
Time bar (total: 3.3s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 694.0ms | 8 256× | 0 | valid |
ival-cos: 304.0ms (60.2% of total)ival-mult!: 79.0ms (15.7% of total)ival-sinh: 61.0ms (12.1% of total)ival-div!: 59.0ms (11.7% of total)adjust: 1.0ms (0.2% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 44 |
| 1 | 63 | 44 |
| 2 | 228 | 44 |
| 3 | 835 | 44 |
| 4 | 6325 | 44 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(abs x)
(abs y)
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(cos.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y) |
| 2.0ms | y | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y) |
| 2.0ms | x | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y) |
| 2.0ms | y | @ | 0 | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y) |
| 1.0ms | x | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 479 |
| 0 | 117 | 467 |
| 1 | 650 | 430 |
| 0 | 5994 | 402 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(cos.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y)) |
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
x |
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (sinh.f64 y) y) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 y y))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
y |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal 1/48 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) x) x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) x) x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
#s(approx (sinh y) y) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
Compiled 374 to 203 computations (45.7% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 8 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 36 | 8 | 44 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
| 53.0% | (*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) | |
| 93.8% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) | |
| ▶ | 77.5% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 59.5% | (*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
| 59.7% | (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) | |
| ▶ | 61.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| ▶ | 90.0% | #s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x))) |
Compiled 182 to 174 computations (4.4% saved)
| Inputs |
|---|
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(*.f64 (sinh.f64 y) (cos.f64 x)) |
(sinh.f64 y) |
y |
(cos.f64 x) |
x |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x))) |
(fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
| Outputs |
|---|
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2))) |
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ 1/24 (* 1/24 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ 1/24 (+ (* 1/24 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (- (* -1/720 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/720)))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ 1/6 (+ (* -1/2 (* (pow x 2) (+ 1/6 (* 1/120 (pow y 2))))) (* 1/120 (pow y 2)))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ 1/6 (+ (* 1/120 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1/6 (* 1/120 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ 1/6 (+ (* 1/120 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1/6 (* 1/120 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1/6 (* 1/120 (pow y 2))))) (* 1/24 (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow y 2) (* (cos x) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (* (cos x) (+ 1/6 (* 1/120 (pow y 2)))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (cos x)))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (* 1/6 (cos x)))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (* 1/120 (* (pow y 4) (cos x))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (* (pow y 4) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (* 1/120 (* (pow y 2) (cos x))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (* (pow y 2) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2))))))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) y (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (+ (* 1/120 (* y y)) 1/6) 1/120) |
| 3.0ms | x | @ | inf | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) y (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (+ (* 1/120 (* y y)) 1/6) 1/120) |
| 3.0ms | x | @ | -inf | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) y (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (+ (* 1/120 (* y y)) 1/6) 1/120) |
| 3.0ms | y | @ | inf | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) y (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (+ (* 1/120 (* y y)) 1/6) 1/120) |
| 2.0ms | x | @ | 0 | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) y (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (+ (* 1/120 (* y y)) 1/6) 1/120) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1713 |
| 0 | 313 | 1639 |
| 1 | 1683 | 1586 |
| 0 | 8287 | 1539 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(*.f64 (sinh.f64 y) (cos.f64 x)) |
(sinh.f64 y) |
y |
(cos.f64 x) |
x |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x))) |
(fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2))) |
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ 1/24 (* 1/24 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ 1/24 (+ (* 1/24 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (- (* -1/720 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/720)))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ 1/6 (+ (* -1/2 (* (pow x 2) (+ 1/6 (* 1/120 (pow y 2))))) (* 1/120 (pow y 2)))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ 1/6 (+ (* 1/120 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1/6 (* 1/120 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ 1/6 (+ (* 1/120 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1/6 (* 1/120 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1/6 (* 1/120 (pow y 2))))) (* 1/24 (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow y 2) (* (cos x) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (* (cos x) (+ 1/6 (* 1/120 (pow y 2)))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (cos x)))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (* 1/6 (cos x)))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (* 1/120 (* (pow y 4) (cos x))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (* (pow y 4) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2))))))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) #s(hole binary64 (* (pow y 4) (+ (* 1/120 (cos x)) (+ (* 1/6 (/ (cos x) (pow y 2))) (/ (cos x) (pow y 4))))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (* 1/120 (* (pow y 2) (cos x))))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) #s(hole binary64 (* (pow y 2) (+ (* 1/120 (cos x)) (* 1/6 (/ (cos x) (pow y 2))))))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) |
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y)) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(*.f64 (sinh.f64 y) (cos.f64 x)) |
(*.f64 (cos.f64 x) (sinh.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
y |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
x |
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)) |
(/.f64 (sinh.f64 y) y) |
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (sinh.f64 y)) y) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 x x)) |
(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)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) |
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(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) |
(fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 1/120 binary64))) |
(fma.f64 (cos.f64 x) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 1/120 binary64))) |
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(-.f64 (*.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) |
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(+.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 (cos.f64 x) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) |
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(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
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(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) |
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(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(literal 1/120 binary64) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y)) |
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#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* (sinh y) (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
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#s(approx (* (sinh y) (cos x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) |
#s(approx (- (* 1/24 (* x x)) 1/2) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* 1/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
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#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y))) #s(literal 1 binary64))) |
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#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
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#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (+.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 x x))) #s(literal 1/6 binary64))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/720 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)))) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64))) |
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (cos.f64 x)) (cos.f64 x))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (cos.f64 x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (cos.f64 x)) (cos.f64 x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x))) |
#s(approx (* (sinh y) (cos x)) (*.f64 (cos.f64 x) y)) |
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)) y)) |
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (cos.f64 x)) (cos.f64 x)) y)) |
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y)) |
#s(approx (sinh y) y) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (cos.f64 x))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (cos.f64 x))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (*.f64 y y)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 (*.f64 y y) (*.f64 y y)))) |
#s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/120 binary64) (fma.f64 (/.f64 (cos.f64 x) (*.f64 y y)) #s(literal 1/6 binary64) (/.f64 (cos.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y)))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (*.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 1/120 binary64))) |
#s(approx (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (*.f64 y y)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 y y))) |
Compiled 3 807 to 1 264 computations (66.8% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 271 | 10 | 281 |
| Fresh | 1 | 2 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 276 | 13 | 289 |
| Status | Accuracy | Program |
|---|---|---|
| 59.7% | (/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) | |
| ▶ | 61.5% | (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
| ▶ | 99.9% | (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
| 48.3% | (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| 53.0% | (*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) | |
| 93.8% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) | |
| ✓ | 77.5% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 28.0% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| ▶ | 37.1% | (*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
| 49.4% | (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 36.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
| ▶ | 28.6% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
| 54.9% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
Compiled 331 to 319 computations (3.6% saved)
| Inputs |
|---|
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
(sinh.f64 y) |
y |
(/.f64 (cos.f64 x) y) |
(cos.f64 x) |
x |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (sinh y) y) y) |
#s(approx (sinh y) y) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(/.f64 (exp.f64 y) #s(literal 2 binary64)) |
(exp.f64 y) |
#s(literal 2 binary64) |
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))))) |
#s(approx (/ (cos x) y) #s(hole binary64 (/ 1 y))) |
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y)))) |
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)))) |
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2))) |
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (cos x)))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 1/2)) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y)))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y)))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y)))))))) |
#s(approx (exp y) #s(hole binary64 (+ 1 y))) |
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y)))))) |
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y)))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2))))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1))))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y)))) |
#s(approx (exp y) #s(hole binary64 (exp y))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y))))) |
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y)))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y))))) |
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | ((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y)) |
| 4.0ms | x | @ | 0 | ((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y)) |
| 3.0ms | y | @ | inf | ((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y)) |
| 3.0ms | x | @ | -inf | ((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y)) |
| 3.0ms | x | @ | inf | ((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 326 | 1709 |
| 0 | 362 | 1541 |
| 1 | 1879 | 1453 |
| 0 | 8634 | 1386 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
(sinh.f64 y) |
y |
(/.f64 (cos.f64 x) y) |
(cos.f64 x) |
x |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (sinh y) y) y) |
#s(approx (sinh y) y) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(/.f64 (exp.f64 y) #s(literal 2 binary64)) |
(exp.f64 y) |
#s(literal 2 binary64) |
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))))) |
#s(approx (/ (cos x) y) #s(hole binary64 (/ 1 y))) |
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y)))) |
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)))) |
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2))) |
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))) |
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (cos x)))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))) |
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 1/2)) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y)))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y)))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y)))))))) |
#s(approx (exp y) #s(hole binary64 (+ 1 y))) |
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y)))))) |
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y)))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2))))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1))))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y)))) |
#s(approx (exp y) #s(hole binary64 (exp y))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y))))) |
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y)))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y))))) |
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) |
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (neg.f64 y) (cosh.f64 y))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (*.f64 (neg.f64 y) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))))) (*.f64 (neg.f64 y) #s(literal 4 binary64))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 y (cosh.f64 y))) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (*.f64 y (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))))) (*.f64 y #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (neg.f64 (cos.f64 x))) (*.f64 (cosh.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (cos.f64 x)) (*.f64 (cosh.f64 y) y)) |
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (cos.f64 x)) (*.f64 (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 4 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) (cos.f64 x)) (*.f64 #s(literal 4 binary64) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y)) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(/.f64 (-.f64 (neg.f64 (exp.f64 y)) (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (neg.f64 (cosh.f64 y))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (cosh.f64 y)) |
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(sinh.f64 y) |
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(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(sinh.f64 y) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (cosh.f64 y)) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (cosh.f64 y))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) |
(/.f64 (exp.f64 y) #s(literal 2 binary64)) |
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (*.f64 (cosh.f64 y) (sinh.f64 y))))) |
(exp.f64 y) |
(+.f64 (cosh.f64 y) (sinh.f64 y)) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal -2 binary64)) |
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) y) |
(pow.f64 (exp.f64 y) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (*.f64 (sinh.f64 (neg.f64 y)) (sinh.f64 (neg.f64 y))) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(-.f64 (cosh.f64 y) (sinh.f64 y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 y)) |
(+.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.f64 x x)))) |
#s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (cos x) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
#s(approx (/ (cos x) y) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x x) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (cos x) y) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* (cos x) (sinh y)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (sinh y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (sinh y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) |
#s(approx (- (* 1/24 (* x x)) 1/2) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* 1/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (cos x) y) (/.f64 (cos.f64 x) y)) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x))) |
#s(approx (sinh y) y) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (* (cos x) (sinh y)) (*.f64 (cos.f64 x) y)) |
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)) y)) |
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y)) |
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y)) |
#s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) |
#s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) y #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) y #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (exp (neg y)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp y) 2) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) |
#s(approx (exp y) (exp.f64 y)) |
#s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) |
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y))) |
Compiled 2 734 to 1 016 computations (62.8% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 7 | 222 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 216 | 19 | 235 |
| Status | Accuracy | Program |
|---|---|---|
| 59.7% | (/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) | |
| ✓ | 61.5% | (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
| ✓ | 99.9% | (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
| 61.5% | (*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))) | |
| 48.3% | (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 53.0% | (*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) |
| ▶ | 93.8% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
| ✓ | 77.5% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 28.0% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| 87.4% | (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y)) | |
| ✓ | 37.1% | (*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
| 32.6% | (*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) | |
| 49.4% | (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 12.9% | (*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
| 36.4% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) | |
| ▶ | 3.0% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
| ✓ | 28.6% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
| ▶ | 45.8% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 54.9% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
Compiled 496 to 481 computations (3% saved)
| Inputs |
|---|
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(cos.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
(/.f64 #s(approx (sinh y) y) y) |
#s(approx (sinh y) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y) |
(-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
#s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(literal 2 binary64) |
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (* (* x x) (* x x)) 1/24) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* 1/6 y))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* y (+ 1/6 (* 1/120 (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 1/2)) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y)))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y)))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y)))))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y)))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2))))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1))))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) #s(hole binary64 (* 1/5040 (pow y 6)))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* 1/5040 (pow y 5)))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4)))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2)))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y)))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y))))) |
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y)))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y))))) |
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (* (* x x) (* x x)) 1/24) (* (* x x) (* x x)) (* x x) 1/24 (/ (sinh y) y) (sinh y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) 1/2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y) 2 (* (cos x) (/ (sinh y) y))) |
| 4.0ms | y | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (* (* x x) (* x x)) 1/24) (* (* x x) (* x x)) (* x x) 1/24 (/ (sinh y) y) (sinh y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) 1/2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y) 2 (* (cos x) (/ (sinh y) y))) |
| 4.0ms | y | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (* (* x x) (* x x)) 1/24) (* (* x x) (* x x)) (* x x) 1/24 (/ (sinh y) y) (sinh y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) 1/2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y) 2 (* (cos x) (/ (sinh y) y))) |
| 3.0ms | x | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (* (* x x) (* x x)) 1/24) (* (* x x) (* x x)) (* x x) 1/24 (/ (sinh y) y) (sinh y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) 1/2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y) 2 (* (cos x) (/ (sinh y) y))) |
| 2.0ms | y | @ | 0 | ((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (* (* x x) (* x x)) 1/24) (* (* x x) (* x x)) (* x x) 1/24 (/ (sinh y) y) (sinh y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) 1/2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y) 2 (* (cos x) (/ (sinh y) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 1978 |
| 0 | 372 | 1772 |
| 1 | 1902 | 1707 |
| 0 | 8516 | 1652 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(cos.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
(/.f64 #s(approx (sinh y) y) y) |
#s(approx (sinh y) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y) |
(-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
#s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(literal 2 binary64) |
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y))))) |
#s(approx (* (* (* x x) (* x x)) 1/24) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* 1/6 y))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* y (+ 1/6 (* 1/120 (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 1/2)) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y)))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y)))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y)))))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y)))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2))))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1))))) |
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) #s(hole binary64 (* 1/5040 (pow y 6)))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* 1/5040 (pow y 5)))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4)))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2)))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))))) |
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y)))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y))))) |
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y)))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))))) |
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))))) |
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y))))) |
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y)))) |
| Outputs |
|---|
(*.f64 (cos.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (cos.f64 x)) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
x |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
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(-.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) y) |
(pow.f64 (exp.f64 y) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (*.f64 (sinh.f64 (neg.f64 y)) (sinh.f64 (neg.f64 y))) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(-.f64 (cosh.f64 y) (sinh.f64 y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 y)) |
(+.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y) (cos.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y))) (neg.f64 y)) |
(/.f64 (*.f64 (cos.f64 x) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.f64 x x)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (* (* (* x x) (* x x)) 1/24) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (cos.f64 x) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (cos.f64 x) (*.f64 (cos.f64 x) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) |
#s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) |
#s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) y #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) y #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) |
#s(approx (exp (neg y)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/5040 binary64))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) #s(literal 1/5040 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) |
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 (pow.f64 y #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/5040 binary64))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) #s(literal 1/5040 binary64)))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/5040 binary64))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 y y))) |
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp y) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
#s(approx (/ (exp (neg y)) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y))) |
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 y y))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 5 binary64))))) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) |
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp (neg y)) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y))) |
Compiled 4 098 to 1 587 computations (61.3% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 291 | 5 | 296 |
| Fresh | 0 | 9 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 292 | 23 | 315 |
| Status | Accuracy | Program |
|---|---|---|
| 59.7% | (/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) | |
| ✓ | 61.5% | (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
| ✓ | 99.9% | (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
| 61.5% | (*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))) | |
| 48.3% | (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 53.0% | (*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) |
| ✓ | 93.8% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
| ✓ | 77.5% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 28.0% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| 87.4% | (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y)) | |
| ✓ | 37.1% | (*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
| 32.6% | (*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) | |
| 49.4% | (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 12.9% | (*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
| 36.4% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) | |
| 9.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))) y)) | |
| 3.3% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) | |
| ✓ | 28.6% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
| ✓ | 45.8% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 45.8% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) | |
| 33.8% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))) | |
| 20.3% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| 54.9% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
Compiled 594 to 503 computations (15.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x))) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 11.0ms | x |
| 8.0ms | y |
| 8.0ms | (cos.f64 x) |
| 7.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 6.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (sinh.f64 y) y) |
| 100.0% | 1 | (cos.f64 x) |
| 100.0% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 13 to 17 computations (-30.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
5 calls:
| 25.0ms | y |
| 7.0ms | x |
| 7.0ms | (cos.f64 x) |
| 6.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 5.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 1 | (/.f64 (sinh.f64 y) y) |
| 92.3% | 2 | (cos.f64 x) |
| 99.5% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 92.3% | 2 | x |
| 96.1% | 3 | y |
Compiled 13 to 17 computations (-30.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
1 calls:
| 6.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 6 to 6 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
5 calls:
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 4.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | (/.f64 (sinh.f64 y) y) |
| 75.6% | 2 | (cos.f64 x) |
| 63.9% | 2 | x |
| 61.5% | 1 | y |
| 75.6% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 17 computations (-30.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
2 calls:
| 16.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 5.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 2 | (cos.f64 x) |
| 73.8% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 8 to 9 computations (-12.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y) |
2 calls:
| 4.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 2 | (cos.f64 x) |
| 68.2% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 8 to 9 computations (-12.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))) |
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (+ (* (* (cos x) (+ (* 1/120 (* y y)) 1/6)) (* y y)) (cos x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 1 | (/.f64 (sinh.f64 y) y) |
| 54.9% | 1 | y |
| 54.9% | 1 | x |
| 61.6% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 61.6% | 2 | (cos.f64 x) |
Compiled 13 to 17 computations (-30.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
5 calls:
| 4.0ms | (cos.f64 x) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 1 | (/.f64 (sinh.f64 y) y) |
| 49.9% | 3 | x |
| 45.8% | 1 | y |
| 52.5% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 52.5% | 2 | (cos.f64 x) |
Compiled 13 to 17 computations (-30.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) |
4 calls:
| 2.0ms | x |
| 2.0ms | (cos.f64 x) |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 1 | (/.f64 (sinh.f64 y) y) |
| 45.8% | 1 | x |
| 45.8% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 45.8% | 1 | (cos.f64 x) |
Compiled 12 to 15 computations (-25% saved)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
5 calls:
| 3.0ms | x |
| 1.0ms | y |
| 1.0ms | (cos.f64 x) |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.7% | 2 | y |
| 32.8% | 2 | (cos.f64 x) |
| 45.7% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 33.0% | 2 | x |
| 45.7% | 2 | (/.f64 (sinh.f64 y) y) |
Compiled 13 to 17 computations (-30.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (cos.f64 x) |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.6% | 1 | (cos.f64 x) |
| 28.6% | 1 | x |
| 28.6% | 1 | y |
| 28.6% | 1 | (/.f64 (sinh.f64 y) y) |
| 28.6% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 17 computations (-30.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999998717213 | 1.0 |
| 0.0ms | -inf | -5.9199644565437355 |
Compiled 9 to 11 computations (-22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999998717213 | 1.0 |
| 0.0ms | -inf | -5.9199644565437355 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.001181303246550701 | 0.03669000367509972 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.001181303246550701 | 0.03669000367509972 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.001181303246550701 | 0.03669000367509972 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.001181303246550701 | 0.03669000367509972 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.001181303246550701 | 0.03669000367509972 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000002569145 | +inf |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | fuel |
Compiled 130 to 89 computations (31.5% saved)
(abs y)
(abs x)
Compiled 1 272 to 1 167 computations (8.3% saved)
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