| 4 | 606 | 205 |
| 5 | 1323 | 205 |
| 6 | 2705 | 205 |
| 7 | 3822 | 205 |
| 8 | 4702 | 205 |
| 9 | 5314 | 205 |
| 10 | 5602 | 205 |
| 11 | 5782 | 205 |
| 12 | 5950 | 202 |
| 13 | 6478 | 202 |
| 14 | 7029 | 202 |
| 15 | 7383 | 202 |
| 16 | 7553 | 202 |
| 17 | 7884 | 202 |
| 18 | 7892 | 202 |
| 19 | 7916 | 202 |
| 20 | 7916 | 202 |
| 0 | 8108 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(cos.f64 a) |
(*.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))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(neg.f64 r) |
r |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a) (neg.f64 (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
b |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
#s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(cos.f64 a) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(neg.f64 (sin.f64 b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(neg.f64 r) |
r |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23828125 | (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)) | |
| accuracy | 0.23828125 | (*.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))) | |
| accuracy | 0.25 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) | |
| accuracy | 13.348587417866959 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.0703125 | (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) | |
| accuracy | 0.109375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.27734375 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| accuracy | 31.172220241573978 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) | |
| accuracy | 0.00390625 | (sin.f64 b) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| accuracy | 0.244472509768442 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.348587417866959 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.09375 | (*.f64 (/.f64 r (cos.f64 a)) b) | |
| accuracy | 0.140625 | (/.f64 r (cos.f64 a)) | |
| accuracy | 31.599110471236603 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| accuracy | 0.0703125 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.109375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.12388377155338329 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.27734375 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 125.0ms | 186× | 1 | valid |
| 19.0ms | 70× | 0 | valid |
Compiled 416 to 67 computations (83.9% saved)
ival-cos: 22.0ms (20.5% of total)ival-div: 18.0ms (16.8% of total)ival-sin: 17.0ms (15.9% of total)ival-mult: 16.0ms (14.9% of total)ival-pow: 16.0ms (14.9% of total)adjust: 9.0ms (8.4% of total)ival-add: 5.0ms (4.7% of total)ival-neg: 3.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(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) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.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)) |
(/ r (cos a)) |
(* -1 (/ r (cos (+ a b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(* (cos a) (cos b)) |
(+ (cos a) (* -1 (* b (sin a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ b (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)))) |
(+ (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) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(+ (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))))))) |
(sin b) |
(* -1 (sin b)) |
(/ -1 (sin b)) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | b | @ | -inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1) (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1)) (/ -1 (sin b)) (* (cos b) (cos a)) (+ (* (neg b) (sin a)) (cos a))) |
| 6.0ms | a | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1) (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1)) (/ -1 (sin b)) (* (cos b) (cos a)) (+ (* (neg b) (sin a)) (cos a))) |
| 6.0ms | r | @ | 0 | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1) (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1)) (/ -1 (sin b)) (* (cos b) (cos a)) (+ (* (neg b) (sin a)) (cos a))) |
| 5.0ms | a | @ | inf | ((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1) (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1)) (/ -1 (sin b)) (* (cos b) (cos a)) (+ (* (neg b) (sin a)) (cos 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) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1) (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ a b)) (neg r)) -1)) (/ -1 (sin b)) (* (cos b) (cos a)) (+ (* (neg b) (sin a)) (cos a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 454 | 1803 |
| 1 | 1451 | 1680 |
| 2 | 4685 | 1652 |
| 0 | 8080 | 1545 |
| 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 (cos (+ a b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos a) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(* (cos a) (cos b)) |
(+ (cos a) (* -1 (* b (sin a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ b (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)))) |
(+ (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) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(+ (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))))))) |
(sin b) |
(* -1 (sin b)) |
(/ -1 (sin b)) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.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 (cos (+ a b)))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b))))) a)) a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(* b r) |
(*.f64 b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 b r)) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) r)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(* -1 (/ r (cos b))) |
(/.f64 (neg.f64 r) (cos.f64 b)) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(neg.f64 (fma.f64 (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 r (cos.f64 b)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (neg.f64 r) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) a)) a (/.f64 (neg.f64 r) (cos.f64 b))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(fma.f64 (fma.f64 (neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) r (*.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) r (fma.f64 (fma.f64 (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b))) a (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)))) a)) a (/.f64 (neg.f64 r) (cos.f64 b))) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))))) |
(+ 1 (* -1 (* a b))) |
(-.f64 #s(literal 1 binary64) (*.f64 a b)) |
(+ 1 (* a (+ (* -1 b) (* -1/2 a)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64)) |
(+ (* -1 (* (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) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (neg.f64 b) (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ 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) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ 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 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* -1 b) |
(neg.f64 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(*.f64 (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)) (*.f64 b b) #s(literal -1 binary64)) b) |
(* -1 (/ r (cos a))) |
(/.f64 (neg.f64 r) (cos.f64 a)) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(neg.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(fma.f64 (fma.f64 (neg.f64 r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 (neg.f64 r) (cos.f64 a))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(fma.f64 (fma.f64 (neg.f64 r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (sin.f64 a) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 (neg.f64 r) (cos.f64 a))) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))))) |
(sin b) |
(sin.f64 b) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
(* b (+ (* -1 (sin a)) (/ (cos a) b))) |
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b))))) |
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 157 |
| 0 | 62 | 171 |
| 1 | 198 | 131 |
| 2 | 1175 | 131 |
| 0 | 8390 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(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) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 r)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 b)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (neg.f64 r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 r)) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (neg.f64 r)) |
(*.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 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) |
(*.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 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.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)) |
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(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) (*.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 a) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 4 binary64)) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 6 binary64)) (pow.f64 (cos.f64 a) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 4 binary64)) (+.f64 (pow.f64 (cos.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 6 binary64)) (pow.f64 (cos.f64 a) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (cos.f64 a) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 9 binary64)) (pow.f64 (cos.f64 a) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 a) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (*.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 a) (cos.f64 a) (+.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 a) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64))) (fma.f64 (cos.f64 a) (cos.f64 a) (+.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64))) (fma.f64 (cos.f64 a) (cos.f64 a) (+.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64))) (fma.f64 (cos.f64 a) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (-.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 a) (+.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)))) (-.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) b) (cos.f64 a)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 a)) (*.f64 (neg.f64 b) (sin.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (neg.f64 b) (sin.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) |
(fma.f64 b (neg.f64 (sin.f64 a)) (cos.f64 a)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (+.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a))))) |
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (fma.f64 (neg.f64 b) (sin.f64 a) (neg.f64 (cos.f64 a)))))) |
(+.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)) |
(+.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))) |
Compiled 16 939 to 2 212 computations (86.9% saved)
62 alts after pruning (59 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 653 | 48 | 701 |
| Fresh | 15 | 11 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 670 | 62 | 732 |
| Status | Accuracy | Program |
|---|---|---|
| 33.7% | (pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) | |
| 39.5% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 78.2% | (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) | |
| ▶ | 19.5% | (/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
| 64.3% | (/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (*.f64 r r))) (neg.f64 r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 62.4% | (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 78.9% | (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) | |
| 78.8% | (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| 99.4% | (/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 49.1% | (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 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) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 62.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 78.8% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 99.3% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))) | |
| 59.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 62.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 54.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 33.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) | |
| 12.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))) | |
| 50.2% | (/.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))) | |
| 78.8% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| ▶ | 78.8% | (/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
| 49.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) | |
| 50.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 51.6% | (/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b))) | |
| 78.3% | (*.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)))) | |
| 41.4% | (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 99.2% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)))) | |
| 62.0% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ a b)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 b)))) | |
| 38.5% | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) | |
| 99.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| 99.3% | (*.f64 (/.f64 (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)))) | |
| ✓ | 78.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| 59.2% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r) | |
| 51.6% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r) | |
| 78.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r) | |
| 78.7% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 78.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 62.1% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) | |
| 50.5% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) | |
| 39.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 62.1% | #s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) | |
| 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| ▶ | 49.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
| 50.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| 38.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) | |
| ✓ | 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 32.7% | #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)) | |
| 32.7% | #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)) | |
| 32.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| 24.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) | |
| 25.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) | |
| 27.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) | |
| 28.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) | |
| ▶ | 33.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 2 465 to 1 818 computations (26.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| cost-diff | 64 | (fma.f64 r r #s(literal 0 binary64)) | |
| cost-diff | 192 | (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64))) | |
| cost-diff | 7744 | (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 b)) | |
| cost-diff | 0 | (neg.f64 r) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| cost-diff | 640 | (/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 0 | (/.f64 (cos.f64 a) r) | |
| cost-diff | 0 | (/.f64 (/.f64 (cos.f64 a) r) b) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)) | |
| cost-diff | 0 | (*.f64 b r) | |
| cost-diff | 0 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 285 |
| 0 | 83 | 266 |
| 1 | 149 | 256 |
| 2 | 341 | 248 |
| 3 | 1356 | 242 |
| 4 | 4655 | 242 |
| 5 | 6120 | 242 |
| 6 | 7235 | 242 |
| 7 | 7823 | 242 |
| 0 | 8011 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(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 |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (cos.f64 a) r) b) |
(/.f64 (cos.f64 a) r) |
(cos.f64 a) |
a |
r |
b |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 r) |
r |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) |
(*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) |
(sin.f64 b) |
b |
(neg.f64 (pow.f64 r #s(literal 3 binary64))) |
(pow.f64 r #s(literal 3 binary64)) |
r |
#s(literal 3 binary64) |
(*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64))) |
#s(literal -1 binary64) |
(fma.f64 r r #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(cos.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(sin.f64 b) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(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 |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (cos.f64 a) r) b) |
(/.f64 (cos.f64 a) r) |
(cos.f64 a) |
a |
r |
b |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(neg.f64 r) |
r |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (neg.f64 r) #s(literal 3 binary64)) (sin.f64 b)) |
(sin.f64 b) |
b |
(neg.f64 (pow.f64 r #s(literal 3 binary64))) |
(pow.f64 (neg.f64 r) #s(literal 3 binary64)) |
(pow.f64 r #s(literal 3 binary64)) |
r |
#s(literal 3 binary64) |
(*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64))) |
(*.f64 (neg.f64 r) r) |
#s(literal -1 binary64) |
(fma.f64 r r #s(literal 0 binary64)) |
(*.f64 r r) |
#s(literal 0 binary64) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(cos.f64 a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.27734375 | (/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| accuracy | 2.4922687463347324 | (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) | |
| accuracy | 31.172220241573978 | #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) | |
| accuracy | 37.26662474073903 | (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) | |
| accuracy | 0.09765625 | (/.f64 #s(literal -1 binary64) (sin.f64 b)) | |
| accuracy | 0.20703125 | (/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.270195019536884 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.348587417866959 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.1171875 | (/.f64 (cos.f64 a) r) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 (cos.f64 a) r) b) | |
| accuracy | 0.4738298813412755 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)) | |
| accuracy | 31.599110471236603 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) | |
| accuracy | 0 | (*.f64 b r) | |
| accuracy | 22.558806197944715 | #s(approx (* (/ r (cos a)) b) (*.f64 b r)) | |
| accuracy | 31.599110471236603 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) | |
| accuracy | 0.109375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.12388377155338329 | (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| accuracy | 0.27734375 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 127.0ms | 187× | 1 | valid |
| 20.0ms | 69× | 0 | valid |
Compiled 539 to 94 computations (82.6% saved)
ival-div: 24.0ms (21% of total)ival-cos: 21.0ms (18.4% of total)ival-mult: 20.0ms (17.5% of total)ival-sin: 17.0ms (14.9% of total)adjust: 11.0ms (9.6% of total)ival-pow: 9.0ms (7.9% of total)ival-add: 6.0ms (5.3% of total)ival-neg: 4.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (/.f64 (cos.f64 a) r) b) |
(/.f64 (cos.f64 a) r) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(neg.f64 r) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64))) |
(fma.f64 r r #s(literal 0 binary64)) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos.f64 (+.f64 a b)) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #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)) |
(* b r) |
(/ (cos a) (* b r)) |
(/ (cos a) r) |
(* -1 r) |
(* -1 (pow r 2)) |
(pow r 2) |
(* -1 (* (pow r 3) (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))) |
(+ (* 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 (* b r)) |
(+ (* -1/2 (/ (pow a 2) (* b r))) (/ 1 (* b r))) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) (* b r))) (* 1/2 (/ 1 (* b r))))) (/ 1 (* b r))) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) (* b r))) (* 1/24 (/ 1 (* b r))))) (* 1/2 (/ 1 (* b r))))) (/ 1 (* b r))) |
(/ 1 r) |
(+ (* -1/2 (/ (pow a 2) r)) (/ 1 r)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) r)) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) r)) (* 1/24 (/ 1 r)))) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(* -1 (/ (cos b) (sin b))) |
(+ a (* -1 (/ (cos b) (sin b)))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* 1/2 (/ (* a (cos b)) (sin b)))))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* a (+ (* -1/6 a) (* 1/2 (/ (cos b) (sin 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)))))))) |
(+ (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 (+ a b)) (sin b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(cos (- b (* -1 a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* -1 (/ (cos a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* -1 (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))))))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) b) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(* -1 (* b (pow r 3))) |
(* b (+ (* -1 (pow r 3)) (* 1/6 (* (pow b 2) (pow r 3))))) |
(* b (+ (* -1 (pow r 3)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (pow r 3))) (* 1/6 (pow r 3)))))) |
(* b (+ (* -1 (pow r 3)) (* (pow b 2) (+ (* 1/6 (pow r 3)) (* (pow b 2) (+ (* -1/120 (pow r 3)) (* 1/5040 (* (pow b 2) (pow r 3))))))))) |
(sin b) |
(/ -1 (sin b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(cos (- a (* -1 b))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | r | @ | -inf | ((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ 1 (/ (/ (cos a) r) b)) (/ (* r (sin b)) (cos (+ a b))) (/ (/ (cos a) r) b) (/ (cos a) r) (/ (neg r) (* (/ -1 (sin b)) (cos (+ a b)))) (* (/ -1 (sin b)) (cos (+ a b))) (neg r) (/ -1 (sin b)) (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (* -1 (+ (* r r) 0)) (+ (* r r) 0) (/ (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (cos (+ a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos (+ a b)) (cos (+ a b)) (* (sin b) (neg (pow r 3)))) |
| 5.0ms | r | @ | inf | ((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ 1 (/ (/ (cos a) r) b)) (/ (* r (sin b)) (cos (+ a b))) (/ (/ (cos a) r) b) (/ (cos a) r) (/ (neg r) (* (/ -1 (sin b)) (cos (+ a b)))) (* (/ -1 (sin b)) (cos (+ a b))) (neg r) (/ -1 (sin b)) (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (* -1 (+ (* r r) 0)) (+ (* r r) 0) (/ (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (cos (+ a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos (+ a b)) (cos (+ a b)) (* (sin b) (neg (pow r 3)))) |
| 5.0ms | r | @ | 0 | ((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ 1 (/ (/ (cos a) r) b)) (/ (* r (sin b)) (cos (+ a b))) (/ (/ (cos a) r) b) (/ (cos a) r) (/ (neg r) (* (/ -1 (sin b)) (cos (+ a b)))) (* (/ -1 (sin b)) (cos (+ a b))) (neg r) (/ -1 (sin b)) (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (* -1 (+ (* r r) 0)) (+ (* r r) 0) (/ (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (cos (+ a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos (+ a b)) (cos (+ a b)) (* (sin b) (neg (pow r 3)))) |
| 4.0ms | b | @ | -inf | ((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ 1 (/ (/ (cos a) r) b)) (/ (* r (sin b)) (cos (+ a b))) (/ (/ (cos a) r) b) (/ (cos a) r) (/ (neg r) (* (/ -1 (sin b)) (cos (+ a b)))) (* (/ -1 (sin b)) (cos (+ a b))) (neg r) (/ -1 (sin b)) (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (* -1 (+ (* r r) 0)) (+ (* r r) 0) (/ (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (cos (+ a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos (+ a b)) (cos (+ a b)) (* (sin b) (neg (pow r 3)))) |
| 4.0ms | b | @ | inf | ((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ 1 (/ (/ (cos a) r) b)) (/ (* r (sin b)) (cos (+ a b))) (/ (/ (cos a) r) b) (/ (cos a) r) (/ (neg r) (* (/ -1 (sin b)) (cos (+ a b)))) (* (/ -1 (sin b)) (cos (+ a b))) (neg r) (/ -1 (sin b)) (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (* -1 (+ (* r r) 0)) (+ (* r r) 0) (/ (/ (* (sin b) (neg (pow r 3))) (* -1 (+ (* r r) 0))) (cos (+ a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos (+ a b)) (cos (+ a b)) (* (sin b) (neg (pow r 3)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 346 | 1234 |
| 1 | 1078 | 1165 |
| 2 | 3431 | 1098 |
| 0 | 8238 | 1026 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b r) |
(/ (cos a) (* b r)) |
(/ (cos a) r) |
(* -1 r) |
(* -1 (pow r 2)) |
(pow r 2) |
(* -1 (* (pow r 3) (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))) |
(+ (* 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 (* b r)) |
(+ (* -1/2 (/ (pow a 2) (* b r))) (/ 1 (* b r))) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) (* b r))) (* 1/2 (/ 1 (* b r))))) (/ 1 (* b r))) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) (* b r))) (* 1/24 (/ 1 (* b r))))) (* 1/2 (/ 1 (* b r))))) (/ 1 (* b r))) |
(/ 1 r) |
(+ (* -1/2 (/ (pow a 2) r)) (/ 1 r)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) r)) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) r)) (* 1/24 (/ 1 r)))) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(* -1 (/ (cos b) (sin b))) |
(+ a (* -1 (/ (cos b) (sin b)))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* 1/2 (/ (* a (cos b)) (sin b)))))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* a (+ (* -1/6 a) (* 1/2 (/ (cos b) (sin 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)))))))) |
(+ (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 (+ a b)) (sin b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(cos (- b (* -1 a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* -1 (/ (cos a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* -1 (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))))))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) b) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(* -1 (* b (pow r 3))) |
(* b (+ (* -1 (pow r 3)) (* 1/6 (* (pow b 2) (pow r 3))))) |
(* b (+ (* -1 (pow r 3)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (pow r 3))) (* 1/6 (pow r 3)))))) |
(* b (+ (* -1 (pow r 3)) (* (pow b 2) (+ (* 1/6 (pow r 3)) (* (pow b 2) (+ (* -1/120 (pow r 3)) (* 1/5040 (* (pow b 2) (pow r 3))))))))) |
(sin b) |
(/ -1 (sin b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b r) |
(*.f64 r b) |
(/ (cos a) (* b r)) |
(/.f64 (/.f64 (cos.f64 a) b) r) |
(/ (cos a) r) |
(/.f64 (cos.f64 a) r) |
(* -1 r) |
(neg.f64 r) |
(* -1 (pow r 2)) |
(*.f64 (neg.f64 r) r) |
(pow r 2) |
(*.f64 r r) |
(* -1 (* (pow r 3) (sin b))) |
(*.f64 (neg.f64 (pow.f64 r #s(literal 3 binary64))) (sin.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (*.f64 r (-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 (fma.f64 r (-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (-.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a)) |
(+ (* 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 r b)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 r b) (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)))) (*.f64 a a) (*.f64 r b)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)) |
(/ 1 (* b r)) |
(/.f64 #s(literal 1 binary64) (*.f64 r b)) |
(+ (* -1/2 (/ (pow a 2) (* b r))) (/ 1 (* b r))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) (* b r))) (* 1/2 (/ 1 (* b r))))) (/ 1 (* b r))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r b)) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) (* b r))) (* 1/24 (/ 1 (* b r))))) (* 1/2 (/ 1 (* b r))))) (/ 1 (* b r))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 a r) (/.f64 a b)) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) r) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 r b))) |
(/ 1 r) |
(/.f64 #s(literal 1 binary64) r) |
(+ (* -1/2 (/ (pow a 2) r)) (/ 1 r)) |
(fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) r)) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) r)) (* 1/24 (/ 1 r)))) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r)) |
(* -1 (/ (cos b) (sin b))) |
(/.f64 (neg.f64 (cos.f64 b)) (sin.f64 b)) |
(+ a (* -1 (/ (cos b) (sin b)))) |
(-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* 1/2 (/ (* a (cos b)) (sin b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal 1 binary64)) a (/.f64 (neg.f64 (cos.f64 b)) (sin.f64 b))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* a (+ (* -1/6 a) (* 1/2 (/ (cos b) (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) a)) a #s(literal 1 binary64)) a (/.f64 (neg.f64 (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 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(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))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) b) b (*.f64 #s(literal -1/6 binary64) r)) (*.f64 r b)) |
(* -1 (/ (cos a) b)) |
(/.f64 (cos.f64 a) (neg.f64 b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/.f64 (fma.f64 (sin.f64 a) b (neg.f64 (cos.f64 a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* -1 (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))))))) b) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal 1/3 binary64) (sin.f64 a)) b (neg.f64 (cos.f64 a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 a) (*.f64 (*.f64 (neg.f64 b) b) (fma.f64 (cos.f64 a) #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) (cos.f64 a))))) b (sin.f64 a)) b (neg.f64 (cos.f64 a))) b) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 b b) #s(literal -7/360 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* -1 (* b (pow r 3))) |
(*.f64 (neg.f64 b) (pow.f64 r #s(literal 3 binary64))) |
(* b (+ (* -1 (pow r 3)) (* 1/6 (* (pow b 2) (pow r 3))))) |
(*.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) b) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) |
(* b (+ (* -1 (pow r 3)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (pow r 3))) (* 1/6 (pow r 3)))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) b) |
(* b (+ (* -1 (pow r 3)) (* (pow b 2) (+ (* 1/6 (pow r 3)) (* (pow b 2) (+ (* -1/120 (pow r 3)) (* 1/5040 (* (pow b 2) (pow r 3))))))))) |
(*.f64 (fma.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b) |
(sin b) |
(sin.f64 b) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 217 |
| 0 | 83 | 205 |
| 1 | 290 | 166 |
| 2 | 1891 | 160 |
| 0 | 8673 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (* (/ r (cos a)) b) (*.f64 b r)) |
(*.f64 b r) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(/.f64 (/.f64 (cos.f64 a) r) b) |
(/.f64 (cos.f64 a) r) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(neg.f64 r) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64))) |
(fma.f64 r r #s(literal 0 binary64)) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos.f64 (+.f64 a b)) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) |
(*.f64 (sin.f64 b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 b)) |
(pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 b) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (sin.f64 b) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (sqrt.f64 (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (sin.f64 b))) |
(sin.f64 b) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b))) |
(exp.f64 (log.f64 (sin.f64 b))) |
(*.f64 (/.f64 (*.f64 r (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)))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (neg.f64 r)) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 r (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) #s(literal -1 binary64))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
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(sin.f64 b) |
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(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
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#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
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(/.f64 (/.f64 (cos.f64 a) b) r) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (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 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (sin.f64 b)) (+.f64 (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) #s(literal -1 binary64)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(*.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(/.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (neg.f64 (pow.f64 r #s(literal 3 binary64))) (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (pow.f64 r #s(literal 3 binary64))) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b))) |
(*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b)) (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b)) (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b)))))) |
(/.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 r #s(literal 3 binary64))) (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 r #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b)))) |
(neg.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 r #s(literal 3 binary64)) (sin.f64 b))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 r #s(literal 3 binary64))) (sin.f64 b))) |
Compiled 16 227 to 2 192 computations (86.5% saved)
71 alts after pruning (66 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 608 | 31 | 639 |
| Fresh | 19 | 35 | 54 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 630 | 71 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| 33.7% | (pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) | |
| 39.5% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 64.3% | (/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (*.f64 r r))) (neg.f64 r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 62.4% | (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.4% | (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 20.0% | (/.f64 (/.f64 #s(approx (* (sin b) (neg (pow r 3))) (*.f64 (neg.f64 b) (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 54.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (neg.f64 r) r))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) | |
| 98.9% | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 35.8% | (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 r r) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 49.1% | (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 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) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 62.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 49.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 86.7% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a)) (*.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 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a))))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) | |
| 78.8% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 62.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 54.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) | |
| 33.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) | |
| 12.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))) | |
| 50.2% | (/.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))) | |
| ▶ | 78.8% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
| ✓ | 78.8% | (/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
| 50.6% | (/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 50.8% | (/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 50.4% | (/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| 53.9% | (/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (sin.f64 a) b (neg.f64 (cos.f64 a))) b))) | |
| 62.0% | (/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (cos.f64 b)) (sin.f64 b)))) | |
| 50.5% | (/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) | |
| 59.4% | (/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))) | |
| 50.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 78.3% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r))) | |
| 78.3% | (*.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)))) | |
| 41.4% | (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) | |
| ▶ | 38.5% | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) |
| 99.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| ✓ | 78.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| 78.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r) | |
| 78.7% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 78.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 62.1% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) | |
| 50.5% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) | |
| 39.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 62.1% | #s(approx (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) | |
| ▶ | 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
| 32.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) | |
| 32.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) | |
| 32.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) | |
| 33.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) | |
| 50.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) | |
| 49.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) | |
| 25.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) | |
| 33.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) | |
| 38.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) | |
| ✓ | 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 32.7% | #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)) | |
| 32.7% | #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)) | |
| 32.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| 24.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) | |
| 25.2% | #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)) | |
| 28.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) | |
| ▶ | 28.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)))) |
| ✓ | 33.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Compiled 3 011 to 2 199 computations (27% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) | |
| cost-diff | 5824 | (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) | |
| cost-diff | 8000 | (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 a b)) r) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 384 | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 (cos.f64 a) r) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| cost-diff | 384 | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) | |
| cost-diff | 0 | #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 1408 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 254 |
| 0 | 69 | 226 |
| 1 | 110 | 220 |
| 2 | 177 | 220 |
| 3 | 359 | 220 |
| 4 | 814 | 220 |
| 5 | 1796 | 220 |
| 6 | 3452 | 220 |
| 7 | 5702 | 220 |
| 8 | 7288 | 220 |
| 9 | 7636 | 220 |
| 10 | 7811 | 220 |
| 11 | 7881 | 220 |
| 0 | 8044 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
b |
(/.f64 (cos.f64 a) r) |
(cos.f64 a) |
a |
r |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(sin.f64 b) |
b |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) |
(sin.f64 b) |
b |
#s(literal 1/2 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(sin.f64 b) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) r) b))) |
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))) |
#s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) r) b)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) r) b) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 r b) |
(*.f64 b r) |
r |
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 r (cos.f64 a)) b)) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
b |
(/.f64 (cos.f64 a) r) |
(cos.f64 a) |
a |
r |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(sin.f64 b) |
b |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) |
(sin.f64 b) |
(pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) |
(sqrt.f64 (sin.f64 b)) |
(sin.f64 b) |
b |
#s(literal 1/2 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) | |
| accuracy | 0.11947250976844202 | (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.26791000976844204 | (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) | |
| accuracy | 6.9250076404373875 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.00390625 | (sin.f64 b) | |
| accuracy | 0.12109375 | (/.f64 (cos.f64 (+.f64 a b)) r) | |
| accuracy | 0.15625 | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| accuracy | 6.9250076404373875 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.078125 | (/.f64 (cos.f64 a) r) | |
| accuracy | 0.09375 | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| accuracy | 16.86780363309819 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 1.9160475569108861 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) | |
| accuracy | 13.78843972713416 | #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))) | |
| accuracy | 16.86780363309819 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)))) | |
| accuracy | 0.06640625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.08091502155338329 | (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.10546875 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| accuracy | 0.15234375 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 51.0ms | 95× | 1 | valid |
| 35.0ms | 129× | 0 | invalid |
| 8.0ms | 32× | 0 | valid |
Compiled 478 to 80 computations (83.3% saved)
ival-mult: 16.0ms (22.9% of total)ival-cos: 16.0ms (22.9% of total)ival-div: 15.0ms (21.4% of total)ival-sin: 11.0ms (15.7% of total)ival-add: 4.0ms (5.7% of total)adjust: 4.0ms (5.7% of total)ival-sqrt: 2.0ms (2.9% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 (cos.f64 a) r) |
(cos.f64 a) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos.f64 (+.f64 a b)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 a 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 (* 1/2 (pow a 2))))) |
(/ (cos a) r) |
(/ (cos (+ a b)) r) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(* 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))))) |
1 |
(+ 1 (* 1/2 (pow a 2))) |
(/ 1 r) |
(+ (* -1/2 (/ (pow a 2) r)) (/ 1 r)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) r)) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) r)) (* 1/24 (/ 1 r)))) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (cos b) r) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r)) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (cos b) (* 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)))))))) |
(pow a 2) |
(* 1/2 (* (pow a 2) (* b r))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(cos a) |
(cos (+ a b)) |
(/ (sin b) (cos (+ a b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) r) |
(cos (- b (* -1 a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r)) |
(+ (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)))) |
(sqrt b) |
(+ (sqrt b) (* -1/12 (sqrt (pow b 5)))) |
(+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* 1/240 (sqrt (pow b 3)))))) |
(+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* (pow b 2) (+ (* -1/288 (sqrt (/ 1 b))) (* 1/240 (sqrt (/ 1 b)))))))) |
(/ 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)))) |
(+ (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)))))))) |
(sin b) |
(sqrt (sin b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) r) |
(cos (- a (* -1 b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | r | @ | 0 | ((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* r b)) (+ (* (* a a) 1/2) 1) (/ b (/ (cos a) r)) (/ (* r (sin b)) (cos (+ a b))) (/ (cos a) r) (cos a) (/ (sin b) (/ (cos (+ a b)) r)) (/ (cos (+ a b)) r) (cos (+ a b)) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) (* (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) r) (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* a a)) |
| 5.0ms | r | @ | -inf | ((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* r b)) (+ (* (* a a) 1/2) 1) (/ b (/ (cos a) r)) (/ (* r (sin b)) (cos (+ a b))) (/ (cos a) r) (cos a) (/ (sin b) (/ (cos (+ a b)) r)) (/ (cos (+ a b)) r) (cos (+ a b)) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) (* (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) r) (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* a a)) |
| 4.0ms | b | @ | inf | ((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* r b)) (+ (* (* a a) 1/2) 1) (/ b (/ (cos a) r)) (/ (* r (sin b)) (cos (+ a b))) (/ (cos a) r) (cos a) (/ (sin b) (/ (cos (+ a b)) r)) (/ (cos (+ a b)) r) (cos (+ a b)) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) (* (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) r) (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* a a)) |
| 4.0ms | r | @ | inf | ((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* r b)) (+ (* (* a a) 1/2) 1) (/ b (/ (cos a) r)) (/ (* r (sin b)) (cos (+ a b))) (/ (cos a) r) (cos a) (/ (sin b) (/ (cos (+ a b)) r)) (/ (cos (+ a b)) r) (cos (+ a b)) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) (* (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) r) (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* a a)) |
| 3.0ms | b | @ | -inf | ((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* r b)) (+ (* (* a a) 1/2) 1) (/ b (/ (cos a) r)) (/ (* r (sin b)) (cos (+ a b))) (/ (cos a) r) (cos a) (/ (sin b) (/ (cos (+ a b)) r)) (/ (cos (+ a b)) r) (cos (+ a b)) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) (* (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) r) (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* a a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 1459 |
| 1 | 1186 | 1380 |
| 2 | 3764 | 1363 |
| 0 | 8540 | 1274 |
| 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 (* 1/2 (pow a 2))))) |
(/ (cos a) r) |
(/ (cos (+ a b)) r) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(* 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))))) |
1 |
(+ 1 (* 1/2 (pow a 2))) |
(/ 1 r) |
(+ (* -1/2 (/ (pow a 2) r)) (/ 1 r)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) r)) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) r)) (* 1/24 (/ 1 r)))) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (cos b) r) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r)) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (cos b) (* 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)))))))) |
(pow a 2) |
(* 1/2 (* (pow a 2) (* b r))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(cos a) |
(cos (+ a b)) |
(/ (sin b) (cos (+ a b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (cos (- b (* -1 a))) r) |
(cos (- b (* -1 a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r)) |
(+ (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)))) |
(sqrt b) |
(+ (sqrt b) (* -1/12 (sqrt (pow b 5)))) |
(+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* 1/240 (sqrt (pow b 3)))))) |
(+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* (pow b 2) (+ (* -1/288 (sqrt (/ 1 b))) (* 1/240 (sqrt (/ 1 b)))))))) |
(/ 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)))) |
(+ (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)))))))) |
(sin b) |
(sqrt (sin b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (cos (- a (* -1 b))) r) |
(cos (- a (* -1 b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b) |
(/ (cos a) r) |
(/.f64 (cos.f64 a) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) #s(literal 1/2 binary64))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) #s(literal 1/2 binary64)))) a)) a)) |
(* b r) |
(*.f64 r b) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 r b)) (*.f64 a a))) (*.f64 a a) (*.f64 r b)) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/ 1 r) |
(/.f64 #s(literal 1 binary64) r) |
(+ (* -1/2 (/ (pow a 2) r)) (/ 1 r)) |
(fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r)) |
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) r)) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r)) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) r)) (* 1/24 (/ 1 r)))) (* 1/2 (/ 1 r)))) (/ 1 r)) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r)) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(/ (cos b) r) |
(/.f64 (cos.f64 b) r) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
(fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) r) (/.f64 (sin.f64 b) (neg.f64 r))) a (/.f64 (cos.f64 b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) a) r) #s(literal 1/6 binary64) (*.f64 (/.f64 (cos.f64 b) r) #s(literal -1/2 binary64))) a (/.f64 (sin.f64 b) (neg.f64 r))) a (/.f64 (cos.f64 b) r)) |
(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 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(pow a 2) |
(*.f64 a a) |
(* 1/2 (* (pow a 2) (* b r))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (/.f64 r a) (/.f64 b a))) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/2 binary64)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(cos a) |
(cos.f64 a) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (cos (- b (* -1 a))) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) b) b (*.f64 #s(literal -1/6 binary64) r)) (*.f64 r b)) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
(fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (cos.f64 a) r) (/.f64 (sin.f64 a) (neg.f64 r))) b (/.f64 (cos.f64 a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) b) r) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 a) r))) b (/.f64 (sin.f64 a) (neg.f64 r))) b (/.f64 (cos.f64 a) r)) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(sqrt b) |
(sqrt.f64 b) |
(+ (sqrt b) (* -1/12 (sqrt (pow b 5)))) |
(fma.f64 (sqrt.f64 (pow.f64 b #s(literal 5 binary64))) #s(literal -1/12 binary64) (sqrt.f64 b)) |
(+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* 1/240 (sqrt (pow b 3)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1/12 binary64))) (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 b)) |
(+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* (pow b 2) (+ (* -1/288 (sqrt (/ 1 b))) (* 1/240 (sqrt (/ 1 b)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) #s(literal 1/1440 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1/12 binary64))) (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 b)) |
(/ 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 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(sin b) |
(sin.f64 b) |
(sqrt (sin b)) |
(sqrt.f64 (sin.f64 b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (cos (- a (* -1 b))) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 200 |
| 0 | 69 | 199 |
| 1 | 224 | 152 |
| 2 | 1272 | 152 |
| 0 | 8889 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(/.f64 (cos.f64 a) r) |
(cos.f64 a) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos.f64 (+.f64 a b)) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 a a) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/8 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal 3/4 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 b) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sin.f64 b)))) (sqrt.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 b)))) (sqrt.f64 (sin.f64 b))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (neg.f64 (sqrt.f64 (sin.f64 b)))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 b))))) |
(*.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b))) |
(*.f64 #s(literal 1 binary64) (sin.f64 b)) |
(*.f64 (sin.f64 b) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 b) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (sin.f64 b) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(neg.f64 (neg.f64 (sin.f64 b))) |
(sin.f64 b) |
(sqrt.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b))) |
(fabs.f64 (sin.f64 b)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (sin.f64 b))) |
(*.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) r) |
(*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (sqrt.f64 (sin.f64 b))) (*.f64 (sqrt.f64 (sin.f64 b)) r)) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 3/4 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 b) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 (sin.f64 b))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (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))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 r (sqrt.f64 (sin.f64 b)))) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.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 r (/.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))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 r (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) (sqrt.f64 (sin.f64 b))) |
(*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.f64 (/.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)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.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)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.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 (*.f64 (sqrt.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (sqrt.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 (*.f64 (sqrt.f64 (sin.f64 b)) r) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r (-.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) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (pow.f64 r #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (pow.f64 r #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 r #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (*.f64 r (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)))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 (*.f64 r (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 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (-.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 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (pow.f64 r #s(literal -1 binary64)))) |
(*.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 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (sin.f64 a) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (sin.f64 a))) (/.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (neg.f64 (neg.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)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (sin.f64 a) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 b))) (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (sin.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.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 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sqrt.f64 (sin.f64 b)))) (sqrt.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))) (neg.f64 (sqrt.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal 3/4 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 b) #s(literal 3/4 binary64)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (neg.f64 (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))) |
(-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.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)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
Compiled 23 200 to 2 818 computations (87.9% saved)
82 alts after pruning (75 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 798 | 25 | 823 |
| Fresh | 11 | 50 | 61 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 812 | 82 | 894 |
| Status | Accuracy | Program |
|---|---|---|
| 33.7% | (pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) | |
| 39.5% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) | |
| 64.3% | (/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (*.f64 r r))) (neg.f64 r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.4% | (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 20.0% | (/.f64 (/.f64 #s(approx (* (sin b) (neg (pow r 3))) (*.f64 (neg.f64 b) (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) | |
| 54.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (neg.f64 r) r))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) | |
| 98.9% | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 35.8% | (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 r r) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 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) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 62.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| 99.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) | |
| 62.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| 54.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) | |
| 33.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) | |
| 12.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))) | |
| 50.2% | (/.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 (sin.f64 b) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 r #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r))) | |
| 99.4% | (/.f64 (sin.f64 b) (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) r)) | |
| 66.2% | (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (*.f64 r (*.f64 (sin.f64 a) (sin.f64 b)))) (*.f64 r r))) | |
| 99.4% | (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r)) | |
| 62.1% | (/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r)) | |
| 99.4% | (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r))) | |
| 78.8% | (/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))) | |
| 48.0% | (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)))) | |
| 59.5% | (/.f64 (sin.f64 b) #s(approx (/ (cos (+ a b)) r) (fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) r)))) | |
| ✓ | 78.8% | (/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
| 50.6% | (/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 50.8% | (/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 50.4% | (/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| 53.9% | (/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (sin.f64 a) b (neg.f64 (cos.f64 a))) b))) | |
| 62.0% | (/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (cos.f64 b)) (sin.f64 b)))) | |
| 59.4% | (/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))) | |
| 50.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) | |
| 78.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 78.3% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) | |
| 78.3% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r))) | |
| 78.3% | (*.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)))) | |
| 41.4% | (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 49.1% | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r) | |
| 49.0% | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) r) | |
| 38.5% | (*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b)))) r) | |
| ✓ | 78.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| 78.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r) | |
| 78.7% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 78.8% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) | |
| 38.5% | (*.f64 (*.f64 r (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) (sqrt.f64 (sin.f64 b))) | |
| 62.1% | (*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) | |
| 50.5% | (*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) | |
| 39.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 62.1% | #s(approx (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) | |
| 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 r (/.f64 (cos.f64 a) b))) | |
| ✓ | 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r))) |
| 32.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) | |
| 26.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) | |
| 32.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) | |
| 33.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) | |
| 32.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) | |
| 32.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) | |
| 32.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) | |
| 33.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) | |
| 50.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) | |
| 49.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) | |
| 25.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) | |
| 33.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) | |
| ✓ | 50.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| 32.7% | #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)) | |
| 32.7% | #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)) | |
| 32.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) | |
| 24.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) | |
| 28.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) | |
| 12.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) | |
| 25.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) | |
| 15.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) | |
| ✓ | 33.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| 12.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
Compiled 4 811 to 1 918 computations (60.1% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.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 r (/.f64 (cos.f64 a) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (cos.f64 b)) (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 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (sin.f64 a) b (neg.f64 (cos.f64 a))) b))) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (neg.f64 r) r))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ a b)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (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 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(/.f64 (sin.f64 b) #s(approx (/ (cos (+ a b)) r) (fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) r)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (*.f64 r (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) (sqrt.f64 (sin.f64 b))) |
(/.f64 (/.f64 #s(approx (* (sin b) (neg (pow r 3))) (*.f64 (neg.f64 b) (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b)))) r) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (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)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))) #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 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r) |
(/.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)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) r)) |
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) r)) |
(/.f64 (*.f64 r (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 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (*.f64 r r))) (neg.f64 r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r) (*.f64 r (*.f64 (sin.f64 a) (sin.f64 b)))) (*.f64 r r))) |
(/.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)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (sin.f64 b) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 r #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 r r) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a)) (*.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 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) r) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)))) |
(/.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))))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
4 calls:
| 33.0ms | a |
| 32.0ms | b |
| 32.0ms | r |
| 32.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a 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))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.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 r (/.f64 (cos.f64 a) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (cos.f64 b)) (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 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (sin.f64 a) b (neg.f64 (cos.f64 a))) b))) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (neg.f64 r) r))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ a b)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (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 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(/.f64 (sin.f64 b) #s(approx (/ (cos (+ a b)) r) (fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) r)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (*.f64 r (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) (sqrt.f64 (sin.f64 b))) |
(/.f64 (/.f64 #s(approx (* (sin b) (neg (pow r 3))) (*.f64 (neg.f64 b) (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b)))) r) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (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)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))) #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 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r) |
(/.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)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
4 calls:
| 26.0ms | r |
| 25.0ms | a |
| 25.0ms | b |
| 25.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a 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))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.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 r (/.f64 (cos.f64 a) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (cos.f64 b)) (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 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (sin.f64 a) b (neg.f64 (cos.f64 a))) b))) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (neg.f64 r) r))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ a b)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (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 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) |
(/.f64 (sin.f64 b) #s(approx (/ (cos (+ a b)) r) (fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) r)))) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (*.f64 r (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) (sqrt.f64 (sin.f64 b))) |
(/.f64 (/.f64 #s(approx (* (sin b) (neg (pow r 3))) (*.f64 (neg.f64 b) (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 (sin.f64 b)))) r) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 (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)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 a b)))) #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 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r) |
(/.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)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 (pow.f64 r #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 r r #s(literal 0 binary64)))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (cos.f64 (+.f64 a b))) r) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
4 calls:
| 26.0ms | a |
| 26.0ms | b |
| 26.0ms | r |
| 25.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 1 | r |
| 78.9% | 1 | a |
| 78.9% | 1 | b |
| 78.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.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 r (/.f64 (cos.f64 a) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
4 calls:
| 14.0ms | a |
| 14.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 14.0ms | r |
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 1 | r |
| 78.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 78.9% | 1 | a |
| 78.9% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.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 r (/.f64 (cos.f64 a) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) |
4 calls:
| 14.0ms | b |
| 13.0ms | r |
| 13.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 13.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 1 | r |
| 62.1% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 78.6% | 3 | a |
| 79.1% | 3 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.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 r (/.f64 (cos.f64 a) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 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))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.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 r (/.f64 (cos.f64 a) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 a) b))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) r) #s(literal -1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
| Outputs |
|---|
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
4 calls:
| 11.0ms | r |
| 11.0ms | b |
| 11.0ms | a |
| 11.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 50.8% | 1 | r |
| 50.8% | 1 | a |
| 50.8% | 1 | b |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(*.f64 #s(approx (/ (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
(/.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 r (/.f64 (cos.f64 a) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) |
(/.f64 (neg.f64 r) #s(approx (* (/ -1 (sin b)) (cos (+ a b))) (/.f64 (cos.f64 a) (neg.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) b)) (cos.f64 (+.f64 a b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r r)) #s(literal 1 binary64)) (*.f64 r (neg.f64 (cos.f64 a)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 a) r) (neg.f64 b))))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
4 calls:
| 10.0ms | a |
| 10.0ms | b |
| 10.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 10.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | r |
| 50.5% | 1 | b |
| 50.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 50.5% | 1 | a |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
4 calls:
| 7.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 7.0ms | b |
| 7.0ms | a |
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | r |
| 50.5% | 1 | b |
| 50.5% | 1 | a |
| 50.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
Total -20.3b remaining (-47.7%)
Threshold costs -20.3b (-47.7%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* r b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r 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 b #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (/.f64 #s(literal 1 binary64) (*.f64 r b))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (/.f64 #s(literal 1 binary64) r)) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 (*.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (/.f64 (*.f64 a a) r) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (cos a) r) b) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) r) (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) r) a) a (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) r) b (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 r b))) (*.f64 a a))) (*.f64 a a) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) a #s(literal -1/2 binary64))) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos a) r) (fma.f64 (fma.f64 (/.f64 (*.f64 a a) r) (fma.f64 (*.f64 #s(literal -1/720 binary64) a) a #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) r)) (*.f64 a a) (/.f64 #s(literal 1 binary64) r))) b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 a a)) (*.f64 r b))))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
4 calls:
| 6.0ms | b |
| 6.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 6.0ms | a |
| 6.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.6% | 1 | r |
| 33.6% | 1 | b |
| 33.6% | 1 | a |
| 33.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.4578792601158134e-30 | 1.8233514085031105e-7 |
| 22.0ms | -731081.5217753582 | -8.573173655075144e-16 |
| 20.0ms | 168× | 1 | valid |
| 11.0ms | 184× | 0 | valid |
Compiled 650 to 564 computations (13.2% saved)
ival-cos: 8.0ms (36.7% of total)ival-sin: 4.0ms (18.3% of total)adjust: 3.0ms (13.7% of total)ival-add: 2.0ms (9.2% of total)ival-div: 2.0ms (9.2% of total)ival-mult: 2.0ms (9.2% 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 | 2.4578792601158134e-30 | 1.8233514085031105e-7 |
| 1.0ms | -731081.5217753582 | -8.573173655075144e-16 |
Compiled 694 to 586 computations (15.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 229 |
| 1 | 87 | 229 |
| 2 | 102 | 229 |
| 3 | 119 | 229 |
| 4 | 127 | 229 |
| 5 | 132 | 229 |
| 6 | 134 | 229 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -287769207549869/36893488147419103232 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) (if (<=.f64 b #s(literal 6800207735332289/37778931862957161709568 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r))) |
(if (<=.f64 b #s(literal -287769207549869/36893488147419103232 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 6800207735332289/37778931862957161709568 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.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))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -287769207549869/36893488147419103232 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r) (if (<=.f64 b #s(literal 6800207735332289/37778931862957161709568 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r))) |
(if (<=.f64 b #s(literal -287769207549869/36893488147419103232 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 6800207735332289/37778931862957161709568 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(/.f64 (neg.f64 r) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal -1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.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))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 593 |
| 1 | 517 | 561 |
| 2 | 1600 | 519 |
| 3 | 5430 | 518 |
| 0 | 8316 | 486 |
| 0 | 346 | 1234 |
| 1 | 1078 | 1165 |
| 2 | 3431 | 1098 |
| 0 | 8238 | 1026 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 0 | 454 | 1803 |
| 1 | 1451 | 1680 |
| 2 | 4685 | 1652 |
| 0 | 8080 | 1545 |
| 0 | 35 | 157 |
| 0 | 62 | 171 |
| 1 | 198 | 131 |
| 2 | 1175 | 131 |
| 0 | 8390 | 131 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 488 to 242 computations (50.4% saved)
(negabs r)
Compiled 572 to 218 computations (61.9% saved)
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