
Time bar (total: 3.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 5 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 6 |
| 42.2% | 42.1% | 57.7% | 0.1% | 0% | 0% | 0% | 7 |
| 49.2% | 49.1% | 50.7% | 0.1% | 0% | 0% | 0% | 8 |
| 57.4% | 57.3% | 42.5% | 0.1% | 0% | 0% | 0% | 9 |
| 67% | 66.9% | 33% | 0.1% | 0% | 0% | 0% | 10 |
| 71.8% | 71.7% | 28.2% | 0.1% | 0% | 0% | 0% | 11 |
| 76.9% | 76.8% | 23.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 14 computations (22.2% saved)
| 896.0ms | 8 256× | 0 | valid |
ival-mult!: 263.0ms (39.6% of total)ival-cos: 200.0ms (30.1% of total)ival-pow2: 164.0ms (24.7% of total)ival-div!: 35.0ms (5.3% of total)adjust: 2.0ms (0.3% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 169 |
| 1 | 186 | 163 |
| 2 | 834 | 143 |
| 3 | 5392 | 143 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(abs x)
(abs c)
(abs s)
(sort c s)
Compiled 28 to 24 computations (14.3% saved)
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(pow.f64 c #s(literal 2 binary64)) |
c |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(pow.f64 s #s(literal 2 binary64)) |
s |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2)))) |
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (pow c 2) #s(hole binary64 (pow c 2))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (pow s 2) #s(hole binary64 (pow s 2))) |
#s(approx s #s(hole binary64 s)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 115.0ms | c | @ | -inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
| 4.0ms | c | @ | inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
| 4.0ms | x | @ | -inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
| 4.0ms | x | @ | inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
| 3.0ms | s | @ | -inf | ((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 447 |
| 0 | 92 | 415 |
| 1 | 374 | 351 |
| 0 | 3116 | 339 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(pow.f64 c #s(literal 2 binary64)) |
c |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(pow.f64 s #s(literal 2 binary64)) |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2)))) |
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (pow c 2) #s(hole binary64 (pow c 2))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (pow s 2) #s(hole binary64 (pow s 2))) |
#s(approx s #s(hole binary64 s)) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))) x) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) x))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 (*.f64 (*.f64 s s) x) x)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) |
(neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c)))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(+.f64 (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (+.f64 x x) #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 s s) c) c)) |
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 c c) (*.f64 x x))) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 s s) x) x)) |
(*.f64 c (*.f64 c (*.f64 (*.f64 (*.f64 s s) x) x))) |
(*.f64 x (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))) |
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)) |
(*.f64 (fabs.f64 c) (fabs.f64 c)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
(*.f64 c c) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c c))) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))) |
c |
(*.f64 (*.f64 (*.f64 x x) s) s) |
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (*.f64 s x)) |
(*.f64 (*.f64 s x) (*.f64 s x)) |
(*.f64 (*.f64 x x) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 s s) x) x) |
(*.f64 (*.f64 s s) (*.f64 x x)) |
(*.f64 s (*.f64 s (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 s s) x)) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 s x) s) |
(*.f64 (*.f64 s s) x) |
(*.f64 s (*.f64 s x)) |
(*.f64 x (*.f64 s s)) |
(*.f64 (fabs.f64 s) (fabs.f64 s)) |
(*.f64 (neg.f64 s) (neg.f64 s)) |
(*.f64 (exp.f64 (log.f64 s)) (exp.f64 (log.f64 s))) |
(*.f64 s s) |
(pow.f64 (exp.f64 (log.f64 s)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 s s) #s(literal 1 binary64)) |
(pow.f64 s #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 s #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) x) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) c))) (*.f64 x x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) x) x (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 s s) c) c))) x) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) c))) (*.f64 x x))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (* 2 x) (+.f64 x x)) |
#s(approx x x) |
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) |
#s(approx (* (* x (pow s 2)) x) (*.f64 (*.f64 (*.f64 s s) x) x)) |
#s(approx (* x (pow s 2)) (*.f64 (*.f64 s s) x)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x))) |
#s(approx (pow c 2) (*.f64 c c)) |
#s(approx c c) |
#s(approx (pow s 2) (*.f64 s s)) |
#s(approx s s) |
Compiled 887 to 426 computations (52% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 14 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 98 | 14 | 112 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.0% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
| 64.6% | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | |
| 67.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))) x) | |
| 73.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) | |
| ▶ | 96.8% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
| 96.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) | |
| 72.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) | |
| 68.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x))) | |
| ▶ | 66.9% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
| 66.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))) | |
| ▶ | 48.6% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 60.7% | (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | |
| 45.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) | |
| ▶ | 66.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
Compiled 464 to 398 computations (14.2% saved)
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
s |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) |
(*.f64 (*.f64 (*.f64 s s) x) x) |
(*.f64 (*.f64 s s) x) |
(*.f64 s s) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(*.f64 x x) |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(pow.f64 c #s(literal 2 binary64)) |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(pow.f64 s #s(literal 2 binary64)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) |
(*.f64 (*.f64 c c) x) |
(*.f64 c c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x)))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (* (* (* (* s s) x) x) c) #s(hole binary64 (* c (* (pow s 2) (pow x 2))))) |
#s(approx (* (* (* s s) x) x) #s(hole binary64 (* (pow s 2) (pow x 2)))) |
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (* c c) x) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) x)))) |
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ 1 (* (pow c 2) x)))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2)))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (+ (* -2 (* x x)) 1) #s(hole binary64 (* -2 (pow x 2)))) |
#s(approx (+ (* -2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2)))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) x)))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (/ (cos (* 2 x)) (pow c 2)))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) x)))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (/ (cos (neg (* -2 x))) (pow c 2)))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (pow c 2) #s(hole binary64 (pow c 2))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | c | @ | -inf | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* s s) x) x) c) c)) 1 (* (* (* (* (* s s) x) x) c) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) -2 (* x x) (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (+ x x)) (* c c)) x) (/ (cos (+ x x)) (* c c)) (cos (+ x x)) (+ x x)) |
| 10.0ms | x | @ | -inf | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* s s) x) x) c) c)) 1 (* (* (* (* (* s s) x) x) c) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) -2 (* x x) (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (+ x x)) (* c c)) x) (/ (cos (+ x x)) (* c c)) (cos (+ x x)) (+ x x)) |
| 7.0ms | x | @ | inf | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* s s) x) x) c) c)) 1 (* (* (* (* (* s s) x) x) c) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) -2 (* x x) (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (+ x x)) (* c c)) x) (/ (cos (+ x x)) (* c c)) (cos (+ x x)) (+ x x)) |
| 4.0ms | s | @ | inf | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* s s) x) x) c) c)) 1 (* (* (* (* (* s s) x) x) c) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) -2 (* x x) (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (+ x x)) (* c c)) x) (/ (cos (+ x x)) (* c c)) (cos (+ x x)) (+ x x)) |
| 4.0ms | s | @ | -inf | ((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* s s) x) x) c) c)) 1 (* (* (* (* (* s s) x) x) c) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) -2 (* x x) (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (+ x x)) (* c c)) x) (/ (cos (+ x x)) (* c c)) (cos (+ x x)) (+ x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 1128 |
| 0 | 225 | 993 |
| 0 | 789 | 974 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
s |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) |
(*.f64 (*.f64 (*.f64 s s) x) x) |
(*.f64 (*.f64 s s) x) |
(*.f64 s s) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(*.f64 x x) |
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) |
(pow.f64 c #s(literal 2 binary64)) |
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) |
(*.f64 x (pow.f64 s #s(literal 2 binary64))) |
(pow.f64 s #s(literal 2 binary64)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) |
(*.f64 (*.f64 c c) x) |
(*.f64 c c) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x)))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (* (* (* (* s s) x) x) c) #s(hole binary64 (* c (* (pow s 2) (pow x 2))))) |
#s(approx (* (* (* s s) x) x) #s(hole binary64 (* (pow s 2) (pow x 2)))) |
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (* c c) x) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) x)))) |
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ 1 (* (pow c 2) x)))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2)))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))))) |
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (+ (* -2 (* x x)) 1) #s(hole binary64 (* -2 (pow x 2)))) |
#s(approx (+ (* -2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2)))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) x)))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (/ (cos (* 2 x)) (pow c 2)))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) x)))) |
#s(approx (/ (cos (+ x x)) (* c c)) #s(hole binary64 (/ (cos (neg (* -2 x))) (pow c 2)))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (pow c 2) #s(hole binary64 (pow c 2))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) (*.f64 s s)) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) x) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x))) (neg.f64 (*.f64 (*.f64 s s) x))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 (*.f64 s s) (*.f64 x x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(cos.f64 (neg.f64 (+.f64 x x))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 c c)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 x x)) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) (*.f64 x x))) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64))) |
(*.f64 (*.f64 c s) x) |
(*.f64 (*.f64 s x) c) |
(*.f64 c (*.f64 s x)) |
(*.f64 s (*.f64 x c)) |
(*.f64 s x) |
(*.f64 x s) |
s |
c |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(pow.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x))) c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (*.f64 s s) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 c c)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 x x)) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) (*.f64 x x))) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64))) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 x x)) c) |
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 x c)) |
(*.f64 c (*.f64 (*.f64 s s) (*.f64 x x))) |
(*.f64 (*.f64 s s) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 s s) x) x) |
(*.f64 x (*.f64 (*.f64 s s) x)) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(*.f64 (*.f64 s s) x) |
(*.f64 s (*.f64 s x)) |
(*.f64 x (*.f64 s s)) |
(*.f64 (pow.f64 s #s(literal 1 binary64)) (pow.f64 s #s(literal 1 binary64))) |
(*.f64 (fabs.f64 s) (fabs.f64 s)) |
(*.f64 (neg.f64 s) (neg.f64 s)) |
(*.f64 s s) |
(pow.f64 s #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 c c)) (*.f64 (*.f64 s s) (*.f64 x x))) |
(/.f64 (neg.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
#s(literal -2 binary64) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 c c)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 x x)) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) (*.f64 x x))) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64))) |
(*.f64 (fabs.f64 c) (fabs.f64 c)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 c c) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
(*.f64 (*.f64 s s) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 s s) x) x) |
(*.f64 x (*.f64 (*.f64 s s) x)) |
(pow.f64 (*.f64 s x) #s(literal 2 binary64)) |
(*.f64 (*.f64 s s) x) |
(*.f64 s (*.f64 s x)) |
(*.f64 x (*.f64 s s)) |
(*.f64 (pow.f64 s #s(literal 1 binary64)) (pow.f64 s #s(literal 1 binary64))) |
(*.f64 (fabs.f64 s) (fabs.f64 s)) |
(*.f64 (neg.f64 s) (neg.f64 s)) |
(*.f64 s s) |
(pow.f64 s #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) (*.f64 s s)) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) x) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x))) (neg.f64 (*.f64 (*.f64 s s) x))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 (*.f64 s s) (*.f64 x x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(*.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 c c)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 x x)) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) (*.f64 x x))) |
(*.f64 c (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) |
(*.f64 (*.f64 s s) (*.f64 (*.f64 c c) x)) |
(*.f64 (*.f64 (*.f64 s s) (*.f64 c c)) x) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) x)) |
(*.f64 (*.f64 c c) x) |
(*.f64 c (*.f64 c x)) |
(*.f64 x (*.f64 c c)) |
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64))) |
(*.f64 (fabs.f64 c) (fabs.f64 c)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 c c) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) (*.f64 s s)) x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) x) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x))) (neg.f64 (*.f64 (*.f64 s s) x))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) (*.f64 (*.f64 s s) (*.f64 x x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 c c) x))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) (neg.f64 x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) c) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 c c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) |
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(cos.f64 (neg.f64 (+.f64 x x))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) #s(literal 2/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 2 x) (+.f64 x x)) |
#s(approx x x) |
#s(approx (pow (* (* s x) c) 2) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (* (* s x) c) (*.f64 (*.f64 s x) c)) |
#s(approx (* s x) (*.f64 s x)) |
#s(approx (* (* (* (* s s) x) x) c) (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x))) |
#s(approx (* (* (* s s) x) x) (*.f64 (*.f64 s s) (*.f64 x x))) |
#s(approx (* (* s s) x) (*.f64 (*.f64 s s) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (* (* c c) x) (* s s)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) |
#s(approx (* (* c c) x) (*.f64 (*.f64 c c) x)) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 c c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c c))) x)) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 2 binary64) (*.f64 c c))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 c c))) x)) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (*.f64 c c)) #s(literal -4/45 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 c c)))) (/.f64 #s(literal 2 binary64) (*.f64 c c))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 c c))) x)) |
#s(approx (/ (cos (+ x x)) (* c c)) (/.f64 #s(literal 1 binary64) (*.f64 c c))) |
#s(approx (/ (cos (+ x x)) (* c c)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 c c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) |
#s(approx (/ (cos (+ x x)) (* c c)) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 c c)) (/.f64 #s(literal 2 binary64) (*.f64 c c))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) |
#s(approx (/ (cos (+ x x)) (* c c)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (*.f64 c c)) #s(literal -4/45 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 c c)))) (/.f64 #s(literal 2 binary64) (*.f64 c c))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
#s(approx (+ (* -2 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x))) |
#s(approx (/ (cos (+ x x)) (* c c)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
#s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c c) x))) |
#s(approx (/ (cos (+ x x)) (* c c)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx c c) |
#s(approx (pow c 2) (*.f64 c c)) |
#s(approx s s) |
#s(approx (* s s) (*.f64 s s)) |
Compiled 1 329 to 625 computations (53% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 152 | 15 | 167 |
| Fresh | 3 | 6 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 159 | 22 | 181 |
| Status | Accuracy | Program |
|---|---|---|
| 72.1% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 s (*.f64 s x))) | |
| 67.1% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))) x) | |
| 73.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) | |
| 66.9% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) | |
| ▶ | 96.8% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| 96.6% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) | |
| ▶ | 98.2% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
| 72.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) | |
| ▶ | 73.7% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
| 68.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x))) | |
| 75.4% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c (*.f64 c x)) (*.f64 s s)) x)) | |
| 60.4% | (/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) | |
| 57.4% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) | |
| ▶ | 62.2% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| 60.8% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) | |
| 48.6% | (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | |
| 79.1% | #s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) | |
| 45.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) | |
| ✓ | 66.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
| 65.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) x) x) c) c))) | |
| 74.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) | |
| ▶ | 62.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
Compiled 640 to 620 computations (3.1% saved)
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64)) |
(*.f64 s (*.f64 x c)) |
s |
(*.f64 x c) |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) |
(*.f64 c (*.f64 s s)) |
(*.f64 s s) |
(*.f64 x x) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) |
(*.f64 (*.f64 (*.f64 c c) x) s) |
(*.f64 (*.f64 c c) x) |
(*.f64 c c) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow (* s (* x c)) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* s (* x c)) #s(hole binary64 (* c (* s x)))) |
#s(approx (* x c) #s(hole binary64 (* c x))) |
#s(approx (* (* c (* s s)) (* x x)) #s(hole binary64 (* c (* (pow s 2) (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (* (* (* (* c c) x) s) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) x)))) |
#s(approx (* (* (* c c) x) s) #s(hole binary64 (* (pow c 2) (* s x)))) |
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x))) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2)))) |
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* c (* s s)) #s(hole binary64 (* c (pow s 2)))) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((/ (cos (* 2 x)) (pow (* s (* x c)) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* s (* x c)) 2) (* s (* x c)) s (* x c) c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (* x x)) c)) 1 (* (* (* c (* s s)) (* x x)) c) (* (* c (* s s)) (* x x)) (* c (* s s)) (* s s) (* x x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (* x x) -2) 1) -2 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
| 8.0ms | x | @ | inf | ((/ (cos (* 2 x)) (pow (* s (* x c)) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* s (* x c)) 2) (* s (* x c)) s (* x c) c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (* x x)) c)) 1 (* (* (* c (* s s)) (* x x)) c) (* (* c (* s s)) (* x x)) (* c (* s s)) (* s s) (* x x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (* x x) -2) 1) -2 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
| 8.0ms | s | @ | inf | ((/ (cos (* 2 x)) (pow (* s (* x c)) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* s (* x c)) 2) (* s (* x c)) s (* x c) c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (* x x)) c)) 1 (* (* (* c (* s s)) (* x x)) c) (* (* c (* s s)) (* x x)) (* c (* s s)) (* s s) (* x x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (* x x) -2) 1) -2 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
| 5.0ms | x | @ | 0 | ((/ (cos (* 2 x)) (pow (* s (* x c)) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* s (* x c)) 2) (* s (* x c)) s (* x c) c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (* x x)) c)) 1 (* (* (* c (* s s)) (* x x)) c) (* (* c (* s s)) (* x x)) (* c (* s s)) (* s s) (* x x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (* x x) -2) 1) -2 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
| 5.0ms | c | @ | -inf | ((/ (cos (* 2 x)) (pow (* s (* x c)) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* s (* x c)) 2) (* s (* x c)) s (* x c) c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (* x x)) c)) 1 (* (* (* c (* s s)) (* x x)) c) (* (* c (* s s)) (* x x)) (* c (* s s)) (* s s) (* x x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (* x x) -2) 1) -2 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 769 |
| 0 | 181 | 700 |
| 0 | 614 | 693 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64)) |
(*.f64 s (*.f64 x c)) |
s |
(*.f64 x c) |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c) |
(*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) |
(*.f64 c (*.f64 s s)) |
(*.f64 s s) |
(*.f64 x x) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 s x) c) |
(*.f64 s x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) |
(*.f64 (*.f64 (*.f64 c c) x) s) |
(*.f64 (*.f64 c c) x) |
(*.f64 c c) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow (* s (* x c)) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* s (* x c)) #s(hole binary64 (* c (* s x)))) |
#s(approx (* x c) #s(hole binary64 (* c x))) |
#s(approx (* (* c (* s s)) (* x x)) #s(hole binary64 (* c (* (pow s 2) (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* s x) #s(hole binary64 (* s x))) |
#s(approx (* (* (* (* c c) x) s) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) x)))) |
#s(approx (* (* (* c c) x) s) #s(hole binary64 (* (pow c 2) (* s x)))) |
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x))) |
#s(approx (/ (cos (* 2 x)) (pow (* s (* x c)) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2)))) |
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* c (* s s)) #s(hole binary64 (* c (pow s 2)))) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(cos.f64 (neg.f64 (+.f64 x x))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
(*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c) |
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)) |
(*.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 c x) s)) (fabs.f64 (*.f64 (*.f64 c x) s))) |
(*.f64 (neg.f64 (*.f64 (*.f64 c x) s)) (neg.f64 (*.f64 (*.f64 c x) s))) |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s))) |
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)) |
(*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c x) s)) #s(literal 2 binary64))) |
(*.f64 (*.f64 c s) x) |
(*.f64 (*.f64 s x) c) |
(*.f64 (*.f64 c x) s) |
(*.f64 c (*.f64 s x)) |
(*.f64 s (*.f64 c x)) |
s |
(*.f64 c x) |
(*.f64 x c) |
c |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)))) |
(pow.f64 (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x)) c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)) |
(*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) c) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 s s) c)) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 x x)) |
(*.f64 c (*.f64 (*.f64 x x) (*.f64 s s))) |
(*.f64 (*.f64 c s) s) |
(*.f64 (*.f64 s s) c) |
(*.f64 c (*.f64 s s)) |
(*.f64 (pow.f64 s #s(literal 1 binary64)) (pow.f64 s #s(literal 1 binary64))) |
(*.f64 (fabs.f64 s) (fabs.f64 s)) |
(*.f64 (neg.f64 s) (neg.f64 s)) |
(*.f64 s s) |
(pow.f64 s #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (neg.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s))))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
#s(literal -2 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c) |
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)) |
(*.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 c x) s)) (fabs.f64 (*.f64 (*.f64 c x) s))) |
(*.f64 (neg.f64 (*.f64 (*.f64 c x) s)) (neg.f64 (*.f64 (*.f64 c x) s))) |
(*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s))) |
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)) |
(*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c x) s)) #s(literal 2 binary64))) |
(*.f64 (*.f64 c s) x) |
(*.f64 (*.f64 s x) c) |
(*.f64 (*.f64 c x) s) |
(*.f64 c (*.f64 s x)) |
(*.f64 s (*.f64 c x)) |
(*.f64 s x) |
(*.f64 x s) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s))))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(cos.f64 (neg.f64 (+.f64 x x))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) x) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) |
(*.f64 s (*.f64 (*.f64 (*.f64 c c) x) s)) |
(*.f64 (*.f64 (*.f64 c c) s) x) |
(*.f64 (*.f64 (*.f64 c c) x) s) |
(*.f64 (*.f64 s x) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 s x)) |
(*.f64 s (*.f64 (*.f64 c c) x)) |
(*.f64 (*.f64 c c) x) |
(*.f64 c (*.f64 c x)) |
(*.f64 x (*.f64 c c)) |
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64))) |
(*.f64 (fabs.f64 c) (fabs.f64 c)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 c c) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) (*.f64 c c)))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) #s(literal 2/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 2 x) (+.f64 x x)) |
#s(approx x x) |
#s(approx (pow (* s (* x c)) 2) (*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) (*.f64 c c))) |
#s(approx (* s (* x c)) (*.f64 (*.f64 c x) s)) |
#s(approx (* x c) (*.f64 c x)) |
#s(approx (* (* c (* s s)) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* s x) (*.f64 s x)) |
#s(approx (* (* (* (* c c) x) s) s) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 c c))) |
#s(approx (* (* (* c c) x) s) (*.f64 (*.f64 (*.f64 c c) x) s)) |
#s(approx (* (* c c) x) (*.f64 (*.f64 c c) x)) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) (*.f64 c c)))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
#s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) (*.f64 c c)))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx c c) |
#s(approx (* c (* s s)) (*.f64 (*.f64 s s) c)) |
#s(approx (* c c) (*.f64 c c)) |
#s(approx s s) |
#s(approx (* s s) (*.f64 s s)) |
Compiled 1 174 to 588 computations (49.9% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 18 | 149 |
| Fresh | 8 | 8 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 141 | 30 | 171 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
| 58.8% | (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) | |
| 98.1% | (/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) | |
| 73.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) | |
| ▶ | 73.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
| 66.9% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) | |
| 75.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) | |
| ✓ | 96.8% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| 91.8% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) | |
| 68.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x))) | |
| 83.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c x)) s) s) x)) | |
| 91.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c)) | |
| 98.2% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) | |
| 60.4% | (/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) | |
| 56.3% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) | |
| ✓ | 62.2% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| 60.7% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) | |
| 62.2% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| 21.8% | (/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| ▶ | 78.1% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
| 67.3% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) | |
| 79.1% | #s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) | |
| 45.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) | |
| ✓ | 66.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
| 65.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) x) x) c) c))) | |
| 74.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) | |
| ▶ | 67.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
| ✓ | 62.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
| ▶ | 61.9% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
| 61.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 x x)) c))) |
Compiled 889 to 853 computations (4% saved)
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c x) s) |
(*.f64 c x) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c) |
(*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) |
(*.f64 (*.f64 c s) s) |
(*.f64 c s) |
(*.f64 x x) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64)) |
(*.f64 s (*.f64 x c)) |
(*.f64 x c) |
#s(literal 2 binary64) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c)) |
(*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c) |
(*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 c (*.f64 s s)) |
(*.f64 s s) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) |
(*.f64 (*.f64 (*.f64 c c) x) s) |
(*.f64 (*.f64 c c) x) |
(*.f64 c c) |
| Outputs |
|---|
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ 1 (* c (* s x))))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x))) |
#s(approx (cos (+ x x)) #s(hole binary64 1)) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* c x) s) #s(hole binary64 (* c (* s x)))) |
#s(approx (* c x) #s(hole binary64 (* c x))) |
#s(approx (* (* (* (* c s) s) (* x x)) c) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* (* c s) s) (* x x)) #s(hole binary64 (* c (* (pow s 2) (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (* (* (* (* c c) x) s) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) x)))) |
#s(approx (* (* (* c c) x) s) #s(hole binary64 (* (pow c 2) (* s x)))) |
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (cos (* 2 x)) (* c (* s x))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (cos (neg (* -2 x))) (* c (* s x))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* (* c s) s) #s(hole binary64 (* c (pow s 2)))) |
#s(approx (* c s) #s(hole binary64 (* c s))) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | 0 | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) x (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* c s) s) (* x x)) c)) 1 (* (* (* (* c s) s) (* x x)) c) (* (* (* c s) s) (* x x)) (* (* c s) s) (* c s) (* x x) (/ (cos (+ x x)) (pow (* s (* x c)) 2)) (cos (+ x x)) (pow (* s (* x c)) 2) (* s (* x c)) (* x c) 2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (exp (* (log x) 2))) c)) (* (* (* c (* s s)) (exp (* (log x) 2))) c) (* (* c (* s s)) (exp (* (log x) 2))) (* c (* s s)) (* s s) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (cos (+ x x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
| 25.0ms | x | @ | inf | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) x (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* c s) s) (* x x)) c)) 1 (* (* (* (* c s) s) (* x x)) c) (* (* (* c s) s) (* x x)) (* (* c s) s) (* c s) (* x x) (/ (cos (+ x x)) (pow (* s (* x c)) 2)) (cos (+ x x)) (pow (* s (* x c)) 2) (* s (* x c)) (* x c) 2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (exp (* (log x) 2))) c)) (* (* (* c (* s s)) (exp (* (log x) 2))) c) (* (* c (* s s)) (exp (* (log x) 2))) (* c (* s s)) (* s s) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (cos (+ x x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
| 16.0ms | x | @ | -inf | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) x (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* c s) s) (* x x)) c)) 1 (* (* (* (* c s) s) (* x x)) c) (* (* (* c s) s) (* x x)) (* (* c s) s) (* c s) (* x x) (/ (cos (+ x x)) (pow (* s (* x c)) 2)) (cos (+ x x)) (pow (* s (* x c)) 2) (* s (* x c)) (* x c) 2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (exp (* (log x) 2))) c)) (* (* (* c (* s s)) (exp (* (log x) 2))) c) (* (* c (* s s)) (exp (* (log x) 2))) (* c (* s s)) (* s s) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (cos (+ x x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
| 9.0ms | s | @ | 0 | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) x (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* c s) s) (* x x)) c)) 1 (* (* (* (* c s) s) (* x x)) c) (* (* (* c s) s) (* x x)) (* (* c s) s) (* c s) (* x x) (/ (cos (+ x x)) (pow (* s (* x c)) 2)) (cos (+ x x)) (pow (* s (* x c)) 2) (* s (* x c)) (* x c) 2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (exp (* (log x) 2))) c)) (* (* (* c (* s s)) (exp (* (log x) 2))) c) (* (* c (* s s)) (exp (* (log x) 2))) (* c (* s s)) (* s s) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (cos (+ x x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
| 6.0ms | c | @ | -inf | ((/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/ (cos (+ x x)) (* (* c x) s)) (cos (+ x x)) (+ x x) x (* (* c x) s) (* c x) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* c s) s) (* x x)) c)) 1 (* (* (* (* c s) s) (* x x)) c) (* (* (* c s) s) (* x x)) (* (* c s) s) (* c s) (* x x) (/ (cos (+ x x)) (pow (* s (* x c)) 2)) (cos (+ x x)) (pow (* s (* x c)) 2) (* s (* x c)) (* x c) 2 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* c (* s s)) (exp (* (log x) 2))) c)) (* (* (* c (* s s)) (exp (* (log x) 2))) c) (* (* c (* s s)) (exp (* (log x) 2))) (* c (* s s)) (* s s) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (cos (+ x x)) (* (* (* (* (* c c) x) s) s) x)) (* (* (* (* (* c c) x) s) s) x) (* (* (* (* c c) x) s) s) (* (* (* c c) x) s) (* (* c c) x) (* c c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 1027 |
| 0 | 223 | 917 |
| 0 | 782 | 905 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 c x) s) |
(*.f64 c x) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c) |
(*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) |
(*.f64 (*.f64 c s) s) |
(*.f64 c s) |
(*.f64 x x) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64)) |
(*.f64 s (*.f64 x c)) |
(*.f64 x c) |
#s(literal 2 binary64) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c)) |
(*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c) |
(*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 c (*.f64 s s)) |
(*.f64 s s) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) |
(*.f64 (*.f64 (*.f64 c c) x) s) |
(*.f64 (*.f64 c c) x) |
(*.f64 c c) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ 1 (* c (* s x))))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x))) |
#s(approx (cos (+ x x)) #s(hole binary64 1)) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* c x) s) #s(hole binary64 (* c (* s x)))) |
#s(approx (* c x) #s(hole binary64 (* c x))) |
#s(approx (* (* (* (* c s) s) (* x x)) c) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2))))) |
#s(approx (* (* (* c s) s) (* x x)) #s(hole binary64 (* c (* (pow s 2) (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (* (* (* (* c c) x) s) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) x)))) |
#s(approx (* (* (* c c) x) s) #s(hole binary64 (* (pow c 2) (* s x)))) |
#s(approx (* (* c c) x) #s(hole binary64 (* (pow c 2) x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (cos (* 2 x)) (* c (* s x))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2)))))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) #s(hole binary64 (/ (cos (neg (* -2 x))) (* c (* s x))))) |
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* (* c s) s) #s(hole binary64 (* c (pow s 2)))) |
#s(approx (* c s) #s(hole binary64 (* c s))) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx s #s(hole binary64 s)) |
#s(approx (* s s) #s(hole binary64 (pow s 2))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) (*.f64 c x)) s) |
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c))) (neg.f64 (*.f64 (*.f64 s x) c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c x)) s) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) c) (*.f64 s x)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 s x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) |
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(cos.f64 (neg.f64 (+.f64 x x))) |
(cos.f64 (*.f64 #s(literal -2 binary64) x)) |
(cos.f64 (+.f64 x x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
x |
(*.f64 (*.f64 s c) x) |
(*.f64 (*.f64 s x) c) |
(*.f64 (*.f64 c x) s) |
(*.f64 s (*.f64 c x)) |
(*.f64 c (*.f64 s x)) |
(*.f64 c x) |
(*.f64 x c) |
c |
s |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)))) |
(pow.f64 (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x)) c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)) |
(*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) |
(*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) c) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 s s) c)) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 x x)) |
(*.f64 c (*.f64 (*.f64 x x) (*.f64 s s))) |
(*.f64 (*.f64 s c) s) |
(*.f64 (*.f64 s s) c) |
(*.f64 s (*.f64 s c)) |
(*.f64 c (*.f64 s s)) |
(*.f64 s c) |
(*.f64 c s) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)) |
(*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64))) |
(*.f64 (*.f64 s c) x) |
(*.f64 (*.f64 s x) c) |
(*.f64 (*.f64 c x) s) |
(*.f64 s (*.f64 c x)) |
(*.f64 c (*.f64 s x)) |
(*.f64 c x) |
(*.f64 x c) |
#s(literal 2 binary64) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)))) |
(pow.f64 (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x)) c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 x x) c)) |
(*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) |
(*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) c) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 s s) c)) |
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 x x)) |
(*.f64 c (*.f64 (*.f64 x x) (*.f64 s s))) |
(*.f64 (*.f64 s c) s) |
(*.f64 (*.f64 s s) c) |
(*.f64 s (*.f64 s c)) |
(*.f64 c (*.f64 s s)) |
(*.f64 (pow.f64 s #s(literal 1 binary64)) (pow.f64 s #s(literal 1 binary64))) |
(*.f64 (fabs.f64 s) (fabs.f64 s)) |
(*.f64 (neg.f64 s) (neg.f64 s)) |
(*.f64 s s) |
(pow.f64 s #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 x)) |
(+.f64 (log.f64 x) (log.f64 x)) |
(log.f64 (*.f64 x x)) |
(log.f64 x) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) x) |
(/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)) |
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) |
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) |
(*.f64 s (*.f64 (*.f64 (*.f64 c c) x) s)) |
(*.f64 (*.f64 (*.f64 c c) s) x) |
(*.f64 (*.f64 s x) (*.f64 c c)) |
(*.f64 (*.f64 (*.f64 c c) x) s) |
(*.f64 (*.f64 c c) (*.f64 s x)) |
(*.f64 s (*.f64 (*.f64 c c) x)) |
(*.f64 (*.f64 c c) x) |
(*.f64 c (*.f64 c x)) |
(*.f64 x (*.f64 c c)) |
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64))) |
(*.f64 (fabs.f64 c) (fabs.f64 c)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 c c) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) (*.f64 c c)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) #s(literal 2/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 s s) (*.f64 c c))) (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) (*.f64 c c)))) (*.f64 x x))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 s c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 s c)) (/.f64 #s(literal 2 binary64) (*.f64 s c))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (*.f64 s c)) #s(literal -4/45 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 s c)))) (/.f64 #s(literal 2 binary64) (*.f64 s c))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ x x) (+.f64 x x)) |
#s(approx x x) |
#s(approx (* (* c x) s) (*.f64 (*.f64 s x) c)) |
#s(approx (* c x) (*.f64 c x)) |
#s(approx (* (* (* (* c s) s) (* x x)) c) (*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) (*.f64 c c))) |
#s(approx (* (* (* c s) s) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (* (* (* (* c c) x) s) s) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 c c))) |
#s(approx (* (* (* c c) x) s) (*.f64 (*.f64 (*.f64 c c) x) s)) |
#s(approx (* (* c c) x) (*.f64 (*.f64 c c) x)) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) (*.f64 c c)))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx (* (log x) 2) (*.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64))) |
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x)))) |
#s(approx (/ (/ (cos (+ x x)) (* (* c x) s)) (* (* c x) s)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s s)) (*.f64 c c)))) |
#s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c))) |
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x))) |
#s(approx c c) |
#s(approx (* (* c s) s) (*.f64 (*.f64 s s) c)) |
#s(approx (* c s) (*.f64 s c)) |
#s(approx (* c c) (*.f64 c c)) |
#s(approx s s) |
#s(approx (* s s) (*.f64 s s)) |
Compiled 1 183 to 628 computations (46.9% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 124 | 15 | 139 |
| Fresh | 3 | 18 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 130 | 39 | 169 |
| Status | Accuracy | Program |
|---|---|---|
| 92.3% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) (*.f64 c x)) s) | |
| 98.1% | (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c x)) s) (*.f64 (*.f64 c x) s)) | |
| 97.0% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) | |
| 96.0% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 c x) s)) | |
| 96.9% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x)) | |
| ✓ | 98.5% | (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
| 58.8% | (/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) | |
| 73.4% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) | |
| 74.6% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c c)) s) x)) | |
| 83.0% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c x)) s) s) x)) | |
| 66.9% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) | |
| 75.7% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) | |
| ✓ | 96.8% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| 91.8% | (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) | |
| 68.5% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x))) | |
| 91.0% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c)) | |
| 98.2% | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) | |
| 60.4% | (/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) | |
| 48.4% | (/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 s c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) | |
| 78.1% | (/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c x) s)) | |
| 56.3% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) | |
| ✓ | 62.2% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
| 60.7% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) | |
| 62.2% | (/.f64 #s(approx (cos (+ x x)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| 21.8% | (/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| ✓ | 78.1% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
| 67.3% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) | |
| 79.1% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) | |
| 63.6% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) | |
| 77.7% | (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64)))) | |
| 45.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) | |
| ✓ | 66.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
| 65.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) x) x) c) c))) | |
| 74.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) | |
| ✓ | 67.7% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
| 67.1% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) | |
| 69.3% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) | |
| 61.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 x x)) c))) | |
| 61.8% | #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
Compiled 1 101 to 830 computations (24.6% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c x) s)) |
(/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 s c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c x)) s) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c c)) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c (*.f64 c x)) (*.f64 s s)) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c x)) s) s) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 c x) s)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) |
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))) x) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 s (*.f64 s x))) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c x)) s) (*.f64 (*.f64 c x) s)) |
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) c)) (*.f64 c x)) s) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Outputs |
|---|
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
6 calls:
| 34.0ms | c |
| 16.0ms | s |
| 15.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 15.0ms | x |
| 14.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 98.5% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 98.5% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 98.5% | 1 | x |
| 98.5% | 1 | c |
| 98.5% | 1 | s |
Compiled 23 to 31 computations (-34.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c x) s)) |
(/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 s c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c x)) s) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c c)) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c (*.f64 c x)) (*.f64 s s)) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c x)) s) s) x)) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) c) (*.f64 x x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
| Outputs |
|---|
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))) |
6 calls:
| 21.0ms | s |
| 14.0ms | c |
| 11.0ms | x |
| 11.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 9.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 98.2% | 1 | x |
| 98.2% | 1 | c |
| 98.2% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 98.2% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 98.2% | 1 | s |
Compiled 23 to 31 computations (-34.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c x) s)) |
(/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 s c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c x)) s) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c c)) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c)) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
6 calls:
| 31.0ms | c |
| 15.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 10.0ms | x |
| 10.0ms | s |
| 9.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 96.8% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 96.8% | 1 | s |
| 96.8% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 96.8% | 1 | x |
| 96.8% | 1 | c |
Compiled 23 to 31 computations (-34.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c x) s)) |
(/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 s c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
| Outputs |
|---|
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
6 calls:
| 12.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 9.0ms | (pow.f64 c #s(literal 2 binary64)) |
| 9.0ms | c |
| 8.0ms | x |
| 8.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 91.8% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 91.8% | 1 | x |
| 91.8% | 1 | c |
| 91.8% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 91.8% | 1 | s |
Compiled 23 to 31 computations (-34.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c x) s)) |
(/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c)) (*.f64 x x))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 s x) c)) #s(literal 2 binary64)))) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 s c)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s c))) x)) (*.f64 (*.f64 c x) s)) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) x) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 s (*.f64 x c)) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) |
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) c))) |
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Outputs |
|---|
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
6 calls:
| 9.0ms | x |
| 8.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 8.0ms | s |
| 7.0ms | c |
| 7.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 1 | s |
| 79.1% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 81.2% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 79.1% | 1 | x |
| 79.1% | 1 | c |
| 79.1% | 1 | (pow.f64 c #s(literal 2 binary64)) |
Compiled 23 to 31 computations (-34.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s)) x)) |
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)) |
(/.f64 #s(approx (/ (cos (+ x x)) (* (* c x) s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c x) s)) |
(/.f64 #s(approx (/ (/ (cos (+ x x)) (* c c)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 s s) x)) |
| Outputs |
|---|
#s(approx (/ (/ (/ (cos (+ x x)) (* c c)) x) (* (* s s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) |
4 calls:
| 11.0ms | s |
| 3.0ms | c |
| 3.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 3.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 79.1% | 1 | c |
| 79.1% | 1 | s |
| 79.1% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
Compiled 19 to 23 computations (-21.1% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s (*.f64 s x)) x) c) c))) |
6 calls:
| 2.0ms | s |
| 2.0ms | x |
| 2.0ms | c |
| 2.0ms | (pow.f64 s #s(literal 2 binary64)) |
| 2.0ms | (pow.f64 c #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 2 | (pow.f64 c #s(literal 2 binary64)) |
| 76.4% | 2 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 76.5% | 2 | x |
| 74.1% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 76.5% | 2 | c |
| 74.1% | 1 | s |
Compiled 23 to 31 computations (-34.8% saved)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x)) c))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s c) (*.f64 s (*.f64 x x))) c))) |
6 calls:
| 7.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 2.0ms | x |
| 2.0ms | c |
| 2.0ms | s |
| 1.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 69.3% | 1 | s |
| 69.3% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 69.3% | 1 | x |
| 69.3% | 1 | c |
| 69.3% | 1 | (pow.f64 c #s(literal 2 binary64)) |
Compiled 23 to 31 computations (-34.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
| Outputs |
|---|
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 s s)) (*.f64 x x)) c))) |
6 calls:
| 1.0ms | s |
| 1.0ms | x |
| 1.0ms | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 1.0ms | c |
| 1.0ms | (pow.f64 s #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 1 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) |
| 62.3% | 1 | c |
| 62.3% | 1 | (pow.f64 s #s(literal 2 binary64)) |
| 62.3% | 1 | (pow.f64 c #s(literal 2 binary64)) |
| 62.3% | 1 | s |
| 62.3% | 1 | x |
Compiled 23 to 31 computations (-34.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.8326255065696165e-203 | 0.0 |
Compiled 17 to 18 computations (-5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5034708134402997e-60 | 1.865996460100892e-58 |
Compiled 19 to 19 computations (0% saved)
| 1× | fuel |
Compiled 114 to 82 computations (28.1% saved)
(abs s)
(sort c s)
(abs c)
(abs x)
Compiled 2 374 to 2 112 computations (11% saved)
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