
Time bar (total: 8.7s)
| 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)
| 582.0ms | 8 256× | 0 | valid |
ival-cos: 205.0ms (54.3% of total)ival-div: 65.0ms (17.2% of total)ival-mult: 52.0ms (13.8% of total)ival-sinh: 45.0ms (11.9% of total)ival-true: 7.0ms (1.9% of total)ival-assert: 4.0ms (1.1% 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 |
| 38.0ms | 512× | 0 | valid |
Compiled 62 to 28 computations (54.8% saved)
ival-cos: 11.0ms (49.3% of total)ival-div: 4.0ms (17.9% of total)ival-mult: 3.0ms (13.5% of total)ival-sinh: 3.0ms (13.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 37 |
| 1 | 61 | 37 |
| 2 | 164 | 37 |
| 3 | 538 | 37 |
| 4 | 1783 | 37 |
| 5 | 4254 | 37 |
| 6 | 5749 | 37 |
| 7 | 7148 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 36 | 7 |
| 3 | 74 | 7 |
| 4 | 154 | 7 |
| 5 | 302 | 7 |
| 6 | 761 | 7 |
| 7 | 1800 | 7 |
| 8 | 3035 | 7 |
| 9 | 4031 | 7 |
| 10 | 4516 | 7 |
| 11 | 4594 | 7 |
| 12 | 4597 | 7 |
| 13 | 4599 | 7 |
| 14 | 5019 | 7 |
| 15 | 5239 | 7 |
| 16 | 5359 | 7 |
| 17 | 5493 | 7 |
| 18 | 5597 | 7 |
| 19 | 5637 | 7 |
| 20 | 5653 | 7 |
| 21 | 5661 | 7 |
| 22 | 5661 | 7 |
| 23 | 5779 | 7 |
| 24 | 6017 | 7 |
| 25 | 6053 | 7 |
| 26 | 6053 | 7 |
| 27 | 6053 | 7 |
| 0 | 6053 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 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 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)
| 1× | egg-herbie |
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 | 19 | 17 |
| 2 | 36 | 17 |
| 3 | 74 | 17 |
| 4 | 154 | 17 |
| 5 | 302 | 17 |
| 6 | 761 | 17 |
| 7 | 1800 | 17 |
| 8 | 3035 | 17 |
| 9 | 4031 | 17 |
| 10 | 4516 | 17 |
| 11 | 4594 | 17 |
| 12 | 4597 | 17 |
| 13 | 4599 | 17 |
| 14 | 5019 | 17 |
| 15 | 5239 | 17 |
| 16 | 5359 | 17 |
| 17 | 5493 | 17 |
| 18 | 5597 | 17 |
| 19 | 5637 | 17 |
| 20 | 5653 | 17 |
| 21 | 5661 | 17 |
| 22 | 5661 | 17 |
| 23 | 5779 | 17 |
| 24 | 6017 | 17 |
| 25 | 6053 | 17 |
| 26 | 6053 | 17 |
| 27 | 6053 | 17 |
| 0 | 6053 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 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 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 0 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 0.00390625 | (cos.f64 x) |
| 19.0ms | 256× | 0 | valid |
Compiled 36 to 14 computations (61.1% saved)
ival-cos: 7.0ms (59.2% of total)ival-div: 2.0ms (16.9% of total)ival-mult: 1.0ms (8.5% of total)ival-sinh: 1.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y)) |
| 3.0ms | y | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y)) |
| 2.0ms | x | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y)) |
| 1.0ms | 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 686 |
| 1 | 241 | 679 |
| 2 | 744 | 635 |
| 3 | 2418 | 627 |
| 4 | 5284 | 623 |
| 5 | 7975 | 623 |
| 0 | 8399 | 593 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
| Outputs |
|---|
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(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) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(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) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp 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))) |
(+ (* 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))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1/2 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))))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(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)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 26 | 15 |
| 2 | 121 | 15 |
| 3 | 870 | 15 |
| 0 | 8384 | 15 |
| 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 |
|---|
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Compiled 12 790 to 2 065 computations (83.9% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 697 | 6 | 703 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 698 | 6 | 704 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) |
| 93.3% | (*.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)))) | |
| ▶ | 80.0% | (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 64.3% | (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
| ▶ | 61.7% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| ▶ | 53.1% | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
Compiled 126 to 104 computations (17.5% saved)
| 1× | egg-herbie |
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 | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 152 |
| 0 | 46 | 148 |
| 1 | 79 | 140 |
| 2 | 127 | 140 |
| 3 | 302 | 140 |
| 4 | 1107 | 140 |
| 5 | 3903 | 140 |
| 6 | 7393 | 140 |
| 0 | 8283 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) |
(cos.f64 x) |
x |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) |
(sinh.f64 y) |
y |
#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 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) |
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) |
(cos.f64 x) |
x |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) |
(/.f64 (sinh.f64 y) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(sinh.f64 y) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) |
(sinh.f64 y) |
y |
#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 | (*.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 | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 16.558068494709012 | #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 1.0431866408783108 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 0 | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 14.893611270442005 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 1.1935999021471857 | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 0.00390625 | (cos.f64 x) | |
| accuracy | 0.125 | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
| 60.0ms | 118× | 2 | exit |
| 32.0ms | 137× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 250 to 46 computations (81.6% saved)
ival-mult: 12.0ms (27.9% of total)adjust: 7.0ms (16.3% of total)ival-cos: 7.0ms (16.3% of total)const: 6.0ms (13.9% of total)ival-div: 6.0ms (13.9% of total)ival-add: 4.0ms (9.3% of total)exact: 1.0ms (2.3% of total)ival-sinh: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt y (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* -1/12 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* (pow y 2) (- (* 7/720 (pow y 2)) 1/12))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 7/720 (* -31/30240 (pow y 2)))) 1/12))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh 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) (/ 1/2 (sinh y)) (* y y)) |
| 2.0ms | y | @ | -inf | ((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh 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) (/ 1/2 (sinh y)) (* y y)) |
| 2.0ms | x | @ | 0 | ((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh 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) (/ 1/2 (sinh y)) (* y y)) |
| 1.0ms | x | @ | inf | ((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh 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) (/ 1/2 (sinh y)) (* y y)) |
| 1.0ms | x | @ | -inf | ((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh 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) (/ 1/2 (sinh y)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 3080 |
| 1 | 295 | 3045 |
| 2 | 877 | 2843 |
| 3 | 2797 | 2803 |
| 4 | 5965 | 2803 |
| 0 | 8481 | 2671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(/ 1/2 y) |
(/ (+ 1/2 (* -1/12 (pow y 2))) y) |
(/ (+ 1/2 (* (pow y 2) (- (* 7/720 (pow y 2)) 1/12))) y) |
(/ (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 7/720 (* -31/30240 (pow y 2)))) 1/12))) y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(/ 1 (- (exp y) (/ 1 (exp y)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(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) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(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) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.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))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
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(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 126 |
| 0 | 46 | 120 |
| 1 | 127 | 114 |
| 2 | 710 | 114 |
| 3 | 5393 | 114 |
| 0 | 8299 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) |
(cos.f64 x) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) |
#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) |
(sinh.f64 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) |
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) |
(*.f64 y y) |
| Outputs |
|---|
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Compiled 20 631 to 2 668 computations (87.1% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 340 | 12 | 1 352 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 344 | 14 | 1 358 |
| Status | Accuracy | Program |
|---|---|---|
| 52.9% | (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y)) | |
| ▶ | 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)))) |
| 58.1% | (*.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)))) | |
| 53.9% | (*.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)))) | |
| 17.0% | (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) | |
| ✓ | 61.7% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| 57.2% | (*.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)))) | |
| ▶ | 54.3% | (*.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)))) |
| ▶ | 48.7% | (*.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)))) |
| ✓ | 53.1% | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
| ▶ | 39.7% | #s(approx (* (cos x) (/ (sinh y) y)) #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)))) |
| 34.3% | #s(approx (* (cos x) (/ (sinh y) y)) #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)))) | |
| 34.6% | #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)))) | |
| ▶ | 30.0% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
Compiled 350 to 269 computations (23.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #s(approx (* (cos x) (/ (sinh y) y)) #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)))) | |
| 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 | (*.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))) #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 | 36 | 325 |
| 0 | 61 | 325 |
| 1 | 115 | 325 |
| 2 | 192 | 325 |
| 3 | 424 | 325 |
| 4 | 915 | 325 |
| 5 | 1343 | 325 |
| 6 | 1808 | 325 |
| 7 | 2947 | 325 |
| 8 | 4313 | 325 |
| 9 | 5307 | 325 |
| 10 | 5861 | 325 |
| 11 | 6064 | 325 |
| 12 | 7019 | 325 |
| 0 | 8029 | 325 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) (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) |
#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(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) |
#s(approx (* (cos x) (/ (sinh y) y)) #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 (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))) |
(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)) |
(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)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal -1/2 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 (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))) #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) |
#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(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) |
#s(approx (* (cos x) (/ (sinh y) y)) #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 (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))) |
(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)) |
(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)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (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)) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 30.014287982672386 | #s(approx (* (cos x) (/ (sinh y) y)) #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)))) | |
| accuracy | 32.60969726685361 | #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))) | |
| accuracy | 0.03515625 | (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 | 0.05078125 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 6.864504395375266 | #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 | 30.368383556739012 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 12.806862472989021 | #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 30.368383556739012 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 30.014287982672386 | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) | |
| accuracy | 30.368383556739012 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 0.0390625 | (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 | 0.27145471047115977 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 4.273393900416952 | #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 | 32.6774476922575 | #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
| 95.0ms | 256× | 0 | valid |
Compiled 473 to 69 computations (85.4% saved)
ival-mult: 31.0ms (40.9% of total)const: 20.0ms (26.4% of total)ival-add: 13.0ms (17.1% of total)ival-cos: 7.0ms (9.2% of total)ival-div: 2.0ms (2.6% of total)ival-sinh: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #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)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (cos x) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #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)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #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)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #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)))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 6)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 4)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (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)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24)) |
| 3.0ms | y | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (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)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24)) |
| 2.0ms | y | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (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)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24)) |
| 2.0ms | x | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (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)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24)) |
| 1.0ms | y | @ | 0 | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (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)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 3492 |
| 1 | 351 | 3457 |
| 2 | 986 | 3267 |
| 3 | 2672 | 3219 |
| 4 | 6090 | 3199 |
| 0 | 8223 | 3009 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
-1/2 |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
1/24 |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
| Outputs |
|---|
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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 x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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 x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(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)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(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)) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(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)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* -1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 272 |
| 0 | 61 | 272 |
| 1 | 242 | 272 |
| 2 | 1675 | 272 |
| 0 | 8499 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) (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) |
#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)) |
#s(approx (* (cos x) (/ (sinh y) y)) #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 (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))) |
(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)) |
(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)) |
#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)) |
(*.f64 y y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
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Compiled 20 879 to 2 247 computations (89.2% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 808 | 18 | 826 |
| Fresh | 4 | 3 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 815 | 25 | 840 |
| Status | Accuracy | Program |
|---|---|---|
| 52.9% | (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y)) | |
| ▶ | 60.9% | (*.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 (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)))) |
| 58.7% | (*.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(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 55.8% | (*.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 (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)))) | |
| 54.0% | (*.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(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #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 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 60.5% | (*.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) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 58.1% | (*.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)))) |
| ▶ | 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 (+.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 y y) #s(literal 1 binary64)))) |
| 53.9% | (*.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)))) | |
| 17.0% | (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) | |
| 57.2% | (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #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)))) | |
| ✓ | 61.7% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| 54.3% | (*.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)))) | |
| ✓ | 54.3% | (*.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)))) |
| 48.7% | (*.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)))) | |
| ▶ | 54.0% | (*.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)))) |
| 27.1% | (*.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)))) | |
| 21.5% | (*.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))))) | |
| ✓ | 53.1% | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
| 39.7% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 34.3% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 34.6% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | 30.0% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
Compiled 842 to 601 computations (28.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))) #s(approx (/ (sinh y) y) (fma.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 y y) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (+.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)) | |
| 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))) #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 | (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)) | |
| cost-diff | 0 | #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))) | |
| 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 (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (*.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 (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 | 58 | 603 |
| 0 | 96 | 599 |
| 1 | 174 | 599 |
| 2 | 262 | 599 |
| 3 | 516 | 599 |
| 4 | 1024 | 599 |
| 5 | 1533 | 599 |
| 6 | 2002 | 599 |
| 7 | 3180 | 599 |
| 8 | 4582 | 599 |
| 9 | 5569 | 599 |
| 10 | 6127 | 599 |
| 11 | 6362 | 599 |
| 12 | 7552 | 599 |
| 0 | 8061 | 595 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (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) (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))) |
(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)) |
(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)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal -1/2 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) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 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) (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)))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#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))) |
(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)) |
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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) (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) |
#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) |
(*.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 (*.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 y y) #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) |
#s(approx (/ (sinh y) y) (fma.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 y y) #s(literal 1 binary64))) |
(fma.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 y y) #s(literal 1 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 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(*.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 (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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #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 (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 (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(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)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal -1/2 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) 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 (*.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 #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(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 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) (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 (/ (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))) #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 (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(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)) |
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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 (/ (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 (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) |
#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) |
(*.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 (*.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 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.f64 y y) #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 #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) |
#s(approx (/ (sinh y) y) (fma.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 y y) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (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)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.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 y y) #s(literal 1 binary64)) |
(fma.f64 (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)) (*.f64 y y) #s(literal 1 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)) |
(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)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) | |
| accuracy | 0.27145471047115977 | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 4.273393900416952 | #s(approx (/ (sinh y) y) (fma.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 y y) #s(literal 1 binary64))) | |
| accuracy | 32.6774476922575 | #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.0390625 | (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 4.273393900416952 | #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 | 29.683866079798147 | #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) | |
| accuracy | 32.6774476922575 | #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) | |
| accuracy | 6.864504395375266 | #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))) | |
| accuracy | 30.368383556739012 | #s(approx (cos x) #s(literal 1 binary64)) | |
| accuracy | 32.11172254940509 | #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) | |
| accuracy | 0.03515625 | (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 30.014287982672386 | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 32.58589919282373 | #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) | |
| accuracy | 32.60969726685361 | #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 0.27145471047115977 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 4.273393900416952 | #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 | 32.60969726685361 | #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))) |
| 99.0ms | 256× | 0 | valid |
Compiled 804 to 86 computations (89.3% saved)
ival-mult: 31.0ms (42.8% of total)ival-add: 16.0ms (22.1% of total)const: 14.0ms (19.3% of total)ival-cos: 7.0ms (9.7% of total)ival-div: 2.0ms (2.8% of total)ival-sinh: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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 (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)))) (patch (*.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 (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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (patch #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ()) |
#s(alt (*.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 (*.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 y y) #s(literal 1 binary64)))) (patch (*.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 (*.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 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.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 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.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 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (cos x) (taylor 0 y) (#s(alt (*.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 (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)))) (patch (*.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 (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.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 (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)))) (patch (*.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 (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.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 (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)))) (patch (*.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 (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.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 (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)))) (patch (*.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 (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)))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt 1/6 (taylor 0 y) (#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) (taylor 0 y) (#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) (taylor 0 y) (#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor 0 y) (#s(alt (*.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 (*.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 y y) #s(literal 1 binary64)))) (patch (*.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 (*.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 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.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 (*.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 y y) #s(literal 1 binary64)))) (patch (*.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 (*.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 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.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 (*.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 y y) #s(literal 1 binary64)))) (patch (*.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 (*.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 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.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 (*.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 y y) #s(literal 1 binary64)))) (patch (*.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 (*.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 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.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 (*.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 y y) #s(literal 1 binary64)))) (patch (*.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 (*.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 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.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 (*.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 y y) #s(literal 1 binary64)))) (patch (*.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 (*.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 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh 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) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y)) |
| 3.0ms | y | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh 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) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y)) |
| 2.0ms | y | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh 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) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y)) |
| 2.0ms | x | @ | inf | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh 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) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y)) |
| 2.0ms | x | @ | -inf | ((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh 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) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 4264 |
| 1 | 364 | 4229 |
| 2 | 1020 | 4039 |
| 3 | 2691 | 3983 |
| 4 | 5782 | 3963 |
| 0 | 8684 | 3709 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(cos x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(* 1/120 y) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
(* 1/120 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
-1/2 |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
-1/2 |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) |
(+ (* 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))))) |
(+ (* 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))))))) |
1/24 |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
| Outputs |
|---|
(cos x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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 x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) |
(*.f64 (cos.f64 x) (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 x) |
(cos.f64 x) |
(+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) |
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x)) |
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(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* -1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 467 |
| 0 | 96 | 464 |
| 1 | 360 | 464 |
| 2 | 2064 | 464 |
| 0 | 8129 | 460 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (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) (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))) |
(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)) |
(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)) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) |
(*.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)))) |
#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))) |
(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) (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)))) |
#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 (*.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(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 (*.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 y y) #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 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 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))) |
(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 (/ (sinh y) y) (fma.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 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) |
| Outputs |
|---|
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Compiled 26 683 to 2 302 computations (91.4% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 900 | 12 | 912 |
| Fresh | 6 | 10 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 909 | 28 | 937 |
| Status | Accuracy | Program |
|---|---|---|
| 52.9% | (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y)) | |
| 60.9% | (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 58.4% | (*.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 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| 55.8% | (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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)))) | |
| 54.0% | (*.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)))) | |
| 55.8% | (*.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 (+.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 y y) #s(literal 1 binary64)))) | |
| 53.6% | (*.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 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| 60.9% | (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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)))) | |
| 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 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #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 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 53.9% | (*.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)))) | |
| 60.3% | (*.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 #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)))) | |
| 57.7% | (*.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 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| 57.2% | (*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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)))) | |
| 17.0% | (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) | |
| 57.2% | (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 y y) #s(literal 1 binary64)))) | |
| ✓ | 61.7% | (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| 54.3% | (*.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)))) | |
| ✓ | 54.3% | (*.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)))) |
| 48.7% | (*.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)))) | |
| ✓ | 54.0% | (*.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)))) |
| 27.1% | (*.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)))) | |
| 21.5% | (*.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))))) | |
| ✓ | 53.1% | #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) |
| 39.7% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 34.3% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 34.6% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | 30.0% | #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
Compiled 1 460 to 543 computations (62.8% 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #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 (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(approx (+ (* -1/2 (* x x)) 1) #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(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 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 #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 #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) (*.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 (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 #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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.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 (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 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) 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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #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 (*.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 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 #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) (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 (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(approx (+ (* -1/720 (* x x)) 1/24) #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)))) |
(*.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(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 (+.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 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #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)) (cos.f64 x)) |
(*.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) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (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 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 41.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 14.0ms | x |
| 14.0ms | y |
| 14.0ms | (cos.f64 x) |
| 13.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 100.0% | 1 | (cos.f64 x) |
| 100.0% | 1 | (/.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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #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 (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(approx (+ (* -1/2 (* x x)) 1) #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(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 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 #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 #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) (*.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 (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 #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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.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 (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 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) 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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #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 (*.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 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 #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) (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 (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(approx (+ (* -1/720 (* x x)) 1/24) #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)))) |
(*.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(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 (+.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 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #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)) (cos.f64 x)) |
(*.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) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (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 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) |
(*.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:
| 169.0ms | (/.f64 (sinh.f64 y) y) |
| 18.0ms | y |
| 14.0ms | x |
| 13.0ms | (cos.f64 x) |
| 12.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | x |
| 98.4% | 3 | y |
| 100.0% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 96.3% | 2 | (cos.f64 x) |
| 93.3% | 1 | (/.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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #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 (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(approx (+ (* -1/2 (* x x)) 1) #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(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 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 #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 #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) (*.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 (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 #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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.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 (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 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) 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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #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 (*.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 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 #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) (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 (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(approx (+ (* -1/720 (* x x)) 1/24) #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)))) |
(*.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(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 (+.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 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #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)) (cos.f64 x)) |
(*.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) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) |
#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:
| 11.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #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 (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(approx (+ (* -1/2 (* x x)) 1) #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(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 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 #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 #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) (*.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 (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 #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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.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 (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 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) 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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #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 (*.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 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 #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) (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 (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(approx (+ (* -1/720 (* x x)) 1/24) #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)))) |
(*.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(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 (+.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 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #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)) (cos.f64 x)) |
(*.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)))) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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:
| 11.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #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 (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(approx (+ (* -1/2 (* x x)) 1) #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(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 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 #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 #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) (*.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 (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 #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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.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 (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 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) 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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #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 (*.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 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 #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) (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 (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(approx (+ (* -1/720 (* x x)) 1/24) #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)))) |
(*.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(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 (+.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 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #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)) (cos.f64 x)) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (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:
| 14.0ms | (cos.f64 x) |
| 12.0ms | x |
| 12.0ms | y |
| 10.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 10.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 2 | (/.f64 (sinh.f64 y) y) |
| 73.9% | 3 | x |
| 76.2% | 3 | (cos.f64 x) |
| 86.1% | 2 | y |
| 96.3% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #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 (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(approx (+ (* -1/2 (* x x)) 1) #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(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 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 #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 #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) (*.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 (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 #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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.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 (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 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) 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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #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 (*.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 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 #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) (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 (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(approx (+ (* -1/720 (* x x)) 1/24) #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)))) |
(*.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(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 (+.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 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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:
| 28.0ms | (/.f64 (sinh.f64 y) y) |
| 12.0ms | y |
| 11.0ms | (cos.f64 x) |
| 10.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 2 | (cos.f64 x) |
| 63.5% | 2 | y |
| 63.4% | 2 | (/.f64 (sinh.f64 y) y) |
| 72.7% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #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 (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(approx (+ (* -1/2 (* x x)) 1) #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(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 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 #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 #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) (*.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 (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 #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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (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)) (*.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 (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 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) 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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #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 (*.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 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 #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) (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 (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(approx (+ (* -1/720 (* x x)) 1/24) #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)))) |
(*.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(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 (+.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 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 #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 (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)))) |
2 calls:
| 25.0ms | (cos.f64 x) |
| 13.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 72.5% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #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 (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(approx (+ (* -1/2 (* x x)) 1) #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(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #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(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.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 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 #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 (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)))) |
3 calls:
| 15.0ms | x |
| 7.0ms | (cos.f64 x) |
| 6.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 2 | x |
| 71.8% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 71.8% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
(*.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 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 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 #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 (fma.f64 #s(literal 1/120 binary64) (*.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 |
|---|---|---|
| 68.8% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 68.8% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x x) #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 (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)))) |
| 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:
| 7.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | (cos.f64 x) |
| 68.4% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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 (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) (fma.f64 #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
4 calls:
| 6.0ms | y |
| 4.0ms | (cos.f64 x) |
| 4.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 1 | (/.f64 (sinh.f64 y) y) |
| 54.3% | 1 | y |
| 62.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 62.1% | 2 | (cos.f64 x) |
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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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)))) |
| Outputs |
|---|
#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)))) |
(*.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:
| 4.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 2 | (cos.f64 x) |
| 61.8% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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) (fma.f64 #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)))) |
(*.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:
| 4.0ms | x |
| 3.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 3 | x |
| 56.5% | 2 | (cos.f64 x) |
| 62.0% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* 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) (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 (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) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #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) (fma.f64 #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)))) |
2 calls:
| 24.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 3.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.5% | 2 | (cos.f64 x) |
| 56.5% | 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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #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 (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
#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) #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))))) |
4 calls:
| 8.0ms | (/.f64 (sinh.f64 y) y) |
| 3.0ms | (cos.f64 x) |
| 2.0ms | y |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.4% | 2 | (/.f64 (sinh.f64 y) y) |
| 51.7% | 3 | y |
| 56.2% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 42.0% | 3 | (cos.f64 x) |
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) (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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#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) #s(literal 1 binary64))) |
5 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (cos.f64 x) |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 2 | (cos.f64 x) |
| 37.0% | 2 | (/.f64 (sinh.f64 y) y) |
| 37.1% | 2 | y |
| 34.6% | 1 | x |
| 37.7% | 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:
| 4.0ms | x |
| 1.0ms | (cos.f64 x) |
| 1.0ms | y |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.0% | 1 | x |
| 30.0% | 1 | (/.f64 (sinh.f64 y) y) |
| 30.0% | 1 | y |
| 30.0% | 1 | (cos.f64 x) |
| 30.0% | 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 | 1.000021681337335 | +inf |
| 0.0ms | -inf | -0.9984808834508837 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.99989366517186 | 1.0 |
| 0.0ms | -inf | -0.9984808834508837 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.99989366517186 | 1.0 |
| 0.0ms | -inf | -0.9984808834508837 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.99989366517186 | 1.0 |
| 0.0ms | -inf | -0.9984808834508837 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06455427315477492 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.03861304538659104 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.03861304538659104 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06455427315477492 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06455427315477492 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06455427315477492 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06455427315477492 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000021681337335 | +inf |
| 0.0ms | -0.06455427315477492 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.03861304538659104 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000021681337335 | +inf |
| 0.0ms | -0.06455427315477492 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.06455427315477492 | 0.01013080140584864 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1050 |
| 1 | 155 | 1050 |
| 1× | saturated |
| 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) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125780184469527/1125899906842624 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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 1125780184469527/1125899906842624 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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.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 (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 -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 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 #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 (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 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 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 #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 (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 -3602879701896397/72057594037927936 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 #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 (fma.f64 #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 -3602879701896397/72057594037927936 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 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 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)))) (*.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 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 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)))) (*.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 -3602879701896397/72057594037927936 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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 -5764607523034235/288230376151711744 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)))) (*.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 -3602879701896397/72057594037927936 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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 -3602879701896397/72057594037927936 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) #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)) |
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #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)) (*.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) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125780184469527/1125899906842624 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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 1125780184469527/1125899906842624 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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 1125780184469527/1125899906842624 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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 1125780184469527/1125899906842624 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(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.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 (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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.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 (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 -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.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 (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 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 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 #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 (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 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 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 #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) (fma.f64 #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 (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 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 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 #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 (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 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #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))) #s(approx (cos x) (fma.f64 #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 (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 -3602879701896397/72057594037927936 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 #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #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))) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 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 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #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 #s(literal -1/2 binary64) (*.f64 x x) #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)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 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)))) (*.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 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 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)))) (*.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)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 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)))) (*.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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 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)))) (*.f64 #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))) #s(approx (cos x) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 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)))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #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))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 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)))) (*.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 -5764607523034235/288230376151711744 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)))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 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)))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 2 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) #s(approx (cos x) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 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) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 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) #s(literal 1 binary64)))) |
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 272 |
| 0 | 61 | 272 |
| 1 | 242 | 272 |
| 2 | 1675 | 272 |
| 0 | 8499 | 272 |
| 0 | 111 | 3080 |
| 1 | 295 | 3045 |
| 2 | 877 | 2843 |
| 3 | 2797 | 2803 |
| 4 | 5965 | 2803 |
| 0 | 8481 | 2671 |
| 0 | 84 | 686 |
| 1 | 241 | 679 |
| 2 | 744 | 635 |
| 3 | 2418 | 627 |
| 4 | 5284 | 623 |
| 5 | 7975 | 623 |
| 0 | 8399 | 593 |
| 0 | 130 | 4264 |
| 1 | 364 | 4229 |
| 2 | 1020 | 4039 |
| 3 | 2691 | 3983 |
| 4 | 5782 | 3963 |
| 0 | 8684 | 3709 |
| 0 | 126 | 3492 |
| 1 | 351 | 3457 |
| 2 | 986 | 3267 |
| 3 | 2672 | 3219 |
| 4 | 6090 | 3199 |
| 0 | 8223 | 3009 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 471 to 715 computations (51.4% saved)
(abs x)
(abs y)
Compiled 1 912 to 462 computations (75.8% saved)
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