
Time bar (total: 10.8s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 98.4% | 98.3% | 1.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 868.0ms | 8 256× | 0 | valid |
ival-sin: 326.0ms (49.5% of total)ival-mult: 164.0ms (24.9% of total)ival-div: 119.0ms (18.1% of total)ival-sinh: 40.0ms (6.1% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 0 | - | 4 | (-9.753405226265945e-228 -3.0674400712720784e-83) | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) | u/n | 33 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 4 |
| - | 0 | 219 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 4 |
| - | 0 | 0 | 219 |
| number | freq |
|---|---|
| 0 | 223 |
| 1 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 512× | 0 | valid |
Compiled 49 to 22 computations (55.1% saved)
ival-sin: 12.0ms (54.6% of total)ival-div: 4.0ms (18.2% of total)ival-mult: 3.0ms (13.6% of total)ival-sinh: 3.0ms (13.6% of total)ival-true: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 266× | lower-fma.f64 |
| 1 266× | lower-fma.f32 |
| 834× | lower-*.f32 |
| 833× | lower-*.f64 |
| 472× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 60 | 41 |
| 2 | 192 | 37 |
| 3 | 708 | 37 |
| 4 | 2231 | 37 |
| 5 | 5292 | 37 |
| 6 | 7334 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 39 | 7 |
| 3 | 78 | 7 |
| 4 | 163 | 7 |
| 5 | 343 | 7 |
| 6 | 867 | 7 |
| 7 | 1769 | 7 |
| 8 | 3025 | 7 |
| 9 | 4048 | 7 |
| 10 | 4540 | 7 |
| 11 | 4617 | 7 |
| 12 | 4617 | 7 |
| 13 | 4617 | 7 |
| 14 | 5037 | 7 |
| 15 | 5221 | 7 |
| 16 | 5221 | 7 |
| 17 | 5221 | 7 |
| 18 | 5221 | 7 |
| 19 | 5259 | 7 |
| 20 | 5345 | 7 |
| 21 | 5345 | 7 |
| 22 | 5345 | 7 |
| 0 | 5345 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(abs x)
(negabs y)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.5% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 1 266× | lower-fma.f64 |
| 1 266× | lower-fma.f32 |
| 834× | lower-*.f32 |
| 833× | lower-*.f64 |
| 472× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 19 | 18 |
| 2 | 39 | 18 |
| 3 | 78 | 18 |
| 4 | 163 | 18 |
| 5 | 343 | 18 |
| 6 | 867 | 18 |
| 7 | 1769 | 18 |
| 8 | 3025 | 18 |
| 9 | 4048 | 18 |
| 10 | 4540 | 18 |
| 11 | 4617 | 18 |
| 12 | 4617 | 18 |
| 13 | 4617 | 18 |
| 14 | 5037 | 18 |
| 15 | 5221 | 18 |
| 16 | 5221 | 18 |
| 17 | 5221 | 18 |
| 18 | 5221 | 18 |
| 19 | 5259 | 18 |
| 20 | 5345 | 18 |
| 21 | 5345 | 18 |
| 22 | 5345 | 18 |
| 0 | 5345 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sinh.f64 y) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.0625 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| accuracy | 8.011633540140203 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 19.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 8.0ms (64.2% of total)ival-div: 2.0ms (16.1% of total)ival-mult: 2.0ms (16.1% of total)ival-sinh: 1.0ms (8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sin x)) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<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 (- (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)))) (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>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | y | @ | -inf | (/ (* (sin x) (sinh y)) x) |
| 2.0ms | y | @ | inf | (/ (* (sin x) (sinh y)) x) |
| 1.0ms | y | @ | 0 | (/ (* (sin x) (sinh y)) x) |
| 1.0ms | x | @ | inf | (/ (* (sin x) (sinh y)) x) |
| 1.0ms | x | @ | -inf | (/ (* (sin x) (sinh y)) x) |
| 1× | egg-herbie |
| 7 596× | lower-fma.f64 |
| 7 596× | lower-fma.f32 |
| 3 188× | lower-+.f64 |
| 3 188× | lower-+.f32 |
| 1 979× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 944 |
| 1 | 373 | 889 |
| 2 | 1229 | 849 |
| 3 | 3047 | 828 |
| 0 | 8158 | 792 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
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 (- (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)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) y) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 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)))) |
(*.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)) |
| 2 430× | lower-*.f32 |
| 2 429× | lower-*.f64 |
| 2 086× | lower-/.f32 |
| 2 085× | lower-/.f64 |
| 737× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 27 | 16 |
| 2 | 117 | 16 |
| 3 | 840 | 16 |
| 0 | 8257 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sin.f64 x) |
(sinh.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sinh.f64 y)))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 y)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) x) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (/.f64 (/.f64 (sin.f64 x) x) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (sin.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) x)) (sin.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 (sin.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal -1/2 binary64) (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (sin.f64 x)) x))) |
(*.f64 (neg.f64 (sinh.f64 y)) (pow.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sinh.f64 y)) (sin.f64 x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 x)) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)))) #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (sinh.f64 y) (sin.f64 x))) |
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(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 y y))) (exp.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1/8 binary64) (neg.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (+.f64 (+.f64 (exp.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (exp.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 y y)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) (exp.f64 (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (neg.f64 (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 y) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))) (fma.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1/8 binary64) (neg.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (exp.f64 y) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(sinh.f64 y) |
(neg.f64 (*.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (exp.f64 (+.f64 y y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) (/.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64)) (exp.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
Compiled 9 363 to 1 544 computations (83.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 12 | 565 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 554 | 12 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| 79.7% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| ▶ | 78.1% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| ▶ | 71.5% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| 67.8% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) | |
| 52.5% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x)) (sinh.f64 y)) x) | |
| 52.4% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) | |
| ▶ | 99.9% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 71.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) |
| 39.4% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) | |
| 87.4% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) | |
| ▶ | 51.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
Compiled 358 to 218 computations (39.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| cost-diff | 0 | #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 x (sin.f64 x)) | |
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 384 | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| 2 529× | lower-fma.f32 |
| 2 526× | lower-fma.f64 |
| 1 611× | lower-*.f32 |
| 1 601× | lower-*.f64 |
| 626× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 279 |
| 0 | 59 | 279 |
| 1 | 97 | 279 |
| 2 | 162 | 279 |
| 3 | 329 | 268 |
| 4 | 723 | 268 |
| 5 | 1180 | 268 |
| 6 | 2181 | 268 |
| 7 | 3623 | 268 |
| 8 | 4685 | 268 |
| 9 | 6166 | 268 |
| 10 | 6709 | 268 |
| 11 | 7370 | 268 |
| 12 | 7764 | 268 |
| 13 | 7978 | 268 |
| 0 | 8023 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(sinh.f64 y) |
y |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
y |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal 1 binary64) |
(sin.f64 x) |
x |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) 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)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(sinh.f64 y) |
y |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
y |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y) |
(*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal 1 binary64) |
(sin.f64 x) |
x |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y)) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) 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)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| accuracy | 0.09375 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 5.956029736139392 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| accuracy | 8.011633540140203 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| accuracy | 0.0625 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) | |
| accuracy | 0.30078125 | (*.f64 #s(literal 1/6 binary64) y) | |
| accuracy | 8.011633540140203 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) | |
| accuracy | 10.130682249220374 | #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) | |
| accuracy | 0.30078125 | (*.f64 #s(literal 1/6 binary64) y) | |
| accuracy | 5.45037697916735 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) | |
| accuracy | 8.011633540140203 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) | |
| accuracy | 13.04189707555917 | #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.09765625 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| accuracy | 0.125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 30.783508014123424 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| accuracy | 0 | (sinh.f64 y) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.03515625 | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) | |
| accuracy | 0.1171875 | (/.f64 x (sin.f64 x)) |
| 89.0ms | 256× | 0 | valid |
Compiled 191 to 28 computations (85.3% saved)
ival-mult: 28.0ms (40% of total)ival-div: 24.0ms (34.2% of total)const: 7.0ms (10% of total)ival-sin: 6.0ms (8.6% of total)ival-add: 3.0ms (4.3% of total)ival-sinh: 2.0ms (2.9% 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 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 x) x) y) (patch (*.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) (patch (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | 0 | (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) |
| 4.0ms | y | @ | inf | (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) |
| 1.0ms | x | @ | inf | (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) |
| 1.0ms | x | @ | -inf | (* (/ (sin x) x) y) |
| 1.0ms | x | @ | inf | (/ x (sin x)) |
| 1× | egg-herbie |
| 9 235× | lower-fma.f64 |
| 9 235× | lower-fma.f32 |
| 2 743× | lower-*.f64 |
| 2 743× | lower-*.f32 |
| 2 468× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 4618 |
| 1 | 705 | 4245 |
| 2 | 2556 | 4105 |
| 3 | 6401 | 4105 |
| 0 | 8514 | 3911 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
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 (- (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)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* 1/6 (* (pow y 3) (sin x))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 3) (sin x))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* x (* y (+ 1 (* 1/6 (pow y 2))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
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 (- (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)))) |
(* 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)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
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 (- (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)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
| Outputs |
|---|
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.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)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal -1/12 binary64))) x) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) x) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) 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)))) |
(*.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 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
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(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) 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)))) |
(*.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)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal -1/12 binary64))) x) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) x) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal -1/12 binary64))) x) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) x) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) 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)))) |
(*.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)) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
| 3 477× | lower-fma.f32 |
| 3 474× | lower-fma.f64 |
| 2 654× | lower-*.f32 |
| 2 644× | lower-*.f64 |
| 1 854× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 198 |
| 0 | 59 | 198 |
| 1 | 171 | 198 |
| 2 | 908 | 189 |
| 0 | 8180 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(sinh.f64 y) |
(/.f64 x (sin.f64 x)) |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 #s(literal 1/120 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) #s(literal -1 binary64)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) #s(literal -1 binary64)) (sin.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sinh.f64 y)) x)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 y))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sinh.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (sinh.f64 y))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sin.f64 x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) #s(literal -1 binary64)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 y))) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 x))) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (neg.f64 (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y))) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (+.f64 (neg.f64 y) (neg.f64 y)))) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (+.f64 (neg.f64 y) (neg.f64 y)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 x)) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x))))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y))) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sin.f64 x))) (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x)))) |
(-.f64 (/.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x)))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (+.f64 (neg.f64 y) (neg.f64 y)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
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(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (neg.f64 x))) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) x)) |
(pow.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(literal 1 binary64)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)))) |
(/.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) x) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 x (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) (neg.f64 x))))) |
(neg.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) (sin.f64 x)) |
(*.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (neg.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))))) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)))) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
(*.f64 y #s(literal 1/120 binary64)) |
Compiled 15 974 to 1 539 computations (90.4% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 985 | 16 | 1 001 |
| Fresh | 6 | 1 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 993 | 20 | 1 013 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.7% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
| ✓ | 78.1% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| ✓ | 71.5% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| 67.8% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) | |
| 47.2% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 43.8% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) | |
| 47.3% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| ▶ | 43.9% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| ▶ | 65.6% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
| 43.9% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) y)) x) | |
| ▶ | 44.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
| ✓ | 51.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 38.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) | |
| 66.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) | |
| 51.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) y)) | |
| 39.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 39.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) | |
| 37.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ▶ | 30.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 39.2% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
Compiled 682 to 384 computations (43.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ x (sin x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) | |
| cost-diff | 0 | #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
| 3 366× | lower-fma.f32 |
| 3 360× | lower-fma.f64 |
| 1 575× | lower-*.f32 |
| 1 563× | lower-*.f64 |
| 1 026× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 410 |
| 0 | 81 | 410 |
| 1 | 137 | 410 |
| 2 | 232 | 402 |
| 3 | 439 | 398 |
| 4 | 1181 | 398 |
| 5 | 2215 | 398 |
| 6 | 4265 | 398 |
| 7 | 5762 | 398 |
| 8 | 7716 | 398 |
| 0 | 8033 | 386 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y) |
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) |
y |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y) |
#s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(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) |
x |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(sinh.f64 y) |
y |
#s(approx (/ x (sin x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y))) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) |
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
y |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) 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)) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y) |
(*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)) y) |
#s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x)) x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y))) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(sinh.f64 y) |
y |
#s(approx (/ x (sin x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sinh.f64 y) | |
| accuracy | 0.03515625 | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| accuracy | 29.88379186889528 | #s(approx (/ x (sin x)) #s(literal 1 binary64)) | |
| accuracy | 0.30078125 | (*.f64 #s(literal 1/6 binary64) y) | |
| accuracy | 8.011633540140203 | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) | |
| accuracy | 10.130682249220374 | #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) | |
| accuracy | 29.98108859343798 | #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| accuracy | 5.41522072916735 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) | |
| accuracy | 8.011633540140203 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) | |
| accuracy | 13.04189707555917 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) | |
| accuracy | 25.847645081668528 | #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) | |
| accuracy | 0.09765625 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| accuracy | 29.71115567260568 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| accuracy | 30.783508014123424 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 0.18359375 | (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) | |
| accuracy | 4.926872265489028 | #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) | |
| accuracy | 8.011633540140203 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
| 100.0ms | 256× | 0 | valid |
Compiled 241 to 39 computations (83.8% saved)
ival-mult: 32.0ms (40.2% of total)const: 16.0ms (20.1% of total)ival-add: 15.0ms (18.8% of total)ival-sin: 7.0ms (8.8% of total)ival-div: 6.0ms (7.5% 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 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) (patch (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y) (patch (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) (patch (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (patch (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (sin x)) #s(literal 1 binary64)) (patch #s(approx (/ x (sin x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* (+ (* -1/6 (* x x)) 1) x) |
| 0.0ms | y | @ | inf | (* y (+ (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) 1/6)) |
| 0.0ms | y | @ | -inf | (* y (+ (* (* (+ (* 1/5040 (* y y)) 1/120) y) y) 1/6)) |
| 0.0ms | x | @ | 0 | (* (+ (* -1/6 (* x x)) 1) x) |
| 0.0ms | x | @ | inf | (* (+ (* (* y y) 1/6) 1) x) |
| 1× | egg-herbie |
| 9 228× | lower-fma.f64 |
| 9 228× | lower-fma.f32 |
| 2 801× | lower-*.f64 |
| 2 801× | lower-*.f32 |
| 2 575× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 5160 |
| 1 | 821 | 4757 |
| 2 | 2862 | 4621 |
| 3 | 7097 | 4619 |
| 0 | 8162 | 4375 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
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 (- (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)))) |
(* 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)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* 1/6 (* (pow y 3) (sin x))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 3) (sin x))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* x (* y (+ 1 (* 1/6 (pow y 2))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
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 (- (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)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (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))))) |
(* 1/5040 (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))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (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 (- (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)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal -1/12 binary64))) x) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (*.f64 (sin.f64 x) y)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal 1/240 binary64) x) x #s(literal -1/12 binary64))) x) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64)))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
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(*.f64 #s(literal 1/6 binary64) y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 (fma.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) |
(* 1/5040 (pow y 5)) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/5040 binary64)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/5040 (pow y 5)) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/5040 binary64)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal -1/5040 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal -1/5040 binary64)) (pow.f64 y #s(literal 5 binary64))) |
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)) |
(* 1/5040 (pow y 2)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* 1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* 1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 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)))) |
(*.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)) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
| 3 211× | lower-fma.f32 |
| 3 205× | lower-fma.f64 |
| 2 446× | lower-*.f32 |
| 2 434× | lower-*.f64 |
| 1 901× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 320 |
| 0 | 81 | 320 |
| 1 | 251 | 317 |
| 2 | 1307 | 317 |
| 0 | 8242 | 314 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) |
(sin.f64 x) |
#s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y) |
#s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(sinh.f64 y) |
#s(approx (/ x (sin x)) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #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)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
(*.f64 #s(literal 1/6 binary64) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)) x)) |
(*.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)) (/.f64 (sin.f64 x) x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))))) |
(/.f64 (sin.f64 x) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y)))) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (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)) y))) x) |
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(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 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)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/5040 binary64) y) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x))) (-.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)))) (-.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x)) (*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x)) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) x) |
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x)) |
(+.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) |
#s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 y #s(literal 1/6 binary64)) |
Compiled 17 269 to 1 629 computations (90.6% saved)
29 alts after pruning (21 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 762 | 14 | 776 |
| Fresh | 5 | 7 | 12 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 767 | 29 | 796 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.7% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
| ✓ | 78.1% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| ✓ | 71.5% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| ▶ | 67.8% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) |
| 34.2% | (/.f64 (*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) | |
| ▶ | 48.1% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
| 47.3% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| ✓ | 43.9% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| ▶ | 13.9% | (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| ✓ | 65.6% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
| ▶ | 44.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
| 27.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x)))) y)) x) | |
| ✓ | 44.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
| 44.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) | |
| 60.1% | (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 59.3% | (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 55.2% | (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 59.4% | (/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 59.4% | (*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) | |
| 44.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) | |
| ✓ | 51.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 38.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) | |
| 66.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) | |
| 51.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) y)) | |
| 39.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 39.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ▶ | 37.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
| ✓ | 30.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 39.2% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
Compiled 1 007 to 553 computations (45.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) | |
| cost-diff | 0 | #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) | |
| cost-diff | 0 | #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) | |
| cost-diff | 7040 | (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
| 4 883× | lower-fma.f32 |
| 4 877× | lower-fma.f64 |
| 1 723× | lower-*.f32 |
| 1 707× | lower-*.f64 |
| 1 080× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 566 |
| 0 | 98 | 566 |
| 1 | 162 | 566 |
| 2 | 285 | 540 |
| 3 | 495 | 540 |
| 4 | 1253 | 540 |
| 5 | 2382 | 516 |
| 6 | 4795 | 516 |
| 7 | 6492 | 516 |
| 0 | 8122 | 500 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp.f64 y) |
y |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) |
(*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y) |
#s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
x |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y) |
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) |
y |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (sinh.f64 y))) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (sinh y) (sinh.f64 y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(sinh.f64 y) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp.f64 y) |
y |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) |
(*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y) |
(*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y) |
#s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) |
#s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
x |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x))))) |
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x))))) |
#s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) x) #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y) |
(*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y) |
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) |
(*.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)) y) |
y |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.18359375 | (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) | |
| accuracy | 4.926872265489028 | #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) | |
| accuracy | 8.011633540140203 | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) | |
| accuracy | 29.98108859343798 | #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| accuracy | 8.011633540140203 | (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) | |
| accuracy | 10.130682249220374 | #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) | |
| accuracy | 29.98108859343798 | #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) | |
| accuracy | 32.026409498424904 | #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| accuracy | 5.41522072916735 | (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x) | |
| accuracy | 8.011633540140203 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) | |
| accuracy | 13.04189707555917 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) | |
| accuracy | 25.847645081668528 | #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.09765625 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) | |
| accuracy | 30.01527241587512 | #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 30.783508014123424 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| accuracy | 0 | #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) | |
| accuracy | 0.0625 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) | |
| accuracy | 8.011633540140203 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) | |
| accuracy | 29.057750832844153 | (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
| 66.0ms | 61× | 2 | valid |
| 49.0ms | 134× | 0 | valid |
| 47.0ms | 61× | 1 | valid |
Compiled 301 to 43 computations (85.7% saved)
ival-mult: 40.0ms (32.9% of total)ival-exp: 25.0ms (20.5% of total)const: 19.0ms (15.6% of total)adjust: 11.0ms (9% of total)ival-add: 10.0ms (8.2% of total)ival-sin: 6.0ms (4.9% of total)ival-sub: 4.0ms (3.3% of total)ival-div: 3.0ms (2.5% of total)ival-neg: 1.0ms (0.8% of total)ival-sinh: 1.0ms (0.8% 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y) (patch (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) (patch #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) (patch (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) (patch #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (patch #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) (patch (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) (patch (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x) (patch (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt y (taylor 0 y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (exp (neg y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (exp (neg y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (exp (neg y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (exp (neg y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (exp (* -1 y)))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (exp (* -1 y)))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (exp (* -1 y)))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (exp (* -1 y)))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/5040 (pow y 5)) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* (* (* 1/6 y) y) x) x) |
| 1.0ms | x | @ | 0 | (+ (* (* (* 1/6 y) y) x) x) |
| 0.0ms | y | @ | -inf | (* (- (exp y) (exp (neg y))) 1/2) |
| 0.0ms | y | @ | inf | (* (- (exp y) (exp (neg y))) 1/2) |
| 0.0ms | y | @ | inf | (+ (* (* (* 1/6 y) y) x) x) |
| 1× | egg-herbie |
| 9 649× | lower-fma.f64 |
| 9 649× | lower-fma.f32 |
| 3 231× | lower-*.f64 |
| 3 231× | lower-*.f32 |
| 2 693× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 5858 |
| 1 | 865 | 5428 |
| 2 | 2945 | 5286 |
| 3 | 7209 | 5286 |
| 0 | 8005 | 5009 |
| 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)))))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* 1/6 (* (pow y 3) (sin x))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 3) (sin x))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* x (* y (+ 1 (* 1/6 (pow y 2))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (neg y))) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
(- (exp y) (exp (* -1 y))) |
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 (- (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)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* -1 (* x (- (* -1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* -1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* -1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* -1/6 (pow y 2)) 1))) |
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 (- (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)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
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 (- (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)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
| Outputs |
|---|
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (exp (* -1 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)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) y) y (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) x) |
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(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(neg.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(neg.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(neg.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(- (exp y) (exp (neg y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(- (exp y) (exp (neg y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(- (exp y) (exp (neg y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(- (exp y) (exp (neg y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(- (exp y) (exp (* -1 y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(- (exp y) (exp (* -1 y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(- (exp y) (exp (* -1 y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(- (exp y) (exp (* -1 y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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)))) |
(*.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)) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* 1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 x (*.f64 y y))) y) y) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 x (*.f64 y y))) y) y) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 x (*.f64 y y))) y) y) |
(* 1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 x (*.f64 y y))) y) y) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 x (*.f64 y y))) y) y) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 x (*.f64 y y))) y) y) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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)))) |
(*.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)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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)))) |
(*.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)) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* 1/5040 (pow y 5)) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/5040 binary64)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/5040 (pow y 5)) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/5040 binary64)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 5 binary64))) |
| 2 305× | lower-*.f32 |
| 2 289× | lower-*.f64 |
| 2 243× | lower-/.f32 |
| 2 239× | lower-/.f64 |
| 2 184× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 439 |
| 0 | 98 | 429 |
| 1 | 282 | 402 |
| 2 | 1606 | 394 |
| 0 | 8511 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) |
(*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y) |
#s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
#s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y)) |
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (cosh.f64 y))) |
(*.f64 (/.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64)) |
(*.f64 (cosh.f64 y) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(sinh.f64 y) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (exp.f64 (+.f64 y y)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) (/.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 y y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 #s(approx (sinh y) (sinh.f64 y))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(approx (sinh y) (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (sinh y) (sinh.f64 y))) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (sinh.f64 y)) x) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y))))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (sinh.f64 y))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (sinh.f64 y)) x)) |
(*.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(approx (sinh y) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y)))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (sinh.f64 y))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y))))) |
(/.f64 (sin.f64 x) (/.f64 x #s(approx (sinh y) (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (sinh.f64 y))) x) |
(/.f64 #s(approx (sinh y) (sinh.f64 y)) (/.f64 x (sin.f64 x))) |
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(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
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(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
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(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 y)) (exp.f64 y)) |
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(fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 y))) (exp.f64 y)) |
(fma.f64 (exp.f64 y) #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) |
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(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
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(+.f64 (neg.f64 (exp.f64 (neg.f64 y))) (exp.f64 y)) |
(+.f64 (exp.f64 y) (neg.f64 (exp.f64 (neg.f64 y)))) |
#s(approx (sinh y) (sinh.f64 y)) |
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) #s(literal -1/36 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) y (neg.f64 (*.f64 #s(literal 1/6 binary64) y))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/6 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal 1/6 binary64) y)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/216 binary64))))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) y (*.f64 #s(literal 1/6 binary64) y)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/6 binary64) y)) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) (*.f64 #s(literal 1/6 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y))) |
(fma.f64 #s(literal 1/6 binary64) y (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y))) |
(fma.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) y)) |
(fma.f64 y #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) y (neg.f64 (*.f64 #s(literal 1/6 binary64) y)))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/6 binary64) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y)) y (neg.f64 (*.f64 #s(literal 1/6 binary64) y))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal 1/6 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) y))) |
Compiled 24 090 to 2 006 computations (91.7% saved)
32 alts after pruning (23 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 921 | 12 | 933 |
| Fresh | 5 | 11 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 7 | 8 |
| Total | 930 | 32 | 962 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.7% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
| ✓ | 78.1% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| ✓ | 71.5% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| ✓ | 67.8% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) |
| 48.1% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) y))) x) | |
| ✓ | 43.9% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| 48.7% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) | |
| 14.3% | (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| ✓ | 13.9% | (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| ✓ | 65.6% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
| 44.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) | |
| 44.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) y)) x) | |
| 44.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) | |
| 44.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) | |
| 44.5% | (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) | |
| 60.1% | (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 59.3% | (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 55.2% | (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 63.2% | (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) | |
| 59.4% | (*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) | |
| 44.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) | |
| ✓ | 51.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 38.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) | |
| 66.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) | |
| 51.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) y)) | |
| 39.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 39.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 37.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) | |
| 31.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) | |
| 11.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) | |
| ✓ | 30.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 39.2% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
Compiled 1 568 to 543 computations (65.4% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) x) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
4 calls:
| 26.0ms | x |
| 25.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 17.0ms | (sinh.f64 y) |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 99.9% | 1 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
4 calls:
| 182.0ms | y |
| 16.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 15.0ms | x |
| 14.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 99.9% | 1 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x)) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
4 calls:
| 17.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 17.0ms | x |
| 15.0ms | (sinh.f64 y) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | x |
| 98.2% | 3 | y |
| 99.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 92.1% | 2 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
1 calls:
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
4 calls:
| 14.0ms | y |
| 11.0ms | x |
| 11.0ms | (sinh.f64 y) |
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 1 | (sinh.f64 y) |
| 79.6% | 3 | x |
| 69.5% | 3 | y |
| 77.8% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) y))) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
2 calls:
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 77.5% | 2 | x |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) y)) x) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))) (*.f64 y y) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) x) x y))) |
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) y)) |
| Outputs |
|---|
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
2 calls:
| 9.0ms | x |
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 72.5% | 2 | x |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (+ (* (* (* 1/6 y) y) x) x) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (* (+ (* (* 1/6 y) y) 1) (sin x)) y) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) y)) y x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x x)) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
| Outputs |
|---|
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x) |
2 calls:
| 48.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 69.1% | 2 | x |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
4 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 55.2% | 1 | (sinh.f64 y) |
| 58.3% | 2 | y |
| 57.3% | 2 | x |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y)) |
4 calls:
| 16.0ms | x |
| 3.0ms | y |
| 3.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.9% | 1 | (sinh.f64 y) |
| 41.9% | 2 | x |
| 42.5% | 2 | y |
| 49.3% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.9% | 1 | (sinh.f64 y) |
| 37.9% | 1 | x |
| 37.9% | 1 | y |
| 37.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
4 calls:
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 2 | x |
| 37.5% | 2 | y |
| 37.5% | 2 | (sinh.f64 y) |
| 39.2% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
4 calls:
| 1.0ms | x |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.0% | 1 | (sinh.f64 y) |
| 30.0% | 1 | y |
| 30.0% | 1 | x |
| 30.0% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.681363841371901e-111 | 8.837249449541478e-102 |
| 0.0ms | -inf | -8.078918693839606e-96 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.681363841371901e-111 | 8.837249449541478e-102 |
| 0.0ms | -inf | -8.078918693839606e-96 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.783579321700888e+94 | 1.9530665039841986e+95 |
| 15.0ms | 27.22945613455609 | 6255.785117625066 |
| 19.0ms | 208× | 0 | valid |
Compiled 612 to 354 computations (42.2% saved)
ival-sin: 10.0ms (71.8% of total)ival-div: 1.0ms (7.2% of total)ival-mult: 1.0ms (7.2% of total)ival-sinh: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.783579321700888e+94 | 1.9530665039841986e+95 |
Compiled 318 to 179 computations (43.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.5359537562989606e+40 | 1.4681135849381044e+44 |
| 12.0ms | 128× | 0 | valid |
Compiled 340 to 195 computations (42.6% saved)
ival-sin: 7.0ms (79% of total)ival-div: 1.0ms (11.3% of total)ival-mult: 1.0ms (11.3% of total)ival-sinh: 1.0ms (11.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 9.883561349286058e+38 | 5.3796093276152955e+39 |
| 7.0ms | 96× | 0 | valid |
Compiled 234 to 137 computations (41.5% saved)
ival-sin: 4.0ms (75.2% of total)ival-div: 1.0ms (18.8% of total)ival-mult: 1.0ms (18.8% of total)ival-sinh: 1.0ms (18.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 9.883561349286058e+38 | 5.3796093276152955e+39 |
| 25.0ms | 80× | 0 | valid |
Compiled 204 to 119 computations (41.7% saved)
ival-sin: 22.0ms (93.3% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sinh: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0325554246218676e-195 | -1.4445027723764513e-225 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.265093445866755e-278 | 2.1816376620199255e-270 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0325554246218676e-195 | -1.4445027723764513e-225 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 734 |
| 1 | 172 | 734 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 46 binary64)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 45999999999999999447929697611526260052791822756655235570481931665368964524858482929212040675328 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x))) |
(if (<=.f64 x #s(literal 45999999999999999447929697611526260052791822756655235570481931665368964524858482929212040675328 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 x #s(literal 1059999999999999933069401804862796364513280 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 x #s(literal 4100000000000000039927464282047461195776 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 x #s(literal 1020000000000000026150471621095857324032 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -2630067950774187/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6386688990511103/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -2630067950774187/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 46 binary64)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 45999999999999999447929697611526260052791822756655235570481931665368964524858482929212040675328 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x))) |
(if (<=.f64 x #s(literal 46 binary64)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 45999999999999999447929697611526260052791822756655235570481931665368964524858482929212040675328 binary64)) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x))) |
(if (<=.f64 x #s(literal 45999999999999999447929697611526260052791822756655235570481931665368964524858482929212040675328 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 x #s(literal 45999999999999999447929697611526260052791822756655235570481931665368964524858482929212040675328 binary64)) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) x)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 x #s(literal 1059999999999999933069401804862796364513280 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 x #s(literal 1059999999999999933069401804862796364513280 binary64)) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 x #s(literal 4100000000000000039927464282047461195776 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 x #s(literal 1020000000000000026150471621095857324032 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (+ (* (* 1/6 y) y) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))) y)) x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -2630067950774187/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6386688990511103/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -2630067950774187/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -2630067950774187/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 9 649× | lower-fma.f64 |
| 9 649× | lower-fma.f32 |
| 9 235× | lower-fma.f64 |
| 9 235× | lower-fma.f32 |
| 9 228× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 4618 |
| 1 | 705 | 4245 |
| 2 | 2556 | 4105 |
| 3 | 6401 | 4105 |
| 0 | 8514 | 3911 |
| 0 | 62 | 439 |
| 0 | 98 | 429 |
| 1 | 282 | 402 |
| 2 | 1606 | 394 |
| 0 | 8511 | 383 |
| 0 | 34 | 198 |
| 0 | 59 | 198 |
| 1 | 171 | 198 |
| 2 | 908 | 189 |
| 0 | 8180 | 180 |
| 0 | 255 | 5858 |
| 1 | 865 | 5428 |
| 2 | 2945 | 5286 |
| 3 | 7209 | 5286 |
| 0 | 8005 | 5009 |
| 0 | 239 | 5160 |
| 1 | 821 | 4757 |
| 2 | 2862 | 4621 |
| 3 | 7097 | 4619 |
| 0 | 8162 | 4375 |
| 0 | 49 | 320 |
| 0 | 81 | 320 |
| 1 | 251 | 317 |
| 2 | 1307 | 317 |
| 0 | 8242 | 314 |
| 0 | 113 | 944 |
| 1 | 373 | 889 |
| 2 | 1229 | 849 |
| 3 | 3047 | 828 |
| 0 | 8158 | 792 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 27 | 16 |
| 2 | 117 | 16 |
| 3 | 840 | 16 |
| 0 | 8257 | 16 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 235 to 574 computations (53.5% saved)
(negabs y)
(abs x)
Compiled 972 to 242 computations (75.1% saved)
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