
Time bar (total: 12.2s)
| 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)
| 605.0ms | 8 256× | 0 | valid |
ival-sin: 206.0ms (50.7% of total)ival-div: 84.0ms (20.7% of total)ival-mult: 63.0ms (15.5% of total)ival-sinh: 44.0ms (10.8% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 0 | - | 2 | (5.269379526099351e-147 -7.669186588735438e-174) | (/.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 | 35 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 35 | 2 |
| - | 0 | 219 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 35 | 0 | 2 |
| - | 0 | 0 | 219 |
| number | freq |
|---|---|
| 0 | 221 |
| 1 | 35 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 512× | 0 | valid |
Compiled 49 to 22 computations (55.1% saved)
ival-sin: 20.0ms (66.4% of total)ival-div: 4.0ms (13.3% of total)ival-mult: 3.0ms (10% of total)ival-sinh: 3.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 532× | lower-fma.f64 |
| 2 532× | lower-fma.f32 |
| 1 668× | lower-*.f32 |
| 1 666× | lower-*.f64 |
| 944× | 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) |
(abs x)
(negabs y)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.8% | (/.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) |
| 2 532× | lower-fma.f64 |
| 2 532× | lower-fma.f32 |
| 1 668× | lower-*.f32 |
| 1 666× | lower-*.f64 |
| 944× | 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 (sin.f64 x) (sinh.f64 y)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 0.078125 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| accuracy | 8.418515687820435 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 253.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 5.0ms (48.1% of total)ival-div: 2.0ms (19.2% of total)ival-mult: 2.0ms (19.2% of total)ival-sinh: 1.0ms (9.6% 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 | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/ (* (sin x) (sinh y)) x) |
| 2.0ms | y | @ | inf | (/ (* (sin x) (sinh y)) x) |
| 1.0ms | x | @ | 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× | egg-herbie |
| 15 192× | lower-fma.f64 |
| 15 192× | lower-fma.f32 |
| 6 376× | lower-+.f64 |
| 6 376× | lower-+.f32 |
| 3 958× | 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* -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 #s(literal -1/12 binary64) (*.f64 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)))))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #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 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #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 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(* 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 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) x)) |
(* x (+ (* -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))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #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 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #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)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #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 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(* 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 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) 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)))) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
| 4 860× | lower-*.f32 |
| 4 858× | lower-*.f64 |
| 4 172× | lower-/.f32 |
| 4 170× | lower-/.f64 |
| 1 474× | 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 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.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)))) |
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64))) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 x (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sinh.f64 y)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (neg.f64 (/.f64 (sin.f64 x) x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.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 (sin.f64 x) x) (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (sin.f64 x) x)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (neg.f64 (/.f64 (sin.f64 x) x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) (/.f64 (sin.f64 x) x)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 (sin.f64 x) x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))))) #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 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #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 y #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (cosh.f64 y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y))) |
(*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(*.f64 (cosh.f64 y) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 y y)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 (+.f64 y y) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 y y)) (expm1.f64 (-.f64 (neg.f64 y) y)))) |
Compiled 9 440 to 1 540 computations (83.7% 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 |
|---|---|---|
| 86.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) x) | |
| 80.3% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 78.4% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 73.5% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x) | |
| ▶ | 49.7% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
| ▶ | 52.5% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
| ▶ | 99.9% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| 73.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) x) | |
| 43.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) | |
| 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) | |
| ▶ | 86.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
| ▶ | 56.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
Compiled 362 to 208 computations (42.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) | |
| cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 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) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 y (/.f64 (sin.f64 x) x)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) | |
| 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))) |
| 5 790× | lower-fma.f32 |
| 5 782× | lower-fma.f64 |
| 3 832× | lower-*.f32 |
| 3 814× | lower-*.f64 |
| 1 990× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 253 |
| 0 | 58 | 239 |
| 1 | 107 | 239 |
| 2 | 211 | 236 |
| 3 | 427 | 236 |
| 4 | 851 | 236 |
| 5 | 1410 | 236 |
| 6 | 3408 | 236 |
| 7 | 5438 | 236 |
| 8 | 7967 | 236 |
| 0 | 8219 | 229 |
| 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 y (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(*.f64 y y) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) |
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
x |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
(sinh.f64 y) |
y |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(sinh.f64 y) |
y |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(sinh.f64 y) |
y |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (sin.f64 x) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 y (*.f64 (sin.f64 x) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(*.f64 y y) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(*.f64 (sinh.f64 y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)) |
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
x |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
(sinh.f64 y) |
y |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(*.f64 #s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (/.f64 (sinh.f64 y) x)) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) #s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(sinh.f64 y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.27130699925637386 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 8.418515687820435 | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) | |
| accuracy | 28.80051852971468 | #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.078125 | (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) | |
| accuracy | 0.41851598281047386 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 8.418515687820435 | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) | |
| accuracy | 28.76670815423358 | #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
| accuracy | 0.078125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.30859375 | (*.f64 y #s(literal 1/6 binary64)) | |
| accuracy | 1.6682504080380613 | (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) | |
| accuracy | 10.13551943647836 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.078125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.09375 | (*.f64 y (/.f64 (sin.f64 x) x)) | |
| accuracy | 28.084186861866314 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 0.03515625 | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) | |
| accuracy | 0.09765625 | (/.f64 x (sin.f64 x)) |
| 172.0ms | 256× | 0 | valid |
Compiled 171 to 29 computations (83% saved)
ival-mult: 108.0ms (79.5% of total)const: 9.0ms (6.6% of total)ival-div: 6.0ms (4.4% of total)ival-sin: 6.0ms (4.4% of total)ival-add: 4.0ms (2.9% of total)ival-sinh: 2.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 y (/.f64 (sin.f64 x) x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 (sin.f64 x) x)) (patch (*.f64 y (/.f64 (sin.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) (patch (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) (patch (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) (patch (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) (patch (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) |
| 1.0ms | x | @ | -inf | (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) |
| 1.0ms | x | @ | inf | (/ x (sin x)) |
| 1.0ms | y | @ | inf | (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) |
| 1.0ms | x | @ | -inf | (* y (/ (sin x) x)) |
| 1× | egg-herbie |
| 12 756× | lower-fma.f64 |
| 12 756× | lower-fma.f32 |
| 4 938× | lower-*.f64 |
| 4 938× | lower-*.f32 |
| 3 760× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 4283 |
| 1 | 675 | 4027 |
| 2 | 2301 | 3826 |
| 3 | 5503 | 3730 |
| 4 | 7822 | 3730 |
| 0 | 8028 | 3559 |
| 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 (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 |
(+ 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) |
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)) |
(+ y (* 1/6 (pow y 3))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (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))))) |
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 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(* 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) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(* 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 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (/.f64 (sin.f64 x) x))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* -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 #s(literal -1/12 binary64) (*.f64 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)))))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #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 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
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(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(* 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 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (/.f64 (sin.f64 x) x))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #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 (sin.f64 x) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 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 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #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 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #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)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(* 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 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) 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)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 7 288× | lower-fma.f32 |
| 7 280× | lower-fma.f64 |
| 5 112× | lower-*.f32 |
| 5 094× | lower-*.f64 |
| 4 310× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 210 |
| 0 | 58 | 196 |
| 1 | 186 | 194 |
| 2 | 1161 | 194 |
| 0 | 8541 | 188 |
| 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 y (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) |
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 y #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 y) (neg.f64 (/.f64 (sin.f64 x) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.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 (exp.f64 y) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sin.f64 x))) (*.f64 (sinh.f64 y) (neg.f64 (/.f64 (sin.f64 x) x)))) |
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 (/.f64 (sin.f64 x) x)))) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/373248000 binary64)))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/207360000 binary64) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/207360000 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 30 468 to 2 527 computations (91.7% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 279 | 23 | 1 302 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 284 | 30 | 1 314 |
| Status | Accuracy | Program |
|---|---|---|
| 86.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) x) | |
| 86.8% | (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) | |
| 80.3% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 78.4% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| ▶ | 45.4% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
| ✓ | 52.5% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
| 48.2% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 46.3% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) | |
| 44.4% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) | |
| 70.1% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 71.1% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 63.3% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 43.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) | |
| ▶ | 93.4% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
| 63.0% | (*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) | |
| 17.1% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64))) (*.f64 y (*.f64 y y))) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 y (-.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))))) x))) | |
| 56.1% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) | |
| ✓ | 86.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
| 66.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) | |
| 55.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| ▶ | 57.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
| 54.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| ✓ | 56.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
| 38.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) | |
| ▶ | 31.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
| 54.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) | |
| ▶ | 50.1% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
| 40.6% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) | |
| 36.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) | |
| 38.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
Compiled 1 075 to 565 computations (47.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) | |
| cost-diff | 0 | #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| cost-diff | 0 | #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) | |
| cost-diff | 384 | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
| 8 946× | lower-fma.f32 |
| 8 932× | lower-fma.f64 |
| 3 646× | lower-*.f32 |
| 3 620× | lower-*.f64 |
| 1 530× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 528 |
| 0 | 83 | 485 |
| 1 | 169 | 485 |
| 2 | 358 | 485 |
| 3 | 802 | 485 |
| 4 | 1412 | 485 |
| 5 | 2149 | 485 |
| 6 | 2676 | 485 |
| 7 | 4039 | 485 |
| 8 | 5090 | 485 |
| 9 | 6580 | 485 |
| 10 | 7415 | 485 |
| 0 | 8057 | 480 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) |
y |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
#s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(*.f64 y y) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x))) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(sin.f64 x) |
x |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
y |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
| Outputs |
|---|
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
(*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (sin.f64 x) x)) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) |
y |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 y (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(*.f64 y y) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) x) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (/.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) x))) |
#s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x))) |
#s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (/.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) x) |
(sin.f64 x) |
x |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) x) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
y |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.9775140793791677 | (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) | |
| accuracy | 4.935044083764548 | (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) | |
| accuracy | 10.13551943647836 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) | |
| accuracy | 25.694155928973316 | #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x))) | |
| accuracy | 0.27130699925637386 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 4.1310959065154735 | #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) | |
| accuracy | 8.418515687820435 | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| accuracy | 28.80051852971468 | #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.30859375 | (*.f64 y #s(literal 1/6 binary64)) | |
| accuracy | 1.6682504080380613 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) | |
| accuracy | 10.13551943647836 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| accuracy | 28.82571623547479 | #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.09375 | (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) | |
| accuracy | 28.084186861866314 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) | |
| accuracy | 28.599876875312177 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| accuracy | 0.09375 | (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) | |
| accuracy | 0.09765625 | (/.f64 x (sin.f64 x)) | |
| accuracy | 0.2599765262825441 | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 4.1310959065154735 | #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
| 90.0ms | 256× | 0 | valid |
Compiled 326 to 43 computations (86.8% saved)
ival-mult: 29.0ms (43.3% of total)const: 12.0ms (17.9% of total)ival-div: 9.0ms (13.4% of total)ival-add: 8.0ms (11.9% of total)ival-sin: 8.0ms (11.9% of total)ival-sinh: 2.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) (patch (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) (patch (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (patch (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x))) (patch #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) (patch (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ (pow y 3) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) (patch (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (* (sin x) (/ (* y (* 1/6 (* y y))) x)) |
| 1.0ms | x | @ | inf | (* (sin x) (/ (* y (* 1/6 (* y y))) x)) |
| 1.0ms | x | @ | -inf | (* (sin x) (/ (* y (* 1/6 (* y y))) x)) |
| 1.0ms | y | @ | inf | (+ (* (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (* y (* y y))) y) |
| 1.0ms | y | @ | inf | (* (sin x) (/ (* y (* 1/6 (* y y))) x)) |
| 1× | egg-herbie |
| 15 294× | lower-fma.f64 |
| 15 294× | lower-fma.f32 |
| 5 632× | lower-*.f64 |
| 5 632× | lower-*.f32 |
| 4 256× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 5144 |
| 1 | 849 | 4927 |
| 2 | 2851 | 4592 |
| 3 | 6648 | 4591 |
| 0 | 8167 | 4367 |
| 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)))) |
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)))))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -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 (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 |
(+ 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) |
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)) |
(+ y (* 1/6 (pow y 3))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (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))))) |
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 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))) |
(* 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 (* 1/6 (pow y 3))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* 1/6 (pow y 3)) |
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3))) |
(+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/720 (* (pow x 2) (pow y 3)))))) |
(+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/36 (pow y 3)) (* (pow x 2) (+ (* -1/30240 (* (pow x 2) (pow y 3))) (* 1/720 (pow y 3))))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) 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) |
1/120 |
(+ 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))))) |
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)) |
(* 1/120 y) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/6 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) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
(* 1/6 (/ (pow y 3) x)) |
| Outputs |
|---|
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (sin.f64 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))) |
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(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* 1/6 (pow y 3)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/720 (* (pow x 2) (pow y 3)))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/36 (pow y 3)) (* (pow x 2) (+ (* -1/30240 (* (pow x 2) (pow y 3))) (* 1/720 (pow y 3))))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) 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) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #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)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
| 4 982× | lower-fma.f32 |
| 4 968× | lower-fma.f64 |
| 4 734× | lower-/.f32 |
| 4 726× | lower-/.f64 |
| 4 464× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 388 |
| 0 | 83 | 358 |
| 1 | 288 | 358 |
| 2 | 1844 | 358 |
| 0 | 8159 | 354 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
#s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x))) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)) |
(sin.f64 x) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(/.f64 x (sin.f64 x)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sin.f64 x))) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x)) x) |
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x)) (*.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(literal 1 binary64)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))))) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 x))) |
(pow.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) |
(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x)) x)) |
(*.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) (*.f64 (sin.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x)))))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(+.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (fma.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y)) y y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) y) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))))) (neg.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y)) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) (fma.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (-.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y #s(literal 1/120 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(*.f64 y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) |
(neg.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/6 binary64)) x)) |
(/.f64 y (/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 6 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/6 binary64)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/6 binary64)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64))) (neg.f64 x)) |
(pow.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 6 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)) |
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x)) |
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x))) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (/.f64 y x)) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x) y) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 6 binary64))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) x)) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (/.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 y y)) x)) |
(*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 y y) x)) |
Compiled 42 345 to 2 409 computations (94.3% saved)
46 alts after pruning (41 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 194 | 26 | 1 220 |
| Fresh | 7 | 15 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 204 | 46 | 1 250 |
| Status | Accuracy | Program |
|---|---|---|
| 86.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) x) | |
| 86.8% | (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) | |
| 78.4% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 45.4% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 45.4% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 45.3% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) | |
| 45.2% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 48.2% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| ✓ | 52.5% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
| 80.3% | (/.f64 (*.f64 #s(approx (sin x) (sin.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 70.1% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 71.1% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 63.3% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| ▶ | 43.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
| ▶ | 93.4% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
| 93.4% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) x)) | |
| ▶ | 65.5% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 66.6% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 58.8% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 63.0% | (*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) | |
| 60.9% | (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) | |
| 45.4% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) | |
| 57.1% | #s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 56.1% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) | |
| 57.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) | |
| ✓ | 86.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
| 66.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) | |
| ▶ | 55.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
| 50.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| 54.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| ✓ | 56.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
| 38.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) | |
| 36.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) | |
| ✓ | 31.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
| 54.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) | |
| ✓ | 50.1% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
| 34.6% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) | |
| 32.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) | |
| 35.8% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) | |
| 15.1% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) | |
| 28.4% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) | |
| 35.1% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) | |
| ▶ | 39.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
| 40.6% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) | |
| 38.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) | |
| 38.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
Compiled 1 958 to 1 018 computations (48% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 y (sin.f64 x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) | |
| cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| cost-diff | 0 | #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| cost-diff | 0 | (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| cost-diff | 0 | #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) | |
| cost-diff | 384 | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
| 7 906× | lower-fma.f32 |
| 7 890× | lower-fma.f64 |
| 3 058× | lower-*.f32 |
| 3 036× | lower-*.f64 |
| 2 390× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 539 |
| 0 | 93 | 504 |
| 1 | 192 | 502 |
| 2 | 425 | 500 |
| 3 | 890 | 500 |
| 4 | 1718 | 500 |
| 5 | 2447 | 500 |
| 6 | 3824 | 500 |
| 7 | 5821 | 500 |
| 8 | 7032 | 500 |
| 0 | 8209 | 495 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
#s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
y |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(*.f64 y y) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
#s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(literal 7/360 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
y |
(sin.f64 x) |
x |
| Outputs |
|---|
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (sin.f64 x) x)) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
(/.f64 x (sin.f64 x)) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
#s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
#s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
#s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
y |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y))) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(*.f64 y y) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
#s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(literal 7/360 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
y |
(sin.f64 x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.09375 | (*.f64 y (sin.f64 x)) | |
| accuracy | 8.418515687820435 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) | |
| accuracy | 28.141094432694153 | #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) | |
| accuracy | 0.2599765262825441 | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 0.28937558365621685 | (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 4.1310959065154735 | #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) | |
| accuracy | 28.56841258447501 | #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0.30859375 | (*.f64 y #s(literal 1/6 binary64)) | |
| accuracy | 1.6682504080380613 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) | |
| accuracy | 10.13551943647836 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| accuracy | 28.824151780982884 | #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.38272908323105326 | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) | |
| accuracy | 10.13551943647836 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) | |
| accuracy | 15.101153228137946 | #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) | |
| accuracy | 25.694155928973316 | #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) | |
| accuracy | 0.09375 | (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) | |
| accuracy | 0.11328125 | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) | |
| accuracy | 0.2599765262825441 | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 4.1310959065154735 | #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
| 165.0ms | 256× | 0 | valid |
Compiled 341 to 48 computations (85.9% saved)
ival-mult: 80.0ms (57.6% of total)const: 31.0ms (22.3% of total)ival-div: 11.0ms (7.9% of total)ival-add: 9.0ms (6.5% of total)ival-sin: 6.0ms (4.3% of total)ival-sinh: 2.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (patch #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (patch #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (patch (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) (patch #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (sin.f64 x)) (patch (*.f64 y (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) 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 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (patch (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/6 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 7/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 7/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 7/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/360 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 7/360 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) |
| 0.0ms | y | @ | inf | (* y (sin x)) |
| 0.0ms | y | @ | -inf | (* y (sin x)) |
| 0.0ms | y | @ | -inf | (* y (* 1/6 (* y y))) |
| 0.0ms | y | @ | inf | (* y (* 1/6 (* y y))) |
| 1× | egg-herbie |
| 15 354× | lower-fma.f64 |
| 15 354× | lower-fma.f32 |
| 5 518× | lower-*.f64 |
| 5 518× | lower-*.f32 |
| 4 206× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 4898 |
| 1 | 848 | 4681 |
| 2 | 2844 | 4356 |
| 3 | 6607 | 4339 |
| 0 | 8263 | 4124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)) |
(/ (* 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)))) |
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)))))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (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)) |
(+ y (* 1/6 (pow y 3))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* 1/6 (pow y 3)) |
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3))) |
(+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/720 (* (pow x 2) (pow y 3)))))) |
(+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/36 (pow y 3)) (* (pow x 2) (+ (* -1/30240 (* (pow x 2) (pow y 3))) (* 1/720 (pow y 3))))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 1/6 (pow y 3)) |
(* 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 (* 1/6 (pow y 3))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (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 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 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)) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -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)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* x y) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (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) |
1/120 |
(+ 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))))) |
(* 1/120 y) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 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 |
(+ 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 |
(+ 1/6 (* 7/360 (pow x 2))) |
(+ 1/6 (* 7/360 (pow x 2))) |
(+ 1/6 (* 7/360 (pow x 2))) |
(* 7/360 (pow x 2)) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(* 7/360 (pow x 2)) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #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)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (sin.f64 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))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 y y) x)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
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(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y)) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y)) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y #s(literal -1/6 binary64))) y)) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) 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) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y 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) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #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)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 7/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 7/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 7/360 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* 7/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/360 binary64)) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* 7/360 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 7/360 binary64)) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 7/360 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
| 5 520× | lower-fma.f32 |
| 5 504× | lower-fma.f64 |
| 4 520× | lower-*.f32 |
| 4 498× | lower-*.f64 |
| 3 852× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 382 |
| 0 | 93 | 352 |
| 1 | 334 | 352 |
| 2 | 2195 | 352 |
| 0 | 8276 | 348 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
#s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
(sin.f64 x) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 y #s(literal 1/6 binary64)) |
#s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 x) (sin.f64 x))) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (sin.f64 x))) |
(pow.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 x) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) (sin.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sin.f64 x))) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) (sin.f64 x)))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) (/.f64 x (sin.f64 x))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/46656000 binary64)) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 7/2160 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/46656000 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 7/2160 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 7/360 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/46656000 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 7/2160 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 7/360 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 7/2160 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/46656000 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 343/46656000 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 7/2160 binary64))))) |
(*.f64 (fma.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64)))) |
Compiled 33 414 to 1 614 computations (95.2% saved)
48 alts after pruning (42 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 951 | 15 | 966 |
| Fresh | 9 | 27 | 36 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 964 | 48 | 1 012 |
| Status | Accuracy | Program |
|---|---|---|
| 86.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) x) | |
| 86.8% | (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) | |
| 78.4% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 45.4% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 45.2% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| 48.2% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) | |
| ✓ | 52.5% | (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
| 70.1% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 71.1% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 63.3% | (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| ✓ | 43.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
| 26.3% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) | |
| 65.5% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 51.4% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 66.6% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 58.8% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) | |
| 65.5% | (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 86.6% | (/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) | |
| 61.3% | (/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 65.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) | |
| 63.0% | (*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) | |
| 93.4% | (*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) | |
| 60.9% | (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) | |
| 95.5% | (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) | |
| 45.4% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) | |
| 57.1% | #s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 56.1% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) | |
| ✓ | 86.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
| 66.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) | |
| 50.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| 14.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) | |
| ✓ | 56.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
| 36.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) | |
| ✓ | 31.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
| 54.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) | |
| ✓ | 50.1% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
| 34.6% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) | |
| 32.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) | |
| 35.8% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) | |
| 28.4% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) | |
| 15.1% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) | |
| 35.1% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) | |
| 39.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) | |
| 39.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) | |
| 39.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) | |
| 40.6% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) | |
| 38.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) | |
| 38.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
Compiled 2 670 to 814 computations (69.5% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) |
(/.f64 (*.f64 #s(approx (sin x) (sin.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) x)) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64))) (*.f64 y (*.f64 y y))) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 y (-.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))))) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) x) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
4 calls:
| 50.0ms | x |
| 23.0ms | (sinh.f64 y) |
| 22.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 20.0ms | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) |
(/.f64 (*.f64 #s(approx (sin x) (sin.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) x)) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
4 calls:
| 33.0ms | (sinh.f64 y) |
| 25.0ms | x |
| 21.0ms | y |
| 19.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) |
(/.f64 (*.f64 #s(approx (sin x) (sin.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) x)) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
4 calls:
| 29.0ms | y |
| 20.0ms | (sinh.f64 y) |
| 20.0ms | x |
| 18.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | x |
| 99.1% | 3 | y |
| 98.1% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 95.5% | 1 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) |
(/.f64 (*.f64 #s(approx (sin x) (sin.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
1 calls:
| 17.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | (/.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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
1 calls:
| 16.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) |
1 calls:
| 16.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
1 calls:
| 14.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 (sin.f64 x) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
3 calls:
| 37.0ms | x |
| 15.0ms | y |
| 13.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 4 | y |
| 87.0% | 3 | x |
| 99.1% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
1 calls:
| 40.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
4 calls:
| 21.0ms | (sinh.f64 y) |
| 13.0ms | y |
| 13.0ms | x |
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 3 | x |
| 76.9% | 3 | y |
| 75.0% | 2 | (sinh.f64 y) |
| 86.1% | 3 | (/.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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))) |
1 calls:
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
1 calls:
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x) |
1 calls:
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 7/360) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal 1/720 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
1 calls:
| 9.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/36 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))) |
1 calls:
| 20.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
4 calls:
| 16.0ms | (sinh.f64 y) |
| 7.0ms | x |
| 7.0ms | y |
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 3 | x |
| 61.0% | 2 | (sinh.f64 y) |
| 61.0% | 2 | y |
| 66.2% | 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 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) -1/6)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 65.5% | 2 | x |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) x))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #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)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 48.8% | 2 | x |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
3 calls:
| 2.0ms | y |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.2% | 2 | y |
| 54.2% | 2 | (sinh.f64 y) |
| 54.2% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 16 to 11 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.0% | 1 | x |
| 31.0% | 1 | y |
| 31.0% | 1 | (sinh.f64 y) |
| 31.0% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7811605951544991e-6 | 2.241521467682004 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7811605951544991e-6 | 2.241521467682004 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7811605951544991e-6 | 2.241521467682004 |
| 0.0ms | -inf | -4.1952368342138514e-17 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7811605951544991e-6 | 2.241521467682004 |
| 0.0ms | -inf | -4.1952368342138514e-17 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7811605951544991e-6 | 2.241521467682004 |
| 0.0ms | -inf | -4.1952368342138514e-17 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4927682477444617e-23 | 1.7811605951544991e-6 |
| 0.0ms | -inf | -4.1952368342138514e-17 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4927682477444617e-23 | 1.7811605951544991e-6 |
| 0.0ms | -inf | -4.1952368342138514e-17 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0301680018937768e-146 | 1.653008387287665e-146 |
| 0.0ms | -2.1075571422493128e-92 | -4.246973006089465e-124 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.241521467682004 | +inf |
| 0.0ms | -2.1075571422493128e-92 | -4.246973006089465e-124 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4927682477444617e-23 | 1.7811605951544991e-6 |
| 0.0ms | -2.1075571422493128e-92 | -4.246973006089465e-124 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.241521467682004 | +inf |
| 0.0ms | -2.1075571422493128e-92 | -4.246973006089465e-124 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0301680018937768e-146 | 1.653008387287665e-146 |
| 0.0ms | -2.1075571422493128e-92 | -4.246973006089465e-124 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0301680018937768e-146 | 1.653008387287665e-146 |
| 0.0ms | -2.1075571422493128e-92 | -4.246973006089465e-124 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.241521467682004 | +inf |
| 0.0ms | -2.1075571422493128e-92 | -4.246973006089465e-124 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 9.346315910320716e+115 | 2.629461313402273e+116 |
| 17.0ms | 2.3935069567363207e+60 | 3.9799942533082414e+68 |
| 18.0ms | 224× | 0 | valid |
Compiled 554 to 321 computations (42.1% saved)
ival-sin: 9.0ms (69.5% of total)ival-div: 1.0ms (7.7% of total)ival-mult: 1.0ms (7.7% of total)ival-sinh: 1.0ms (7.7% 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 |
|---|---|---|
| 40.0ms | 268053220893.56598 | 49345736893081.55 |
| 9.0ms | 112× | 0 | valid |
Compiled 243 to 144 computations (40.7% saved)
ival-sin: 4.0ms (63% of total)ival-div: 1.0ms (15.7% of total)ival-mult: 1.0ms (15.7% of total)ival-sinh: 1.0ms (15.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.346315910320716e+115 | 2.629461313402273e+116 |
| 0.0ms | 7.123539814970564e+51 | 7.224328424220287e+51 |
Compiled 167 to 96 computations (42.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 26716.66906199194 | 191673015.29777175 |
| 10.0ms | 128× | 0 | valid |
Compiled 220 to 123 computations (44.1% saved)
ival-sin: 5.0ms (72.3% of total)ival-div: 1.0ms (14.5% of total)ival-mult: 1.0ms (14.5% of total)ival-sinh: 1.0ms (14.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.241521467682004 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.241521467682004 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 74× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 1988 |
| 1 | 250 | 1988 |
| 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 4722366482869645/2361183241434822606848 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) (*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) (*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) 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) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 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 (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) 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 -5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6748370691814795/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (/.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 -5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) y))) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6748370691814795/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6748370691814795/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))))) |
(if (<=.f64 x #s(literal 12499999999999999410065278142270850836406411419107712316302702936064 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) (if (<=.f64 x #s(literal 170000000000000011394103641141411011615603145947065905085538722246091488501090895194859513083061758999007775839748096 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))) |
(if (<=.f64 x #s(literal 18000000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
(if (<=.f64 x #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) (if (<=.f64 x #s(literal 170000000000000011394103641141411011615603145947065905085538722246091488501090895194859513083061758999007775839748096 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))) |
(if (<=.f64 x #s(literal 255000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
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(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 4 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (+ (* (* y y) (* y 1/6)) y)) #s(approx (* (sin x) (/ (* y (* 1/6 (* y y))) x)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) |
| 15 354× | lower-fma.f64 |
| 15 354× | lower-fma.f32 |
| 15 294× | lower-fma.f64 |
| 15 294× | lower-fma.f32 |
| 15 192× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 4283 |
| 1 | 675 | 4027 |
| 2 | 2301 | 3826 |
| 3 | 5503 | 3730 |
| 4 | 7822 | 3730 |
| 0 | 8028 | 3559 |
| 0 | 255 | 4898 |
| 1 | 848 | 4681 |
| 2 | 2844 | 4356 |
| 3 | 6607 | 4339 |
| 0 | 8263 | 4124 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 27 | 16 |
| 2 | 117 | 16 |
| 3 | 840 | 16 |
| 0 | 8257 | 16 |
| 0 | 56 | 382 |
| 0 | 93 | 352 |
| 1 | 334 | 352 |
| 2 | 2195 | 352 |
| 0 | 8276 | 348 |
| 0 | 50 | 388 |
| 0 | 83 | 358 |
| 1 | 288 | 358 |
| 2 | 1844 | 358 |
| 0 | 8159 | 354 |
| 0 | 113 | 944 |
| 1 | 373 | 889 |
| 2 | 1229 | 849 |
| 3 | 3047 | 828 |
| 0 | 8158 | 792 |
| 0 | 262 | 5144 |
| 1 | 849 | 4927 |
| 2 | 2851 | 4592 |
| 3 | 6648 | 4591 |
| 0 | 8167 | 4367 |
| 0 | 33 | 210 |
| 0 | 58 | 196 |
| 1 | 186 | 194 |
| 2 | 1161 | 194 |
| 0 | 8541 | 188 |
| 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× | node limit |
| 1× | iter 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 3 192 to 1 152 computations (63.9% saved)
(negabs y)
(abs x)
Compiled 2 800 to 372 computations (86.7% saved)
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