
Time bar (total: 7.7s)
| 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)
| 775.0ms | 8 256× | 0 | valid |
ival-cos: 257.0ms (48.3% of total)ival-sinh: 108.0ms (20.3% of total)ival-mult: 92.0ms (17.3% of total)ival-div: 63.0ms (11.8% of total)ival-true: 7.0ms (1.3% of total)ival-assert: 4.0ms (0.8% of total)adjust: 2.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 y) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 65.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-cos: 13.0ms (54.3% of total)ival-div: 4.0ms (16.7% of total)ival-mult: 3.0ms (12.5% of total)ival-sinh: 3.0ms (12.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 62 | 39 |
| 2 | 169 | 39 |
| 3 | 398 | 39 |
| 4 | 1643 | 39 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 25 | 7 |
| 2 | 48 | 7 |
| 3 | 99 | 7 |
| 4 | 352 | 7 |
| 5 | 2098 | 7 |
| 0 | 8952 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(abs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (/.f64 (sinh.f64 y) y) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 25 | 17 |
| 2 | 48 | 17 |
| 3 | 99 | 17 |
| 4 | 352 | 17 |
| 5 | 2098 | 17 |
| 0 | 8952 | 17 |
| 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 |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(cos.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sinh.f64 y) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 0.0078125 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 22.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-cos: 6.0ms (38.3% of total)ival-mult: 6.0ms (38.3% of total)ival-div: 2.0ms (12.8% of total)ival-sinh: 2.0ms (12.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 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 (* (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))) |
#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)) |
#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) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#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) (/ (sinh y) y) (sinh y)) |
| 2.0ms | y | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y)) |
| 2.0ms | y | @ | 0 | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y)) |
| 1.0ms | x | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y)) |
| 1.0ms | x | @ | 0 | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 478 |
| 1 | 336 | 465 |
| 2 | 1187 | 425 |
| 3 | 5410 | 423 |
| 0 | 8076 | 395 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (* (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))) |
#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)) |
#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) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp 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)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) 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)) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) 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) (/ (sinh y) y)) (/.f64 (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (pow.f64 x #s(literal 4 binary64)))) y)) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#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) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (cos x) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.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) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 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)) (*.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)) #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)) (*.f64 (cos.f64 x) (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 (* (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 (* (cos x) (/ (sinh y) y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (cos.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) |
#s(approx (/ (sinh y) y) #s(hole binary64 1)) |
#s(approx (/ (sinh y) y) #s(literal 1 binary64)) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#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) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#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 (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) y) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) |
#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) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (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)) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (/ (sinh y) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 27 | 15 |
| 2 | 116 | 15 |
| 0 | 783 | 15 |
| 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) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
| Outputs |
|---|
(*.f64 (sinh.f64 (neg.f64 y)) (/.f64 (cos.f64 x) (neg.f64 y))) |
(*.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 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x))) y) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x)) y)) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (neg.f64 y))) |
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) y))) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 (neg.f64 y)) y) (cos.f64 x))) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sinh.f64 y) y) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sinh.f64 y) y))) |
(fma.f64 (/.f64 (sinh.f64 y) y) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sinh.f64 y) y)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sinh.f64 y) y))) |
(+.f64 (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) (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 (neg.f64 y)) y)) |
(-.f64 (/.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) y)) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal 2 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 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.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) |
(neg.f64 (sinh.f64 (neg.f64 y))) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
Compiled 1 298 to 297 computations (77.1% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 7 | 81 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 75 | 7 | 82 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
| 92.3% | (*.f64 (cos.f64 x) #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)))) | |
| 88.4% | (*.f64 (cos.f64 x) #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)))) | |
| ▶ | 71.5% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 65.2% | (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
| ▶ | 68.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| ▶ | 45.1% | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
Compiled 194 to 144 computations (25.8% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (/.f64 (sinh.f64 y) y) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (*.f64 (sinh.f64 y) (cos.f64 x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 134 |
| 0 | 41 | 134 |
| 1 | 81 | 134 |
| 2 | 183 | 134 |
| 3 | 415 | 134 |
| 4 | 1014 | 134 |
| 5 | 4910 | 134 |
| 0 | 8424 | 134 |
| 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 |
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(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) |
(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)))) |
(cos.f64 x) |
x |
#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) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (cos.f64 x)) |
(*.f64 (cos.f64 x) (sinh.f64 y)) |
(sinh.f64 y) |
y |
(cos.f64 x) |
x |
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (sinh.f64 y)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(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 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (cos.f64 x)) |
(cos.f64 x) |
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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.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 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
#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) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sinh.f64 y) | |
| accuracy | 0.0078125 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) | |
| accuracy | 30.835807561538388 | #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.1171875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 18.20175236601679 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sinh.f64 y) | |
| accuracy | 0.0078125 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) | |
| accuracy | 28.10152576513024 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 35.132621524415235 | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) | |
| accuracy | 0.0 | (sinh.f64 y) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.05859375 | (*.f64 (sinh.f64 y) (cos.f64 x)) | |
| accuracy | 0.06640625 | (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
| 42.0ms | 256× | 0 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-mult: 9.0ms (33.5% of total)ival-cos: 6.0ms (22.4% of total)ival-div: 3.0ms (11.2% of total)const: 3.0ms (11.2% of total)ival-add: 2.0ms (7.5% of total)ival-sinh: 2.0ms (7.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(*.f64 (sinh.f64 y) (cos.f64 x)) |
(sinh.f64 y) |
(cos.f64 x) |
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos 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)))) |
#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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
| 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 (* (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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 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 (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (cos x))) |
#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 (* (cos x) (/ (sinh y) y)) #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)) |
#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 (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#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)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (cos x) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x)) |
| 2.0ms | y | @ | -inf | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (cos x) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x)) |
| 2.0ms | x | @ | inf | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (cos x) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x)) |
| 1.0ms | x | @ | -inf | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (cos x) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (cos x) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 1115 |
| 1 | 487 | 1006 |
| 2 | 2086 | 976 |
| 3 | 6336 | 972 |
| 0 | 8033 | 909 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (* (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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 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 (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (cos x))) |
#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 (* (cos x) (/ (sinh y) y)) #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)) |
#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 (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#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)))))) |
| 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) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) 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) (/.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) 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)) y) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) y)) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (sinh y) (cos x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#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)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#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)) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) |
#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 (* (sinh y) (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#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) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (cos x) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.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) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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 (/ (* (sinh y) (cos x)) y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) 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 (/ (* (sinh y) (cos x)) y) (/.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) 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 (/ (* (sinh y) (cos x)) y) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) y)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#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)) y) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)) |
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (cos x))) |
#s(approx (/ (* (sinh y) (cos x)) y) (cos.f64 x)) |
#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) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 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) (*.f64 (cos.f64 x) (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) (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)) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) |
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (cos x)))) |
#s(approx (* (sinh y) (cos x)) (*.f64 (cos.f64 x) y)) |
#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)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))) |
#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)) (*.f64 (*.f64 (cos.f64 x) (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) (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) (cos x)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))) y)) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) y) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) |
#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) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (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)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x))) |
#s(approx (/ (* (sinh y) (cos x)) y) (cos.f64 x)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))) |
#s(approx (/ (* (sinh y) (cos x)) 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)) #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) (*.f64 (cos.f64 x) (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 (* (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) (cos x)) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) |
#s(approx (/ (sinh y) y) #s(hole binary64 1)) |
#s(approx (/ (sinh y) y) #s(literal 1 binary64)) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#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) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#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) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (/ (sinh y) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 106 |
| 0 | 41 | 106 |
| 1 | 111 | 106 |
| 0 | 591 | 106 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
(*.f64 (sinh.f64 y) (cos.f64 x)) |
(sinh.f64 y) |
(cos.f64 x) |
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos 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)))) |
#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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (cos.f64 x)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(*.f64 (cos.f64 x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (cos.f64 x)) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (cos.f64 x)) #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))) |
(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))))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(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))))) |
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 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 (*.f64 (sinh.f64 (neg.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 (neg.f64 y))) (neg.f64 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)) |
(/.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 (neg.f64 y)) y)) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/6 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/6 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y)) y) |
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.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 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 3 676 to 626 computations (83% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 199 | 10 | 209 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 200 | 16 | 216 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
| ▶ | 92.3% | (*.f64 (cos.f64 x) #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)))) |
| 88.4% | (*.f64 (cos.f64 x) #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)))) | |
| ✓ | 71.5% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 53.7% | (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| 60.7% | (*.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 (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)))) | |
| 59.2% | (*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 50.6% | (*.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)))) | |
| ✓ | 68.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| ▶ | 62.6% | (*.f64 #s(approx (cos x) #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)))) |
| ▶ | 59.5% | (*.f64 #s(approx (cos x) #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)))) |
| ▶ | 48.0% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 45.1% | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
| 40.0% | #s(approx (* (cos x) (/ (sinh 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)))) | |
| 33.2% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 27.8% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
Compiled 566 to 383 computations (32.3% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos x) #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)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos x) #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)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) #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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 306 |
| 0 | 46 | 306 |
| 1 | 94 | 306 |
| 2 | 267 | 306 |
| 3 | 1036 | 306 |
| 4 | 3647 | 306 |
| 0 | 8230 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) #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)))) |
(cos.f64 x) |
x |
#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))) |
(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)) |
(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) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (cos x) #s(literal 1 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) |
y |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (cos x) #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 (cos x) #s(literal 1 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))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (cos x) #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 (cos x) #s(literal 1 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))) |
(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)) |
(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) |
| Outputs |
|---|
(*.f64 (cos.f64 x) #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)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.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)) (*.f64 y y) #s(literal 1 binary64))) (cos.f64 x)) |
(cos.f64 x) |
x |
#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 (/ (sinh y) y) (fma.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)) (*.f64 y y) #s(literal 1 binary64))) |
(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)) |
(fma.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)) (*.f64 y y) #s(literal 1 binary64)) |
(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 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #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 (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 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))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.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)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cos x) #s(literal 1 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 (/ (sinh y) y) (fma.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)) (*.f64 y y) #s(literal 1 binary64))) |
(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)) |
(fma.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)) (*.f64 y y) #s(literal 1 binary64)) |
(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 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (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)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 4.930661843661574 | #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))) | |
| accuracy | 28.10152576513024 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 7.436839137524772 | #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))) | |
| accuracy | 28.10152576513024 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.1171875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 18.20175236601679 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 28.10152576513024 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 28.10152576513024 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 35.132621524415235 | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 0.0234375 | (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)) | |
| accuracy | 0.05078125 | (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)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 4.930661843661574 | #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))) |
| 78.0ms | 256× | 0 | valid |
Compiled 199 to 25 computations (87.4% saved)
ival-mult: 15.0ms (35.9% of total)const: 8.0ms (19.1% of total)ival-add: 7.0ms (16.8% of total)ival-cos: 7.0ms (16.8% of total)ival-div: 2.0ms (4.8% of total)ival-sinh: 2.0ms (4.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cos.f64 x) #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)))) |
(cos.f64 x) |
#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))) |
(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) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 #s(approx (cos x) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) #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)))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(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 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
| 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 (* (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))) |
#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)) |
#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 y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (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 (+ (* (+ (* 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 (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) 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 (+ (* (* 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 (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))))) |
#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 (+ (* (+ (* 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 (+ (* 1/120 (* 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 | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 3.0ms | y | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 1.0ms | y | @ | 0 | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 1.0ms | x | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6)) |
| 1.0ms | x | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1093 |
| 1 | 519 | 1080 |
| 2 | 1826 | 1044 |
| 3 | 6980 | 1040 |
| 0 | 9075 | 932 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (* (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))) |
#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)) |
#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 y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (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 (+ (* (+ (* 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 (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) 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 (+ (* (* 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 (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))))) |
#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 (+ (* (+ (* 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 (+ (* 1/120 (* 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 |
|---|
#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)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) 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)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#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)) (/.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) 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) (/ (sinh y) y)) (/.f64 (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (pow.f64 x #s(literal 4 binary64)))) y)) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#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) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (cos x) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.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) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)))) |
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 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)) (*.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)) #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)) (*.f64 (cos.f64 x) (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 (* (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 (* (cos x) (/ (sinh y) y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (cos.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) |
#s(approx (/ (sinh y) y) #s(hole binary64 1)) |
#s(approx (/ (sinh y) y) #s(literal 1 binary64)) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#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) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#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 (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (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 (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #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 y)) 1) (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) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (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 (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) |
#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(literal 1/6 binary64)) |
#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) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
#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) (* y y)) 1/6) (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))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2))))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (/ (sinh y) y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) 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) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))) |
#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) (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
#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 y)) 1) (fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (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 (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2)))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) |
#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) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))) |
#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) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) |
#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) (* y y)) 1/6) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* 1/120 (* y y)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 209 |
| 0 | 46 | 209 |
| 1 | 169 | 209 |
| 0 | 1214 | 209 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) #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)))) |
(cos.f64 x) |
#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))) |
(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) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 #s(approx (cos x) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) #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)))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(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 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) y) (fma.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)) (*.f64 y y) #s(literal 1 binary64))) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.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)) (*.f64 y y) #s(literal 1 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))))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(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))))) |
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#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
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(fma.f64 y (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #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 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.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)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.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)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(/.f64 (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/5040 binary64) y) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/5040 binary64) y)) y)) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/5040 binary64))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (/.f64 #s(literal 1/1728000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64))) |
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) (*.f64 #s(literal 1/6 binary64) y))))) |
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fabs.f64 y)) (fabs.f64 y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (neg.f64 y)) (neg.f64 y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(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)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y)) y)) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y y))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 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)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) y)) y)) |
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) |
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (/.f64 #s(literal 1/216 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
Compiled 9 461 to 1 025 computations (89.2% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 289 | 11 | 300 |
| Fresh | 1 | 6 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 293 | 23 | 316 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
| ✓ | 92.3% | (*.f64 (cos.f64 x) #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)))) |
| ▶ | 88.4% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 71.5% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 62.7% | (*.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))) #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)))) | |
| ▶ | 53.7% | (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 60.7% | (*.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 (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)))) | |
| 59.2% | (*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 50.6% | (*.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)))) | |
| ✓ | 68.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| 59.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 62.4% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 62.6% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) | |
| 48.0% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ▶ | 62.2% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
| 59.3% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| 37.3% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))))) | |
| ▶ | 34.6% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
| 23.2% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| ✓ | 45.1% | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
| 40.0% | #s(approx (* (cos x) (/ (sinh 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)))) | |
| ▶ | 33.2% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | 27.8% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
Compiled 1 004 to 683 computations (32% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) | |
| cost-diff | 0 | #s(approx (cos x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 507 |
| 0 | 88 | 507 |
| 1 | 160 | 507 |
| 2 | 447 | 507 |
| 3 | 1573 | 507 |
| 4 | 4144 | 507 |
| 0 | 8198 | 500 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(cos.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #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(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(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) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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))) |
(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) |
x |
#s(literal 1/2 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) |
y |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(cos.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #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 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) |
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 #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) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.19921875 | (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) | |
| accuracy | 18.20175236601679 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 30.875874286841807 | #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))) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) | |
| accuracy | 4.930661843661574 | #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 27.325192151957133 | #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) | |
| accuracy | 28.10152576513024 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.2109375 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) | |
| accuracy | 7.436839137524772 | #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) | |
| accuracy | 27.304285607106653 | #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) | |
| accuracy | 28.10152576513024 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 30.835807561538388 | #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 35.132621524415235 | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 4.930661843661574 | #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 34.71250199144531 | #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) |
| 92.0ms | 256× | 0 | valid |
Compiled 280 to 39 computations (86.1% saved)
ival-mult: 22.0ms (30.6% of total)ival-div: 20.0ms (27.8% of total)const: 11.0ms (15.3% of total)ival-add: 9.0ms (12.5% of total)ival-cos: 6.0ms (8.4% of total)ival-sinh: 2.0ms (2.8% of total)ival-sub: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(cos.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #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) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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))) |
(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)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #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) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
| 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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#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 (* (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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#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 (* 1/24 (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) (/ (sinh y) y)) #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)) |
#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 y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (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 (+ (* (+ (* 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 (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* 1/6 y))) |
#s(approx (* (+ (* 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) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) 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 (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))))) |
#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 (+ (* (+ (* 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 (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* 1/120 (pow y 3)))) |
#s(approx (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) #s(hole binary64 (* 1/5040 (pow y 4)))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) #s(hole binary64 (* (pow y 4) (+ 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)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (+ (* 1/120 (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (/ (sinh y) y) (* 1/24 (* x x)) (+ (* (* y y) 1/6) 1)) |
| 3.0ms | y | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (+ (* 1/120 (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (/ (sinh y) y) (* 1/24 (* x x)) (+ (* (* y y) 1/6) 1)) |
| 2.0ms | x | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (+ (* 1/120 (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (/ (sinh y) y) (* 1/24 (* x x)) (+ (* (* y y) 1/6) 1)) |
| 2.0ms | x | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (+ (* 1/120 (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (/ (sinh y) y) (* 1/24 (* x x)) (+ (* (* y y) 1/6) 1)) |
| 2.0ms | y | @ | 0 | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (+ (* 1/120 (* y y)) 1/6) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (/ (sinh y) y) (* 1/24 (* x x)) (+ (* (* y y) 1/6) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 228 | 1455 |
| 1 | 615 | 1442 |
| 2 | 2192 | 1406 |
| 3 | 7744 | 1406 |
| 0 | 8015 | 1267 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#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 (* (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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#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 (* 1/24 (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) (/ (sinh y) y)) #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)) |
#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 y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (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 (+ (* (+ (* 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 (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* 1/6 y))) |
#s(approx (* (+ (* 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) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) 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 (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))))) |
#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 (+ (* (+ (* 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 (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* 1/120 (pow y 3)))) |
#s(approx (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) #s(hole binary64 (* 1/5040 (pow y 4)))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) #s(hole binary64 (* (pow y 4) (+ 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)))))) |
| 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)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) 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)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#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)) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) 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) (/ (sinh y) y)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) (fma.f64 (fma.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) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (cos x) (fma.f64 (fma.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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2))) |
#s(approx (- (* 1/24 (* x x)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (* 1/24 (* x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x 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) (/ (sinh y) y)) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) 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) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) |
#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) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
#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) (* x x)) 1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x))) |
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 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)) (*.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)) #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)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
#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 (* (cos x) (/ (sinh y) y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) |
#s(approx (/ (sinh y) y) #s(hole binary64 1)) |
#s(approx (/ (sinh y) y) #s(literal 1 binary64)) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (/ (sinh y) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#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) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #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 y)) 1) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) |
#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(literal 1/6 binary64)) |
#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) (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) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64) #s(literal 1/6 binary64)))) |
#s(approx (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* 1/6 y))) |
#s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) |
#s(approx (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* y (+ 1/6 (* 1/120 (pow y 2)))))) |
#s(approx (* (+ (* 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) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
#s(approx (/ (sinh y) y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) 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) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))) |
#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) (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
#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) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))) |
#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 y)) 1) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2)))) |
#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) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) |
#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) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))) |
#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) (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)))) |
#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) (* y y)) 1/6) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
#s(approx (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* 1/120 (pow y 3)))) |
#s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/120 binary64))) |
#s(approx (* (+ (* 1/120 (* y y)) 1/6) y) #s(hole binary64 (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (* (+ (* 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) #s(hole binary64 (* 1/5040 (pow y 4)))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
#s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 436 |
| 0 | 88 | 436 |
| 1 | 290 | 436 |
| 2 | 2102 | 436 |
| 0 | 8438 | 429 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(cos.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #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) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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))) |
(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)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #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) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (cos.f64 x)) |
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
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(fma.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 y y))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 y y))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 y y))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 y y))) |
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (*.f64 y y))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/24 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 y (fabs.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/6 binary64) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
Compiled 18 967 to 2 127 computations (88.8% saved)
28 alts after pruning (18 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 451 | 12 | 463 |
| Fresh | 6 | 6 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 458 | 28 | 486 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
| ✓ | 92.3% | (*.f64 (cos.f64 x) #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)))) |
| ✓ | 88.4% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 71.5% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 59.2% | (*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 61.5% | (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 53.7% | (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) | |
| 53.5% | (*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)))) | |
| 50.6% | (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| 60.7% | (*.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 (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)))) | |
| 59.2% | (*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 68.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| 59.5% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 62.6% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) | |
| 48.0% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ✓ | 62.2% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
| 59.3% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) | |
| 38.7% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y))))) | |
| ✓ | 34.6% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
| 23.2% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) | |
| 23.2% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| ✓ | 45.1% | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
| 40.0% | #s(approx (* (cos x) (/ (sinh 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)))) | |
| 36.5% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) | |
| ✓ | 33.2% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| 32.4% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) | |
| 8.9% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| ✓ | 27.8% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
Compiled 1 782 to 682 computations (61.7% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.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 (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)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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))) #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 (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))))) |
(*.f64 #s(approx (cos 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 #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 x) #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)))) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 11.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 11.0ms | y |
| 11.0ms | x |
| 10.0ms | (/.f64 (sinh.f64 y) y) |
| 10.0ms | (cos.f64 x) |
| 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 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.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 (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)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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))) #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 (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))))) |
(*.f64 #s(approx (cos 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 #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 x) #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)))) |
| 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 (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)))) |
(*.f64 (cos.f64 x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 22.0ms | (/.f64 (sinh.f64 y) y) |
| 15.0ms | x |
| 13.0ms | (cos.f64 x) |
| 10.0ms | y |
| 8.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 1 | (/.f64 (sinh.f64 y) y) |
| 96.7% | 2 | (cos.f64 x) |
| 100.0% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 96.7% | 2 | x |
| 96.6% | 3 | y |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.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 (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)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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))) #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 (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))))) |
(*.f64 #s(approx (cos 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 #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 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 (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)))) |
(*.f64 (cos.f64 x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
1 calls:
| 8.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.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 (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)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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))) #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 (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))))) |
(*.f64 #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) 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 (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)))) |
(*.f64 (cos.f64 x) #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 (sinh.f64 y) y)) |
1 calls:
| 17.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.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 (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)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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))) #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 (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) 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 (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) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
1 calls:
| 7.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.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 (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)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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))) #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 (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))))) |
| 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 (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) y)) (cos.f64 x)) |
(*.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))) #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)))) |
5 calls:
| 23.0ms | x |
| 10.0ms | 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 |
|---|---|---|
| 80.9% | 2 | (/.f64 (sinh.f64 y) y) |
| 84.3% | 4 | y |
| 79.1% | 3 | (cos.f64 x) |
| 67.3% | 2 | x |
| 95.1% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.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 (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)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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))) #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)))) |
| 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 (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)))) |
(*.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))) #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)))) |
4 calls:
| 8.0ms | y |
| 8.0ms | (cos.f64 x) |
| 7.0ms | (/.f64 (sinh.f64 y) y) |
| 7.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 2 | (cos.f64 x) |
| 62.7% | 1 | (/.f64 (sinh.f64 y) y) |
| 67.1% | 3 | y |
| 77.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 14 to 15 computations (-7.1% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.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 (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)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 (fma.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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 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 (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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) |
2 calls:
| 36.0ms | (cos.f64 x) |
| 7.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 2 | (cos.f64 x) |
| 76.8% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.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))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) |
2 calls:
| 7.0ms | (cos.f64 x) |
| 6.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 2 | (cos.f64 x) |
| 76.5% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)) #s(approx (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #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)))) |
| 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) |
2 calls:
| 89.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 2 | (cos.f64 x) |
| 75.4% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.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)))) |
| 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 5.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.3% | 2 | (cos.f64 x) |
| 75.3% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
| 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 5.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 2 | (cos.f64 x) |
| 75.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
| 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 #s(approx (cos x) #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)))) |
2 calls:
| 44.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 5.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 2 | (cos.f64 x) |
| 72.4% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(*.f64 #s(approx (cos x) #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)))) |
3 calls:
| 4.0ms | x |
| 4.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 1 | x |
| 67.2% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 67.2% | 2 | (cos.f64 x) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(approx (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 66.9% | 2 | (cos.f64 x) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) |
3 calls:
| 21.0ms | (cos.f64 x) |
| 3.0ms | y |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 3 | y |
| 67.1% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 59.9% | 3 | (cos.f64 x) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh 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)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
5 calls:
| 6.0ms | (cos.f64 x) |
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 3 | (cos.f64 x) |
| 52.6% | 3 | y |
| 53.1% | 2 | x |
| 48.0% | 1 | (/.f64 (sinh.f64 y) y) |
| 55.7% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 3 | (cos.f64 x) |
Compiled 2 to 3 computations (-50% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) 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 (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y)))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
2 calls:
| 2.0ms | (cos.f64 x) |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 44.2% | 2 | (cos.f64 x) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) |
5 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (cos.f64 x) |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.2% | 2 | (cos.f64 x) |
| 36.5% | 1 | (/.f64 (sinh.f64 y) y) |
| 36.5% | 1 | y |
| 36.5% | 1 | x |
| 44.2% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
5 calls:
| 6.0ms | (cos.f64 x) |
| 2.0ms | y |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.2% | 1 | x |
| 33.2% | 1 | (/.f64 (sinh.f64 y) y) |
| 33.2% | 1 | y |
| 35.3% | 2 | (cos.f64 x) |
| 35.3% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
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 |
|---|---|---|
| 27.8% | 1 | x |
| 27.8% | 1 | (/.f64 (sinh.f64 y) y) |
| 27.8% | 1 | y |
| 27.8% | 1 | (cos.f64 x) |
| 27.8% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000001002405 | 1.0063009450768794 |
| 0.0ms | -inf | -0.9975966924130416 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000001002405 | 1.0063009450768794 |
| 0.0ms | -inf | -0.9975966924130416 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000001002405 | 1.0063009450768794 |
| 0.0ms | -inf | -0.9975966924130416 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999228804999177 | 1.0 |
| 0.0ms | -inf | -0.9975966924130416 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999228804999177 | 1.0 |
| 0.0ms | -inf | -0.9975966924130416 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0635944346849375 | +inf |
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999228804999177 | 1.0 |
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.608956368380641 | 0.6144198498718577 |
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0635944346849375 | +inf |
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -0.040888959609799866 | 0.01914675552027524 |
Compiled 10 to 11 computations (-10% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1388 |
| 1 | 202 | 1388 |
| 2 | 387 | 1388 |
| 3 | 1068 | 1388 |
| 4 | 2896 | 1388 |
| 5 | 7301 | 1388 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1131529406376837/1125899906842624 binary64)) (*.f64 (cos.f64 x) #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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1131529406376837/1125899906842624 binary64)) (*.f64 (cos.f64 x) #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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1131529406376837/1125899906842624 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 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9006504624037325/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9006504624037325/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.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))) #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)))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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 (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)))) (*.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))) #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))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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 (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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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)) #s(approx (/ (sinh 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))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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)) #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))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 #s(approx (cos x) #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))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 4 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (cos.f64 x) #s(literal 9006504624037325/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh 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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (cos.f64 x) #s(literal 5494391545392005/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 4 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1131529406376837/1125899906842624 binary64)) (*.f64 (cos.f64 x) #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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1131529406376837/1125899906842624 binary64)) (*.f64 (cos.f64 x) #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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1131529406376837/1125899906842624 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 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9006504624037325/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.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 (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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9006504624037325/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.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))) #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)))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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 (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)))) (*.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))) #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))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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 (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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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)) #s(approx (/ (sinh 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))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (*.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)) #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))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 #s(approx (cos x) #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))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 4 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (cos.f64 x) #s(literal 9006504624037325/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh 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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (cos.f64 x) #s(literal 5494391545392005/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (cos.f64 x) #s(literal 5494391545392005/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 4 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
| 1× | fuel |
Compiled 1 388 to 154 computations (88.9% saved)
(abs x)
Compiled 2 818 to 344 computations (87.8% saved)
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