
Time bar (total: 10.5s)
| 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)
| 591.0ms | 8 256× | 0 | valid |
ival-sin: 213.0ms (55.4% of total)ival-mult: 63.0ms (16.4% of total)ival-div: 57.0ms (14.8% of total)ival-sinh: 42.0ms (10.9% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 25 | 0 | - | 0 | - | (/.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 | 25 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 25 | 0 |
| - | 0 | 231 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 0 | 0 | 231 |
| number | freq |
|---|---|
| 0 | 231 |
| 1 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 512× | 0 | valid |
Compiled 49 to 22 computations (55.1% saved)
ival-div: 32.0ms (64.2% of total)ival-sin: 11.0ms (22.1% of total)ival-mult: 3.0ms (6% of total)ival-sinh: 3.0ms (6% 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) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(abs x)
(negabs y)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.8% | (/.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 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sinh.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.05078125 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| accuracy | 5.873346499949888 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 33.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 7.0ms (61% of total)ival-div: 2.0ms (17.4% of total)ival-mult: 2.0ms (17.4% of total)ival-sinh: 1.0ms (8.7% 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 | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | (/ (* (sin x) (sinh y)) x) |
| 3.0ms | y | @ | -inf | (/ (* (sin x) (sinh y)) x) |
| 2.0ms | 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) y) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
| 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 (/.f64 (/.f64 (sin.f64 x) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sinh.f64 y)))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sinh.f64 y)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) x) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (/.f64 (/.f64 (sin.f64 x) x) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (/.f64 (sinh.f64 y) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (*.f64 (/.f64 (sinh.f64 y) x) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) x)) (sin.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 (sin.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sinh.f64 y))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (sinh.f64 y) x) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal -1/2 binary64) (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (sin.f64 x)) x))) |
(*.f64 (neg.f64 (sinh.f64 y)) (pow.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(*.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 y) x)) (sin.f64 x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 x)) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)))) #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
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(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 y y))) (exp.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (+.f64 (+.f64 (exp.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (exp.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 y y)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) (exp.f64 (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (neg.f64 (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 y) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (exp.f64 (*.f64 y #s(literal -3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))))) (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (exp.f64 y) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(sinh.f64 y) |
(neg.f64 (*.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (exp.f64 (+.f64 y y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) (/.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) (fma.f64 (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) y)) (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
Compiled 9 363 to 1 542 computations (83.5% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 554 | 11 | 565 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 555 | 11 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| 84.4% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 71.5% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) | |
| 56.5% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) | |
| ▶ | 57.0% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
| 71.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y))) x) | |
| 36.6% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| 90.6% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sinh.f64 y) (sin.f64 x)))) | |
| ▶ | 100.0% | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ▶ | 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ▶ | 76.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
| ▶ | 87.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
Compiled 348 to 206 computations (40.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 9 542× | lower-fma.f32 |
| 9 534× | lower-fma.f64 |
| 3 786× | lower-*.f32 |
| 3 766× | lower-*.f64 |
| 1 834× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 261 |
| 0 | 56 | 261 |
| 1 | 108 | 261 |
| 2 | 245 | 261 |
| 3 | 682 | 253 |
| 4 | 2251 | 253 |
| 5 | 4359 | 253 |
| 6 | 5521 | 253 |
| 7 | 6956 | 253 |
| 0 | 8107 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 y x) |
y |
x |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(sin.f64 x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(sinh.f64 y) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y (sin.f64 x))) |
(/.f64 y x) |
y |
x |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(sin.f64 x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (sinh.f64 y)) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(sinh.f64 y) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) | |
| accuracy | 0.1328125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 4.037904529529615 | (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 10.485761375555764 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| accuracy | 0.07421875 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 5.873346499949888 | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) | |
| accuracy | 30.49593042903147 | #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.5979165137612837 | (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) | |
| accuracy | 4.099973055136552 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) | |
| accuracy | 15.684141653169872 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| accuracy | 0.1328125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 34.73384313526295 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| accuracy | 0 | (sinh.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.01953125 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) | |
| accuracy | 0.1328125 | (/.f64 (sin.f64 x) x) |
| 232.0ms | 256× | 0 | valid |
Compiled 208 to 31 computations (85.1% saved)
ival-mult: 68.0ms (31.7% of total)ival-sin: 57.0ms (26.6% of total)ival-add: 50.0ms (23.3% of total)const: 34.0ms (15.9% of total)ival-div: 5.0ms (2.3% of total)ival-sinh: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 x) x) y) (patch (*.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) (patch (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) (patch (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) (patch (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) (patch (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<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) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<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) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<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) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<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) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<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) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<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) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (patch (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (/ (* (pow y 4) (sin x)) x)) (taylor inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) (taylor inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) (taylor inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) (taylor inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (/ (* (pow y 4) (sin x)) x)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) |
| 1.0ms | x | @ | inf | (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) |
| 1.0ms | x | @ | inf | (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) |
| 1.0ms | x | @ | -inf | (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) |
| 1.0ms | x | @ | -inf | (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) |
| 1× | egg-herbie |
| 20 520× | lower-fma.f64 |
| 20 520× | lower-fma.f32 |
| 5 372× | lower-*.f64 |
| 5 372× | lower-*.f32 |
| 5 342× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 266 | 5157 |
| 1 | 925 | 4774 |
| 2 | 3640 | 4436 |
| 3 | 7766 | 4433 |
| 0 | 8011 | 4168 |
| 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 |
(+ 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) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(* 1/2 (- (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 (+ (* 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))))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) 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) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (sin x) x) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
1 |
(+ 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)) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
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(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (sin.f64 x) x)) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (pow.f64 y #s(literal 5 binary64))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x)) y) y) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x)) y) y) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (*.f64 (*.f64 y y) (*.f64 y y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
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 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| 10 508× | lower-fma.f32 |
| 10 500× | lower-fma.f64 |
| 6 178× | lower-*.f32 |
| 6 158× | lower-*.f64 |
| 3 156× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 202 |
| 0 | 56 | 202 |
| 1 | 178 | 202 |
| 2 | 1182 | 194 |
| 0 | 8927 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
(sinh.f64 y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 y x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (sinh.f64 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 #s(literal 1 binary64) x) (/.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (sinh.f64 y))) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 2 binary64)) |
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(sinh.f64 y) |
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(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 y (sin.f64 x)) x) |
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(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (sin.f64 x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 (sin.f64 x) x))) |
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(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) x) y) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
Compiled 31 736 to 2 686 computations (91.5% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 447 | 19 | 1 466 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 452 | 25 | 1 477 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.4% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 52.7% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| ▶ | 49.1% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 47.0% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) | |
| 71.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y))) x) | |
| ▶ | 36.6% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
| ✓ | 100.0% | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 66.3% | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) | |
| ✓ | 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 63.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) | |
| 44.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64))))) | |
| 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) | |
| 75.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) | |
| ✓ | 87.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
| 58.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 57.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 58.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 36.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 36.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ▶ | 26.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 56.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 52.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x)) y) y)) y)) | |
| ▶ | 56.2% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
| 52.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) | |
| 50.9% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
Compiled 907 to 491 computations (45.9% 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) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 9 246× | lower-fma.f32 |
| 9 232× | lower-fma.f64 |
| 3 922× | lower-*.f32 |
| 3 900× | lower-*.f64 |
| 2 570× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 448 |
| 0 | 80 | 448 |
| 1 | 140 | 448 |
| 2 | 282 | 448 |
| 3 | 773 | 431 |
| 4 | 2227 | 431 |
| 5 | 3759 | 431 |
| 6 | 4855 | 431 |
| 7 | 5895 | 431 |
| 0 | 8095 | 414 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) y) |
(sin.f64 x) |
x |
y |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(sin.f64 x) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 x) y) | |
| accuracy | 5.873346499949888 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| accuracy | 34.73495549290592 | #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 5.873346499949888 | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| accuracy | 7.158001466161674 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| accuracy | 30.49593042903147 | #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 2.6048340880961507 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) | |
| accuracy | 15.684141653169872 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) | |
| accuracy | 27.11120061852445 | #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y))) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| accuracy | 30.078539645737933 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| accuracy | 34.73384313526295 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| accuracy | 0.05078125 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 4.110267365467613 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| accuracy | 5.873346499949888 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 121.0ms | 256× | 0 | valid |
Compiled 277 to 40 computations (85.6% saved)
ival-mult: 64.0ms (64.5% of total)const: 11.0ms (11.1% of total)ival-sin: 10.0ms (10.1% of total)ival-add: 7.0ms (7.1% of total)ival-div: 5.0ms (5% of total)ival-sinh: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y))) (patch #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) y) (patch (*.f64 (sin.f64 x) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/120 (* 1/5040 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1/6 (* (pow x 2) y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1/6 (* (pow x 2) y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1/6 (* (pow x 2) y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (* (+ (* -1/6 (* x x)) 1) y) |
| 1.0ms | y | @ | 0 | (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) |
| 1.0ms | y | @ | 0 | (* (+ (* -1/6 (* x x)) 1) y) |
| 0.0ms | y | @ | inf | (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) |
| 0.0ms | x | @ | inf | (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) |
| 1× | egg-herbie |
| 19 490× | lower-fma.f64 |
| 19 490× | lower-fma.f32 |
| 5 972× | lower-*.f64 |
| 5 972× | lower-*.f32 |
| 3 924× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 5355 |
| 1 | 721 | 4873 |
| 2 | 2634 | 4652 |
| 3 | 6775 | 4649 |
| 0 | 8251 | 4385 |
| 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))))) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
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(* 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)) |
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(* 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)))))) |
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(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
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(* 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))))) |
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(* 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)))))))) |
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(* 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)))) |
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(+ (* 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)) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* 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))))) |
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(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
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(* y (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
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(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
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(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* 1/6 (* (pow y 3) (+ 1 (* -1/6 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2))))))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))) |
(* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (- (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)))))) |
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(* 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 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)) |
(* 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)) |
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))))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
1 |
(+ 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)) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y) (sin.f64 x)) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
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(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
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 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| 7 644× | lower-fma.f32 |
| 7 630× | lower-fma.f64 |
| 4 180× | lower-*.f32 |
| 4 158× | lower-*.f64 |
| 3 962× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 329 |
| 0 | 80 | 329 |
| 1 | 254 | 329 |
| 2 | 1589 | 329 |
| 0 | 8270 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(sin.f64 x) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) y) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
(pow.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) x) |
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 x (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(neg.f64 (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
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(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) y) |
(+.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y) |
(+.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
Compiled 20 659 to 1 448 computations (93% saved)
36 alts after pruning (30 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 822 | 14 | 836 |
| Fresh | 1 | 16 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 825 | 36 | 861 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.4% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 59.7% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| ▶ | 84.3% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 51.5% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 48.2% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 52.7% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 15.9% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 48.5% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 71.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y))) x) | |
| ✓ | 36.6% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
| 27.5% | (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) | |
| 24.6% | (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) | |
| 61.6% | (/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| ✓ | 100.0% | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 62.4% | (*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) | |
| ▶ | 49.0% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
| 66.3% | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) | |
| ✓ | 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ▶ | 63.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
| 44.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64))))) | |
| 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) | |
| 75.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) | |
| ✓ | 87.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
| 58.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 57.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 58.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 36.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 36.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ✓ | 26.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 56.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 52.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x)) y) y)) y)) | |
| ▶ | 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
| ▶ | 52.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
| 35.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) | |
| 15.9% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) | |
| 50.9% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
Compiled 1 483 to 778 computations (47.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 640 | (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 19 660× | lower-fma.f32 |
| 19 644× | lower-fma.f64 |
| 4 326× | lower-*.f32 |
| 4 290× | lower-*.f64 |
| 3 072× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 781 |
| 0 | 104 | 781 |
| 1 | 198 | 746 |
| 2 | 435 | 714 |
| 3 | 1012 | 696 |
| 4 | 2918 | 696 |
| 5 | 4958 | 696 |
| 6 | 7144 | 696 |
| 0 | 8062 | 650 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 y x) |
y |
x |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) |
#s(literal -1/216 binary64) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
#s(literal 1/36 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) y))) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) y))) |
(sin.f64 x) |
x |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 y x))) |
(*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) |
(*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal -1/216 binary64) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/36 binary64) (*.f64 x x)) |
#s(literal 1/36 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(literal -1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9335605131249569 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) | |
| accuracy | 15.684141653169872 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) | |
| accuracy | 24.12286241061784 | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) | |
| accuracy | 27.11120061852445 | #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 5.943658999949888 | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) | |
| accuracy | 7.158001466161674 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| accuracy | 30.49593042903147 | #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) | |
| accuracy | 0.5979165137612837 | (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) | |
| accuracy | 4.041379305136552 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) | |
| accuracy | 15.684141653169872 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) | |
| accuracy | 25.573191800558508 | #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 15.684141653169872 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) | |
| accuracy | 25.290819230061718 | #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0.12109375 | (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) | |
| accuracy | 4.110267365467613 | #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| accuracy | 5.873346499949888 | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| accuracy | 27.03389483939004 | #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
| 124.0ms | 256× | 0 | valid |
Compiled 472 to 53 computations (88.8% saved)
ival-mult: 42.0ms (44.5% of total)const: 25.0ms (26.5% of total)ival-add: 11.0ms (11.7% of total)ival-sin: 7.0ms (7.4% of total)ival-div: 6.0ms (6.4% of total)ival-sub: 1.0ms (1.1% of total)ival-sinh: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) (patch #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) (patch (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) (patch (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (patch (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) (patch #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (patch (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) (taylor inf y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) (taylor inf y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1/216 (* (pow x 6) y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1/216 (* (pow x 6) y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1/216 (* (pow x 6) y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (* (pow x 6) y)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (* (pow x 6) y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/216 (pow x 6)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) |
| 1.0ms | x | @ | inf | (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) |
| 1.0ms | y | @ | inf | (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) |
| 1.0ms | x | @ | inf | (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) |
| 0.0ms | x | @ | 0 | (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) |
| 1× | egg-herbie |
| 18 102× | lower-fma.f64 |
| 18 102× | lower-fma.f32 |
| 5 704× | lower-*.f64 |
| 5 704× | lower-*.f32 |
| 5 340× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 6398 |
| 1 | 892 | 6009 |
| 2 | 3080 | 5550 |
| 0 | 8132 | 5191 |
| 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))))))))) |
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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)))) |
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(* 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)) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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))) |
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(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
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(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
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(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
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(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
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(+ (* 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)) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 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) |
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(* 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)) |
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(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
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(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(sin x) |
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(* 1/6 (* (pow y 2) (sin x))) |
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(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
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(* 1/6 (* (pow y 2) (sin x))) |
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(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
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(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
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(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
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(* 1/2 (- (exp y) (/ 1 (exp y)))) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 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)))))))) |
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(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
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(* 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)))))) |
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(* 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 |
(* 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)))) |
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(* 1/2 (- (exp y) (/ 1 (exp y)))) |
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(* 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 (* 1/36 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/36 (pow x 2))))) |
(* 1/36 (pow x 4)) |
(* (pow x 4) (+ 1/36 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/36 (pow x 4)) |
(* (pow x 4) (+ 1/36 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 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)) |
(/ (* 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))))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) 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))))) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* 1/6 (* x (pow y 2)))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
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 |
(+ 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)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 y) (* 1/36 y)))) (* 1/6 y)))) |
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ (* -1/36 y) (* 1/36 y)))) (+ (* -1/36 y) (* 1/36 y)))) (* 1/6 y)))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -6 y) (* 6 y)) (pow x 4))) (* -1/6 y)) (* -1 (/ y (pow x 2))))) |
(* (pow x 2) (- (+ (* -1/6 y) (* 6 (/ (+ (* -6 y) (* 6 y)) (pow x 6)))) (+ (* -6 (/ y (pow x 4))) (+ (* -1 (/ y (pow x 2))) (* 6 (/ y (pow x 4))))))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -6 y) (* 6 y)) (pow x 4))) (* -1/6 y)) (* -1 (/ y (pow x 2))))) |
(* (pow x 2) (- (+ (* -1/6 y) (* 6 (/ (+ (* -6 y) (* 6 y)) (pow x 6)))) (+ (* -6 (/ y (pow x 4))) (+ (* -1 (/ y (pow x 2))) (* 6 (/ y (pow x 4))))))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
(/ (* y (+ 1 (* -1/216 (pow x 6)))) (- (+ 1 (* 1/36 (pow x 4))) (* -1/6 (pow x 2)))) |
y |
(+ y (* -1/216 (* (pow x 6) y))) |
(+ y (* -1/216 (* (pow x 6) y))) |
(+ y (* -1/216 (* (pow x 6) y))) |
(* -1/216 (* (pow x 6) y)) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(* -1/216 (* (pow x 6) y)) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
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(*.f64 (fma.f64 #s(literal -1/216 binary64) y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1/216 (* (pow x 6) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) y) #s(literal -1/216 binary64)) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* -1/216 y) (/ y (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/216 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) |
| 7 934× | lower-fma.f32 |
| 7 918× | lower-fma.f64 |
| 4 460× | lower-*.f32 |
| 4 424× | lower-*.f64 |
| 3 776× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 543 |
| 0 | 104 | 527 |
| 1 | 340 | 456 |
| 2 | 2378 | 456 |
| 0 | 8366 | 448 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(sin.f64 x) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 y x) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
(*.f64 (/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) (/.f64 (sin.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) (sin.f64 x)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x)) |
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (sin.f64 x) x))) |
(pow.f64 (/.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))))) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) #s(literal 1 binary64))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1/10077696 binary64) #s(literal 1 binary64)) (/.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) y)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1/10077696 binary64) #s(literal 1 binary64)) y)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1/10077696 binary64) #s(literal 1 binary64)) (/.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1/10077696 binary64) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(neg.f64 (*.f64 (/.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (*.f64 (/.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) y) |
(*.f64 y (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y) (*.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))) (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))) (*.f64 y #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))) (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)))) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1/10077696 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1/10077696 binary64) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)))))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1/10077696 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) y) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1/10077696 binary64) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y)) |
(fma.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)) y)) |
(+.f64 (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x))) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x)) x) (*.f64 x x)))) |
Compiled 32 751 to 1 855 computations (94.3% saved)
48 alts after pruning (41 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 005 | 17 | 1 022 |
| Fresh | 1 | 24 | 25 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 010 | 48 | 1 058 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.4% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 59.7% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| ✓ | 84.3% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| 51.4% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 48.2% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 52.7% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 52.7% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 15.9% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 48.5% | (/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) | |
| 71.5% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y))) x) | |
| ✓ | 36.6% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
| 27.5% | (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) | |
| 24.6% | (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) | |
| 61.6% | (/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| ✓ | 100.0% | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 62.4% | (*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) | |
| 48.4% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) | |
| 47.0% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) | |
| 58.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| 62.3% | (*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| 66.3% | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) | |
| 63.4% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) | |
| ✓ | 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 44.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64))))) | |
| 45.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) | |
| 44.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) | |
| 41.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) | |
| 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) | |
| 75.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) | |
| ✓ | 87.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
| 58.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 57.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 58.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 36.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 36.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ✓ | 26.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 56.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 52.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x)) y) y)) y)) | |
| 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) | |
| 45.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(approx (- 1 (* (* x x) -1/6)) #s(literal 1 binary64))))))) | |
| 31.8% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #s(approx (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6))) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) x) x)))))) | |
| 48.5% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) | |
| 52.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) | |
| 38.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) | |
| 35.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) | |
| 15.9% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) | |
| 38.7% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) | |
| 50.9% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
Compiled 2 323 to 761 computations (67.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #s(approx (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6))) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) x) x)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(approx (- 1 (* (* x x) -1/6)) #s(literal 1 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x)) y) y)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sinh.f64 y) (sin.f64 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
4 calls:
| 21.0ms | x |
| 20.0ms | y |
| 19.0ms | (sinh.f64 y) |
| 17.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 100.0% | 1 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #s(approx (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6))) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) x) x)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(approx (- 1 (* (* x x) -1/6)) #s(literal 1 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x)) y) y)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
4 calls:
| 147.0ms | (sinh.f64 y) |
| 18.0ms | x |
| 18.0ms | y |
| 14.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | x |
| 99.2% | 3 | y |
| 98.1% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 93.5% | 2 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #s(approx (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6))) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) x) x)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(approx (- 1 (* (* x x) -1/6)) #s(literal 1 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x)) y) y)) y)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
1 calls:
| 13.0ms | (/.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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #s(approx (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6))) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) x) x)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(approx (- 1 (* (* x x) -1/6)) #s(literal 1 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
1 calls:
| 13.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #s(approx (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6))) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) x) x)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(approx (- 1 (* (* x x) -1/6)) #s(literal 1 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)) |
4 calls:
| 33.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 13.0ms | (sinh.f64 y) |
| 13.0ms | y |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 2 | (sinh.f64 y) |
| 81.4% | 4 | y |
| 77.2% | 3 | x |
| 90.1% | 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) #s(approx (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6))) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) x) x)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(approx (- 1 (* (* x x) -1/6)) #s(literal 1 binary64))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
1 calls:
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
1 calls:
| 53.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
1 calls:
| 9.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(*.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 x #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
1 calls:
| 21.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64)) x)))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (* (+ (* (* (* x x) x) (* (* (* x x) x) -1/216)) 1) y) (+ (* (* 1/36 (* x x)) (* x x)) (- 1 (* (* x x) -1/6)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 y (*.f64 x x))) x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (*.f64 y y))) y) y))))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
1 calls:
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64)) x) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
2 calls:
| 5.0ms | y |
| 5.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 4 | y |
| 79.6% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
3 calls:
| 3.0ms | (sinh.f64 y) |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 2 | (sinh.f64 y) |
| 63.3% | 3 | x |
| 75.7% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
1 calls:
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
3 calls:
| 3.0ms | y |
| 3.0ms | (sinh.f64 y) |
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 1 | (sinh.f64 y) |
| 55.7% | 2 | y |
| 63.5% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 2 | x |
| 52.7% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 52.6% | 2 | (sinh.f64 y) |
| 52.6% | 2 | y |
| 44.9% | 2 | x |
Compiled 19 to 13 computations (31.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
4 calls:
| 40.0ms | y |
| 1.0ms | x |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.8% | 1 | x |
| 26.8% | 1 | (sinh.f64 y) |
| 26.8% | 1 | y |
| 26.8% | 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 | 1.9010206993570422e-74 | 6.8230114789278405e-71 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9010206993570422e-74 | 6.8230114789278405e-71 |
| 0.0ms | -inf | -1.1241455876523299e-95 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9010206993570422e-74 | 6.8230114789278405e-71 |
| 0.0ms | -inf | -1.1241455876523299e-95 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3667148931810521e-216 | 8.066543031614173e-209 |
| 0.0ms | -3.0505886453506475e-170 | -9.165873177833701e-205 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9010206993570422e-74 | 6.8230114789278405e-71 |
| 0.0ms | -3.0505886453506475e-170 | -9.165873177833701e-205 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9010206993570422e-74 | 6.8230114789278405e-71 |
| 0.0ms | -3.0505886453506475e-170 | -9.165873177833701e-205 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9010206993570422e-74 | 6.8230114789278405e-71 |
| 0.0ms | -3.0505886453506475e-170 | -9.165873177833701e-205 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9010206993570422e-74 | 6.8230114789278405e-71 |
| 0.0ms | -2.746885947588726e-296 | -0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6084672812556036e-156 | 1.2928682607549513e-154 |
| 0.0ms | -2.746885947588726e-296 | -0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3667148931810521e-216 | 8.066543031614173e-209 |
| 0.0ms | -2.746885947588726e-296 | -0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.719298257600038e-165 | 1.6084672812556036e-156 |
| 0.0ms | -2.746885947588726e-296 | -0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.719298257600038e-165 | 1.6084672812556036e-156 |
| 0.0ms | -2.746885947588726e-296 | -0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.719298257600038e-165 | 1.6084672812556036e-156 |
| 0.0ms | -3.0505886453506475e-170 | -9.165873177833701e-205 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.0505886453506475e-170 | -9.165873177833701e-205 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 7.4475556217033e+27 | 9.912673328170543e+28 |
| 7.0ms | 96× | 0 | valid |
Compiled 168 to 101 computations (39.9% saved)
ival-sin: 3.0ms (56.7% of total)ival-div: 1.0ms (18.9% of total)ival-mult: 1.0ms (18.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sinh: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7590332044041581 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 66× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1768 |
| 1 | 203 | 1768 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1552518092300709/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7729075046034517/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) (/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1552518092300709/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)))) |
(if (<=.f64 x #s(literal 29000000000000001209972817920 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 y x))) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1552518092300709/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1552518092300709/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sinh.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) (/.f64 x y))) (/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) x))) |
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(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) (* (+ (* -1/6 (* x x)) 1) y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) (*.f64 y y))))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) (/.f64 y x))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) (/.f64 y x))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)))) |
(if (<=.f64 x #s(literal 29000000000000001209972817920 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ y x) (* (+ (* (* y y) 1/6) 1) (sin x))) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 20 520× | lower-fma.f64 |
| 20 520× | lower-fma.f32 |
| 19 490× | lower-fma.f64 |
| 19 490× | lower-fma.f32 |
| 18 102× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 543 |
| 0 | 104 | 527 |
| 1 | 340 | 456 |
| 2 | 2378 | 456 |
| 0 | 8366 | 448 |
| 0 | 206 | 5355 |
| 1 | 721 | 4873 |
| 2 | 2634 | 4652 |
| 3 | 6775 | 4649 |
| 0 | 8251 | 4385 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 27 | 16 |
| 2 | 117 | 16 |
| 3 | 840 | 16 |
| 0 | 8257 | 16 |
| 0 | 113 | 944 |
| 1 | 373 | 889 |
| 2 | 1229 | 849 |
| 3 | 3047 | 828 |
| 0 | 8158 | 792 |
| 0 | 268 | 6398 |
| 1 | 892 | 6009 |
| 2 | 3080 | 5550 |
| 0 | 8132 | 5191 |
| 0 | 266 | 5157 |
| 1 | 925 | 4774 |
| 2 | 3640 | 4436 |
| 3 | 7766 | 4433 |
| 0 | 8011 | 4168 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 016 to 728 computations (63.9% saved)
(negabs y)
(abs x)
Compiled 2 108 to 290 computations (86.2% saved)
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